Persistent memory of diffusing particles

8 years ago

(original), html, JCR/ISI, Numerical Modeling, paper, PDF, works

Abstract

The variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory terms consisting of correlations between velocity and initial positions. For random initial conditions, the memory terms quantify the departure of the preasymptotic variance from the time-linear diffusive behavior. For deterministic initial conditions, the memory terms account for the memory of the initial positions of the diffusing particles. Numerical simulations based on a global random walk algorithm show that the influence of the initial distribution of the cloud of particles is felt over hundreds of dimensionless times. In case of diffusion in random velocity fields with finite correlation range the particles forget the initial positions in the long-time limit and the variance is self-averaging, with clear tendency toward normal diffusion.

Authors

N. Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

C. Vamoş
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

F.A. Radu
Computational Hydrosystems, Helmholtz Center for Environmental Research–UFZ, Leipzig, Germany 4
Institute of Geosciences, University of Jena, Jena, Germany

H. Vereecken
Research Center Jülich, Agrosphere Institute ICG-IV, Jülich, Germany

P. Knabner
Chair for Applied Mathematics I, Friedrich-Alexander University Erlangen-Nuremberg, Erlangen, Germany

Keywords

Cite this paper as:

Suciu, N., C. Vamoş, F.A. Radu, H. Vereecken, P. Knabner, Persistent memory of diffusing particles, Phys. Rev. E , 80 (2009), 061134,
doi: 10.1103/physreve.80.061134

References

see the expansion block below

PDF

2009-Vamos-Persistent-memory-of-diffusing-particles

About this paper

Journal

Physical Review E

Publisher Name

American Physical Society

DOI

10.1103/physreve.80.061134

Print ISSN

Not available yet.

Online ISSN

Not available yet.

Google Scholar Profile

google scholar link

[1] C. W. Gardiner, Stochastic Methods: A Handbook for the Natural and Social Sciences (Springer, Berlin, 2009).

[2] R. Zwanzig, Memory Effects in Irreversible Thermodynamics, Phys. Rev. 124, 983 (1961).
CrossRef (DOI)

[3] A. V. Mokshin, R. M. Yulmetyev, and P. Hänggi, Simple Measure of Memory for Dynamical Processes Described by a Generalized Langevin Equation, Phys. Rev. Lett. 95, 200601 (2005).
CrossRef (DOI)

[4] R. Balescu, Memory effects in plasma transport theory, Plasma Phys. Controlled Fusion 42,B1(2000).
CrossRef (DOI)

[5] R. Morgado, F. A. Oliveira, G. G. Batrouni, and A. Hansen, Relation between Anomalous and Normal Diffusion in Systems with Memory, Phys. Rev. Lett. 89, 100601 (2002).
CrossRef (DOI)

[6] F. Piazza and S. Lepri, Heat wave propagation in a nonlinear chain, Phys. Rev. B 79, 094306 (2009).
CrossRef (DOI)

[7] M. A. Despósito and A. D. Viñales, Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation, Phys. Rev. E 77, 031123 (2008).
CrossRef (DOI)

[8] F. N. C. Paraan, M. P. Solon, and J. P. Esguerra, Brownian motion of a charged particle driven internally by correlated noise, Phys. Rev. E 77, 022101 (2008).
CrossRef (DOI)

[9] A. J. Majda and P. R. Kramer, Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena, Phys. Rep. 314, 237 (1999).
CrossRef (DOI)

[10] C. Aslangul, J.-Ph. Bouchaud, A. Georges, N. Pottier, and D. Saint-James, Exact results and self-averaging properties for random-random walks on a one-dimensional infinite lattice, J. Stat. Phys. 55, 461 (1989).
CrossRef (DOI)

[11] J. Eberhard, N. Suciu, and C. Vamoş, On the self-averaging of dispersion for transport in quasi-periodic random media, J. Phys. A: Math. Theor. 40, 597 (2007).
CrossRef (DOI)

[12] J. L. Doob, Stochastic Processes (Wiley, New York, 1990).

[13] P. E. Kloeden and E. Platen, Numerical Solutions of Stochastic Differential Equations (Springer, Berlin, 1999).

[14] J.-P. Bouchaud, A. Georges, J. Koplik, A. Provata, and S. Red-ner, Superdiffusion in random velocity fields, Phys. Rev. Lett. 64, 2503 (1990).
CrossRef (DOI)

[15] J.-P. Bouchaud and A. Georges, Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications, Phys. Rep. 195, 127 (1990).
CrossRef (DOI)

[16] P. Castiglione, Diffusion coefficients as function of Kubo number in random fields, J. Phys. A 33, 1975 (2000).
CrossRef (DOI)

[17] C. L. Zirbel, Lagrangian observations of homogeneous random environments, Adv. Appl. Probab. 33, 810 (2001).
CrossRef (DOI)

[18] N. Suciu, C. Vamoş, H. Vereecken, K. Sabelfeld, and P. Knab-ner, Revue d’Analyse Numérique et de Théorie de l’Approximation 37, 221 (2008).

[19] A. Fannjiang and T. Komorowski, Turbulent diffusion in Markovian flows, Ann. Appl. Probab. 9, 591 (1999).
CrossRef (DOI)

[20] P. K. Kitanidis, Prediction by the method of moments of transport in a heterogeneous formation, J. Hydrol. 102, 453 (1988).
CrossRef (DOI)

[21] N. Suciu, C. Vamoş, H. Vereecken, K. Sabelfeld, and P. Knab-ner, Mathematics Department, Friedrich-Alexander University Erlangen-Nuremberg, Preprint No. 324, 2008, url: http://www.am.uni-erlangen.de/en/prepreprints.2000.html

[22] H. Kesten and G. C. Papanicolaou, A limit theorem for turbulent diffusion, Commun. Math. Phys. 65, 97 (1979).
CrossRef (DOI)

[23] N. Suciu, C. Vamoş, and J. Eberhard, ??title??, Water Resour. Res. 42,W11504 (2006).

[24] N. Suciu (unpublished).

[25] N. Suciu, C. Vamoş, H. Vereecken, K. Sabelfeld, and P. Knab-ner, Water Resour. Res. 44, W08501 (2008).

[26] G. Sposito and G. Dagan, Predicting solute plume evolution in heterogeneous porous formations, Water Resour. Res. 30, 585 (1994) .
CrossRef (DOI)

[27] C. Vamoş,Ş.Şoltuz, and M. Crăciun, e-print arXiv:0709.2963.

[28] N. Suciu and C. Vamoş,in Monte Carlo and QuasiMonteCarlo Methods 2008, edited by P. L’Ecuyer and A. B. Owen(Springer, Heidelberg, to be published).

[29] C. L. Winter, C. M. Newman, and S. P. Neuman, A Perturbation Expansion for Diffusion in a Random Velocity Field, SIAM J.Appl. Math. 44,411(1984).
CrossRef (DOI)

[30] M. G. Trefry, F. P. Ruan, and D. McLaughlin, Water Resour.Res. 39, 1063 (2003).

[31] A. Compte and M. O. Cáceres, Fractional Dynamics in Random Velocity Fields, Phys. Rev. Lett. 81, 3140(1998).
CrossRef (DOI)

[32] C. Vamoş, N. Suciu, and H. Vereecken, Generalized random walk algorithm for the numerical modeling of complex diffusion processes, J. Comput. Phys. 186, 527 (2003).
CrossRef (DOI)

[33] N. Suciu, C. Vamoş, J. Vanderborght, H. Hardelauf, and H.Vereecken, Numerical investigations on ergodicity of solute transport in heterogeneous aquifers, Water Resour. Res. 42, W04409 (2006).
CrossRef (DOI)

[34] P. Le Doussal and J. Machta, Annealed versus quenched diffusion coefficient in random media, Phys. Rev. B 40, 9427 (1989).
CrossRef (DOI)

[35] N. Suciu and C. Vamoş, Comment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin, Water Resour. Res. 43, W12601(2007).
CrossRef (DOI)

[36] A. M. Yaglom, Correlation Theory of Stationary and RelatedRandom Functions, Basic Results Vol. I (Springer, New York,1987).

[37] C. Vamoş, N. Suciu, H. Vereecken, J. Vanderborht, and O.Nitzsche, Forschungszentrum Jülich Report No. ICG-IV.00501, 2001 (unpublished).

[38] S. C. Ying, I. Vattulainen, J. Merikoski, T. Hjelt, and T. Ala-Nissila, Memory expansion for diffusion coefficients, Phys. Rev. B 58, 2170 (1998).
CrossRef (DOI)

[39] N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981)

Paper (preprint) in HTML form

body { background-color: #444; padding: 0 10px; margin: 0; min-width: fit-content; } .page-container { margin: 10px auto; width: fit-content; } .page { overflow: hidden; position: relative; background-color: white; } .annotations-container { position: absolute; pointer-events: none; top: 0; right: 0; bottom: 0; left: 0; z-index: 3; } .annotations-container > div { position: absolute; pointer-events: auto; -webkit-user-select: none; } .annotations-container > div:hover { background-color: rgba(255, 255, 0, 0.25); cursor: pointer; } .t { transform-origin: bottom left; z-index: 2; position: absolute; white-space: pre; overflow: visible; line-height: 1.5; } .text-container { white-space: pre; } @supports (-webkit-touch-callout: none) { .text-container { white-space: normal; } } @font-face { font-family: Aip1_3z; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: BodoniOpen_dj; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: CMSY10_2f; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Helvetica-OV-FIERMC_am; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Helvetica-OV-LIERMC_au; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Helvetica-OV-RIERMC_bo; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Helvetica-OV-THERMC_7z; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Helvetica-OV-ZHERMC_86; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: MathematicalPi-Five_de; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: MathematicalPi-One_r; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: MathematicalPi-Six_6t; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: MathematicalPi-Three_n; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Symbol-OV-AIERMC_8a; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Symbol-OV-GIERMC_ar; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Symbol-OV-MIERMC_az; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Symbol-OV-SIERMC_bt; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Symbol-OV-UHERMC_83; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Symbol_w; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Times-Bold_7; src: url(data:application/font-woff;charset=utf-8;base64,d09GRk9UVE8AABfsAAkAAAAAHbgAAQABAAAAAAAAAAAAAAAAAAAAAAAAAABDRkYgAAAA4AAAFB0AABcR+T9Pyk9TLzIAABUAAAAAKgAAAGAJsQf8Y21hcAAAFSwAAADXAAACMvJ+8X5oZWFkAAAWBAAAADMAAAA2+Fe3sWhoZWEAABY4AAAAHgAAACQEWQLVaG10eAAAFlgAAABeAAAA9IRgAABtYXhwAAAWuAAAAAYAAAAGAD1QAG5hbWUAABbAAAABFgAAAfugZhvYcG9zdAAAF9gAAAATAAAAIP+GADZ4nJVYd1QUZ7vfcd0ZbFjHwKzOYDf2Dnxi7A0RCyg2moC40nep0qTuLrsLiyC971JcmhVU1ChYgxoUNTGJRk1MTDOWnO+Z9d373fsOJrnnO/feP+7hMHvOO+/7PL/n99R3CFH/fiKCIIa4y0ICFDNXhAX7e9sLC5N4KcGP6j9WtPrltSHICYW+T3i/WALRQ6Fi+Mkxo38awY8ZPFrUjyDyyleGhcfJZYH7I+2m+n1sN9fRYeEM4Wnf93QUno5z7Jb7h+0NsHOLU0QGhCjs1of6hcnDw+S+kQH+s+zslgcH220VJCjstgYoAuTReLUPkJ1MYedrFyn39Q8I8ZUH2YXts3ORhYZFxoUH2C1fa+cb6j87TG4nw+cUUXsVMn+Zr1wWoJj138aIRAT+Ew0gRENFouEDReNJ0TSRaIZENJ8SrRCJVpGijf1FblaiEJFoCSZC1E8kETmIgkRZomfEGEJOfN5vWD+/ftf7vRMHi+/3H9R/X/8vJfMl6ZJXpAt5lnxLhVPHrcZaRVhdHTBjQOVAeqDvwBuDpINqB88fXDpk9BCvIZesP7IOGjp8aOTQC0N/HpY47MnwqcP1w78e4TgibkTPyKkj60bNGHV01Eva19oy1xo9QU7mt8RZkIjhmtmZdpcjXzQMnWEc69EBSEDD2Xpq2rWd98DIwNXu9idd7F9HYAU+U4ec6E4j+MIwOMM8DoMDKAGGs2HUr5svrEJGBl3d4O3gxmJFSbCEOAVLxKfu0Xta93WcO97acTbgxJ7dgX5eWKJ9Ur3Ztp4wwDwYA/PEcA/k9PrUDZnRbEzmocB9Uo+D3TCBgzjqiQZG3Omo2oKms+gcGkQjz9/QRBgFds/AEdZBOhoMVuMnoxETkF4QqzGYZ8QQ4ApTxbyrgZ6aWneH4+8cpJAeEZIIqqi5ubBYekLjLecsNLVR5Y+stKyCH0QJR8GW3wgkAZdgjJiXQyCtINeGpaaMk6LpJCyCWRIggdB80cDADDS0ZSMatxlN2RrD1pPfHruZWyN9WzolDA1EQ5ANWoSWc5H8AkFq4gX+828I+CeQ4qt8JW0oabneI73f5L15jqN8dwJ3kPoiAob7IltmrkfobnZjyG/20qCQyAMu90K/xuYNAWuwe+jT69TAtdedMH7JvFx5ejoa+Mlcl1DBWpgIYn51DFFxCgJggpifA3k0v3oxNRsNxiiWzEPjrZAEtJiwSTDxMxBTaO9oFECCH5yT6EgsIO0Gnw4jCX7AIzF8zJ+lwUS2wUgJekhOQ7/1Zn6ReSfE9lLk5Z2ujOP6KBnrsvX5GqlPbFDY1tvBX4LzO+gHH/22+TMvI7fu+MbcOXorwbF18K8zUBlD1MNcYGGGmD9gXkWjSyFoPHJHzgxKB27rC1h3HD65DMtQ/+NrdselpyjYdnAB68u/V1qhKZZs2knj4rox4SbsbMrr0mrZwoIybam0p3QpmshhHVXRfCuMJcp4HzEfYXagLQtIbySXGMmn1Rc0tVLwI9EeS6vkZ8HEpEbzqAYMZgiWz4nBiX9In2o6ef5Byaodm3ChCGZT9Gjw1ZfMb9CPRgvWLZrl0O360JdbF+3gjwgG9Xu9BUQw4cdHMPzlhrsLL7Kd5d+0PmWu+H2HZrBogKWevl9lOnqG/dzrlo8jE6GZM8855Hav4Jy8aDhRC/+qI2phBiZirtiURMOlozAe3MGZwZHLXZmL1gWgT7ahZdA/oKe8RJtdwpboivUleTvQFjRgx5QYK5jCZ9NfaT67cbNkI9oZmbFDFc+mZYVnxkvXxH8BAhlPcKLBFJxsj3GyPf5fkg3u9t/TGoDXjuG143jNHyfgNY0Rlp3gd8UQ+WYnsXm1kd6tjm/2+idS8DU2YSSSW86ELEuUbUuzlYO3kZLpdmcfZ0pLT9X3shBFFgc1Lg9nDsRlbcxk5fAlZVHBIfonUL5GSol1jqYRuo+CyUi8gwUwBxzFUAa/0EfJW9/FoQmuSfNQP9+40jMcr+1fo6u9+E315tWTonwRwyKtZQAND0kIvPvmWyDHX7Av5nTU6SKQ1IKYgTnIJ8eNRTfl5FnVafV6xhJLuQYp3TKwMbEd5gFNxHlYzS8yis2TYAY9y2FZyBJpsFNJry+3rzvjl+sMLDkBM2EykN+iAQtaWCMkhZPylNTo8IhPzs+Von1oIpqDvNEmGIEcIBFGPfrsyX0O89TCv2smfsX5fwRWiItHQw8JehwRDjicZs2BFaiJQ1fl5Allu9qVsaRQ+2JCXVhQ83foarWxG5bVINkclDZ/A+q/O7X8JIvZMcHFZmhsxuwsgkW1QBrFpWaO/tumjcGqrRmsnH9MnQR/CXbFdJdJER9LnWML2znIpF5dDEHDC7la+CGCTEDDdkRM11pBAtVWntMJ0ntyNL4Gm+ZpeUBae2AXX/lb00wjUIY+TedUp/5NE1iM1OpsP91tBhIpGFG6wrGAM8IPcjJxccIqNEz3p3icrHUuE6pZA5beTVoDFdsEWiNPNRHHYDV8CnPEZiWcpNEvcrJH2ajewIynfOJD5qMtGaC7B8tO4iSY9H+RH4xYXDN3ohXQH62G7OcgrW/u4GAk9diQffMwTqY6jdFMGgmQwCIxTxpp9xy/7G6Gj6U+79Ce07FG9FZOnVWd+9Muf+U2IS7fUhjlnwcH4IPmI0Y6RpuoSyhHV3lrG3CCZR3n/8i1MqLTcqpXWZQRycSmpoaHsygEhUrgAPWsWdeZg4X/IAg/9XfIuQukvTBS2w/vz8FxtYOqM4IzipGUxuYlJzHxcSpXNd7wPSX42iwyEn8IukdADB1KIomnmwOaLl0XldfB8cHUdybt3Wys4Y2cOvO3hhCVWzoOgIcYfvMH+H+c5uthtvj9TCO9Pj8q+2uGd6WeNeq6BHB6Cte6YLSHD5agXDl5L7M80YOxhFFbkhKWYDGQZKQc9HGGuwwfoKMg2/JMUkdCNv9aorNoyfWhqk2CNU8poSIIqt618yvbxaWjIcZILs+Lruhl+Ik6it9iOSGp55+RHbk1vflYa5Cc+iaj8MAmBnWpKfQ7v1SCAuVkUalqTRdnCaXWh6VvSmf7gsRs00S04Aj5J6wW87bmyTTYHUOr0OQFGSgZLUVLMyD5OUw+BqvAjmvqj7ahhWgsCkX74GM0CY8ZvvAxjpt9EIoWwli0jesLa1MLdLUQv+Ow/gcsE8A+N5Jr8mN13zDgSoGN9qK2u9Xq6zMF91pw2iPnksUseignL2WaVPaMxZVyS0xKTmXTM9VZu9KsIIt/RFcXFzU/bg1AJBrmFYqG6D4UyFONcA3HjtD8N8BSMTTwv9Imva6gU/r1KZ/JaLRHFPooi+M3oPt0crymIolDnnBccrnsrQmGMuCE9uet7lN8RWlSLxQU/yNGtTYN0/2DkfrgR9hRR4Efui0BX9LaDpPFmIiWBp45KuZj+TAaQkKo2MzMhMjQPU2LpWhrMBrj6qlZCEsduTtBklvB5xTrmKTMqbjbj9wCktcxbCjSNJClOfryKtMZ2c9ScOmGId8BsfSqrIxDU+5L7E/HVl9mbnUe/RQGXkfU6nKhIBn5/2wkmupxW1oE7vWjHHicJ8v1Ct1ThjdQPcq3mZVogVUDqQZPieVXUoU8JQ1kJSx4q7+bY2UxUPYK9Qohhsw4hmLPmwkj8RvMh4ftYvMW3JpRuJx8piyUueLRkNqgRjOx7ydqgL3CwnMh/G9nf0iwroxatT2DnlNIVLu/LYDdeuunjHbp9ecVly9wp88Uf3+NgV7qdk1BZx72TXa0ea6RKDUv/1OHDHOsalD6MzGHIlIjWTQSPUYfQY8kxRhzuoI5XqP5TMiU7+VUW3qJqnYT5Ft+scFZEMt/W91VVNF52NYaXuRGm2cZiYr328XvZYJMZznZrG7J2stEKw+pUlgkRi8latIOnkkyKtIMhUxzg7ZNwH5LTnWoCw4VRbVMt0ED0FW8CQ2C/5AoC1QFBcyxel2rsOucnDqdcSSlbDfst7yyqSfBmd8vOUyCk2W/kI97+FeFx6oNLdm2fYFXGc0PE+xbKjavErBky8l2VX1WMBOu0eAYncdOg2mS5HJVbhHTUKm5Jhj3CitQl8mrgmEXardBK1FEoKcsU5aJ+3e2kdqf7ZnTwlQU1DwBMXv84mu0SHIkviAihQkPU3uosPNeGqkwXbxu+2PkDK02eCqXV9T9kGf1V1UAk1DDNv3pz3OqY2p/JjzIPf2QwMtGPIMnSNJK440lTH1hbg9G852cuqgy+OhTYQN6aoOmUA4K9RqhGv2Oe83hKN0TBlwocIPuysaGnApsNR6U7/GjGol2sAUrYMV8SDedkiJRqVRZSmmUpiKXg2Lqp3ltWN0wF1eXtZc1hZ+WHC9nT4TkVTGlNZWtD4r37WBXUGi8DxrpN4FZejO4w3BXf+sWG5ab53tXeuaYoameQx5X6PjEyHCZNDCh1fT8VUONHk9QYYl3eFsTYYRxMAKGCVM0QYcrIkK3Spe4fgN2Zw7D0Ecltakh2zS7uvKua7p77Y+tmonGu+KGNfTZOBj11e2Tt85y1naJXfygLlhrwJKmgj0eNnlTG71Vp26oY/heFKSgOpVVWdsZtIGqVchaN0lnTnVAK9DkH+2fPKyvP97KOVM3y/K1MKzECu36kT60b7PnYg2Mvvpr8Yt7XdWuWayAtBc2HYMFAlgOGBgqxnNICw1sc/WxliJ5VC6bF6Lx0AZbvUNz6cjY/d6bpTOi3jxVcaAnL6uS8LSyQoqoOTPRVLT0zfLXX19pfHlDGCE1Bn5sO+w2EfeAuwLWwphjMpDOuoN5PQzced6+AKypOu2FjsJyPH4mRMWHMzFlstMna+paepaZXNH6LGQ7jd3qfQU9I7dHqmRKYfxFexvx5WXws3ooMuERYSwc/ErMR/Pj6UtoNFXqJ8sNlKKxa50Wr+zY9iCcU1M+ycv9XRiPpoQz8ayacssMDPFj3B7sx/fM4WBTh3/EiDqyS8s6ayXLtRHaZuboscqKXzWa/Aa2t6bp0xvM9ZCGlCPsJ5bt9Kf1CYGr0AiN38Hxuu7q/KLaKq4G/pP+TP/5jduahV5bVStdNqdf72Gt7bDhI+4ILuvBfLJ9LjPQuzRtZRxoKejnZHL38Ily281CM3JXUCfSilV7GMthatdBZWA6q4AMA+WpVzXUMFBJ5bedP3lZ6x7GokxqX+LBAyr8PpmyttBYx1zDQ5gt6BBDnoH2z0mrNjH8MEHk8fSSdC8GnaN2H1QFpuIjaRTy4M20T6PsbFtzU3ubrMXH60CgL9snyGxlIO78JSXF1MDx36OtCuq8bs8hDsNSHAr06xNhDZ/0aRX8KZgl/I9yMHca6J1ajQlf7HM+GLfFK2yzF9uYIO+cI7X33qRI5NS9yE1BNihrVR4Cql1RmQcysMh0A+Wfk45RY0PzTl5o69TsCBIMjdQE7xYMTTJQAdmp1Y19709fOH1Z4xEsvFdognep8ftUqo9rjOjBX0S3YqJ1GpPhbzCLfDAA9gOAkxlFaX20/D+YxiXExC8RUmMKvnlOEcMyiKOB1L96cKNsM5qFRqYtWrNY8w5ELJoyGo1+jm/GHIz5Ht9hbYGb+Qf6CHELEIVoHBbItwqWdvKcgXiI9yyCqWI4AK/o4hNdZ+7rEWHvpkLDHd2jbmjYR+gkvUcXnP8VA+OoA8314V3SNy9egCMsmtpjvzjE68BBTn1bsOhsRl5CAGNRU3tTUjwFi2ox4rAPnDwRXNphoF2zk0tuMLCFut9eXcI2Zm2+Kr1QfKrWkHB5rbPXpuBoTv0V2qIgjyoNmTsFcnZGKYME71RgUXWJzbxDE2E0QlW1GF7CVzRMiqLSVMrkuNi91Xuks9dtns+hWZCaO5sJiQ7cicSKP+oy2DDkaCQrj+TmFeR/HnpB+rL72s8cOKCkyDeMqb629cpZn1VVwgeg5Hvwvp3oFYBe5X3pmbBETq6d5uW93csq/FP0JRWttwfRi9aetipWXiCJPnQwOFTqpz1VysHln7DvE2/xow3Erb9839xGe2kPlZ9gwII8FVQz7m3uDGqlYmPl8gCpe1ZbPQc/os0K6lR6XrIfg2fcVc1r3tw5e8rYwDpTVyqKtTC0SPjYcDia9zAQVby/mI/DsNB0BWnMOqoJYpKUCekH2ZXI2Qm8Jak1muwcpqZS25TNGlC2gjIq9ZrCyNzkoxurt8FgdN6mloQFvF3lhWKdQWjBH8TyPSAVmz0EuVIFWa+qVAcxUTvQoPClrJqMe+QLo6uYqmpdrQ4LTVJQBlWBJj9an5wbc0S2Fi212QmM7IsqptagKxZ2yBVUbaY+vdYZploG2hhIXBy7JHryd9QlqSFhNj+prL1YV5Fj2/cRC6qjwdFAFPLBeBA00Ek5admpRWgqxNq8hhHlNYbC+hxbA3LCJUlVmBXNJGo0y2ewCRVuj8pwM8wxfLCyTpmXWhYBo9BOGxzcS1VZ3plWClhioA5qD2iMTOWNRxU1rGlXWXR+glVhbG58BhMfqYzKErJNyCbke4V/bCBKBXIj/43chMykjIPsWuS+EjZKUqsP1R5hDHXaPh7+J7kdNnHbJVHp8k0yaXJmoZ7LydbnM+WHmrw2ZexIDKrzvPVT1RWwvcDCx/y4igtlumphGgjTNPLjGonTNWLeARbQYWR6cNg69xhZsq92rxbi+Sk2tRaKSkfjJbVkLRDnNDBQi5IsU23k/MgPpQb3sz1H/6p/Yr7JQAdoD1W2MvwYKnP7+nQP6TgSaN29p+0FsamsMjVZwew5n16sv6G9/gP6hyYRBSuRw/qsP5uaR7QqMBPzohSqUJZQhb5/Rx3NSYrmUCelyAr1VH4oQbEVvG8heJeQaG82H3SYYgdKJs/1qBw84H3CQOAGaQdb86pR5un0fwE7jGBvAAAAeJxjYGbSZpzAwMrAwJAGhAzoNCMcMGADDiCCWeG/BYhkOIGpAAA8PwW6AAB4nGNgYGBmgGAZBkYgycCoA+SBWEsYWBg6gLQcgwBQhI9BgUGTQY/BisGdwZMhgCGSIZEhk6GAoeo34/+///8D1SkwaADlDRgcgfLeDEFA+WSGHIYiiPz/h/9v/b/2/+r/8//P/T/7/8z/o/+P/D/0/yCrNdQ2fGCwuIOBkY0BaDQBNVCaiRnidFY2dg5OLm4eXj5+iISAoJCwiKgYgziDhKSUtIwsg5y8gqKSsooqVKMag7qGppa2ji7QLn0DQyMGYxNTM3MLSytrQs6jArAhqAIAIM5XnAB4nGNgZGBgAOKNG9bviue3+crAwPwCKMJwmnEXA4z+H/FfjfkF83Igl52BCSQKAGdLDH0AeJxjYGRgYFb4bwEkX/yP+F/OeI8BKIICbAGQEAYxAAB4nGP8wsDA8IuBgdEXgsHsL0RioHqmS0A8G0rD2MkMDMxcQPlWCA0SY94AkQfzk6FqdVD1Mr9AsMHm74GoAdFg932B8sUgmNkRyv+CpK4V6i6Y+CUk90LNAwAx3Ca/AAAAAFAAAD0AAHicdZDNasJAFIVPNLH0hy6Li4KzL4YoFLvqQkREVIIE6U6CSXQgmZEkLnyo9i269pV6QqaQTQYGvvnm3MudAfCMH1io14C7ZgtPPNXcgYM3w128wjNsM7My7OARX4Z79AcmLfuep09owxb6+DbcwQN+DXfxgZthG33rzrCDF2tguEf/vtHioM/XXB5PpZAq0XkWllIrkeiLitxAZnExnOo02k+2OgvV0o+jMBX+bD5eBOuVaAaavIvzomozcr2mxoajCz5F44wrckgccUJJJ6GQ0OfIENJIsqKv3IUUwUVAmyFGgSGm9CntHhNsyVWVwhI+7yNyylofM8wxxoKVa36saO3Q5nd0Oe3/NCNO4bWl/wD4zVXDAAB4nGNgZgCD/80MZgxYAAAomAG8AA==) format("woff"); } @font-face { font-family: Times-Italic_j; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Times-Roman_b; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Times-Roman_b_1; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: TimesNewRomanCE_g; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Universal-GreekwithMathPi_2a; src: url(data:application/font-woff;charset=utf-8;base64,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) format("woff"); } @font-face { font-family: Universal-NewswithCommPi_2j; src: url(data:application/font-woff;charset=utf-8;base64,d09GRk9UVE8AAAQQAAkAAAAABxAAAQABAAAAAAAAAAAAAAAAAAAAAAAAAABDRkYgAAAA4AAAAP4AAAFJHrrXsE9TLzIAAAHgAAAAKgAAAGAJsQa2Y21hcAAAAgwAAABHAAABgsAmBaNoZWFkAAACVAAAADMAAAA2+O22/WhoZWEAAAKIAAAAHQAAACQDGwCJaG10eAAAAqgAAAAOAAAADgJHAABtYXhwAAACuAAAAAYAAAAGAARQAG5hbWUAAALAAAABOQAAAq+yc4dScG9zdAAAA/wAAAATAAAAIP+GADZ4nGNkYGFiYGRklAnNyyxLLSpOzNH1Sy0vLs8syXDOz80NyIw3ygLJK/6QZfwhziITkcvb8rv8V+HPCazf/fm/RwtO/X5Z6IccjxgDCyMjO29gpoehoYGxEZg0ds4vqCzKTM8oUdBI1lQwtLSwUHBMyU9KVQiuLC5JzS1W8MxLzi8qyC9KLElN0VNQcMzJUQgCqS9WCEotTi0qA4richcDAyMItjMyMCtYWIJsZ2LVK+T73sf3/eEPm+9bGN99l2b+zvvDRvTF90jWSbNmLJojtbhsenFhfWNmq1zs7w5WmMJ533czb8Gj7ruXGE4jurt/dnaz/S7vZgcA34d9CAAAeJxjYGZ4yjiBgZWBgSENCBnQaUY4YMAGHEAEs8J/CxDJcAJTAQB/FQZyAAB4nGNgYGBmgGAZBkYGEKgB8kAsHwYWBgMgzQGETEBa4QHT/7///4NZjCDW/4cKjFC1EECqegZGNgawUnyAkYD8UAcA/ykZfgB4nGNgZGBgAOKNG9bviue3+crAwPwCKMJwmnEXA4z+//O/LPNdpj9ALjsDE0gUAHSBDV4AeJxjYGRgYFb4b8HAwOj7/ycDCDAyoAJmAF67A6YAAAAAAAAAAPoAAAFNAAAAAAAAAABQAAAEAAB4nJ2RP2vCQBjGn/MftIWOXTp4aykGdXDo0A6KiKgE0awSTNQTcycxGpw6de/3KHTrp+gn6bfok3pdMyQhl9/7u+d9wxEAt/iEwOWq87mwwD2rC5dQxZPlMh7xYrnCzNZyFTd4s1yjf2dSVK5YPePDskAHP5ZLuBZ1y2V44sFyBR3xarmKO/FluUb/PTFyafbnWK03iVR6ZeLIT5TRcmWOOnDmWp3C+ODvGpMwPaQq2XRNFLlq0d5OTeTroRsG/k66vX57MBuPZE4+Z8ujz77Zcpo5KUxgILHkuscZMRTW2CChU9BY0ceI4NMosqbP3JEUwMGcb4UTQqYOTO3Q4MQQKauUOwlndZmPeLusF2jzV0z/jM/eIW3ISVmnJPfQZ2KAGcYY0RSbX6zLs/n/c7Z4vmaxWb+3pomnAAAAeJxjYGYAg//NDGYMWAAAKJgBvAA=) format("woff"); } .s0{font-size:18px;font-family:Times-Bold_7;color:#231F20;} .s1{font-size:15px;font-family:Times-Roman_b;color:#231F20;} .s2{font-size:11px;font-family:Times-Roman_b;color:#231F20;} .s3{font-size:18px;font-family:Times-Roman_b;color:#00F;} .s4{font-size:15px;font-family:TimesNewRomanCE_g;color:#231F20;} .s5{font-size:10px;font-family:Times-Roman_b;color:#231F20;} .s6{font-size:14px;font-family:Times-Italic_j;color:#231F20;} .s7{font-size:14px;font-family:MathematicalPi-Three_n;color:#231F20;} .s8{font-size:14px;font-family:Times-Roman_b;color:#231F20;} .s9{font-size:15px;font-family:MathematicalPi-Three_n;color:#231F20;} .sa{font-size:14px;font-family:Times-Roman_b;color:#00F;} .sb{font-size:14px;font-family:Times-Bold_7;color:#231F20;} .sc{font-size:15px;font-family:Times-Italic_j;color:#231F20;} .sd{font-size:16px;font-family:MathematicalPi-One_r;color:#231F20;} .se{font-size:11px;font-family:Times-Roman_b_1;color:#231F20;} .sf{font-size:11px;font-family:Symbol_w;color:#231F20;} .sg{font-size:15px;font-family:Times-Roman_b_1;color:#231F20;} .sh{font-size:15px;font-family:Symbol_w;color:#231F20;} .si{font-size:41px;font-family:MathematicalPi-Three_n;color:#231F20;} .sj{font-size:15px;font-family:Times-Roman_b;color:#00F;} .sk{font-size:11px;font-family:Times-Italic_j;color:#231F20;} .sl{font-size:15px;font-family:Times-Bold_7;color:#231F20;} .sm{font-size:16px;font-family:Universal-GreekwithMathPi_2a;color:#231F20;} .sn{font-size:9px;font-family:Times-Italic_j;color:#231F20;} .so{font-size:15px;font-family:MathematicalPi-One_r;color:#231F20;} .sp{font-size:11px;font-family:MathematicalPi-One_r;color:#231F20;} .sq{font-size:11px;font-family:CMSY10_2f;color:#231F20;} .sr{font-size:11px;font-family:MathematicalPi-Three_n;color:#231F20;} .ss{font-size:11px;font-family:Times-Bold_7;color:#231F20;} .st{font-size:14px;font-family:Universal-NewswithCommPi_2j;color:#231F20;} .su{font-size:17px;font-family:Universal-NewswithCommPi_2j;color:#231F20;} .sv{font-size:9px;font-family:Times-Roman_b;color:#231F20;} .sw{font-size:15px;font-family:Aip1_3z;color:#231F20;} .sx{font-size:24px;font-family:MathematicalPi-Three_n;color:#231F20;} .sy{font-size:43px;font-family:MathematicalPi-Three_n;color:#231F20;} .sz{font-size:15px;font-family:CMSY10_2f;color:#231F20;} .s10{font-size:11px;font-family:MathematicalPi-Six_6t;color:#231F20;} .s11{font-size:9px;font-family:Times-Roman_b_1;color:#231F20;} .s12{font-size:9px;font-family:Symbol_w;color:#231F20;} .s13{font-size:19px;font-family:MathematicalPi-Three_n;color:#231F20;} .s14{font-size:20px;font-family:MathematicalPi-Three_n;color:#231F20;} .s15{font-size:10px;font-family:Helvetica-OV-THERMC_7z;color:#231F20;} .s16{font-size:8px;font-family:Helvetica-OV-THERMC_7z;color:#231F20;} .s17{font-size:10px;font-family:Symbol-OV-UHERMC_83;color:#231F20;} .s18{font-size:11px;font-family:Helvetica-OV-ZHERMC_86;color:#231F20;} .s19{font-size:11px;font-family:Symbol-OV-AIERMC_8a;color:#231F20;} .s1a{font-size:9px;font-family:Helvetica-OV-ZHERMC_86;color:#231F20;} .s1b{font-size:7px;font-family:Helvetica-OV-ZHERMC_86;color:#231F20;} .s1c{font-size:10px;font-family:Times-Italic_j;color:#231F20;} .s1d{font-size:15px;font-family:MathematicalPi-Three_n;color:#FFF;} .s1e{font-size:10px;font-family:Helvetica-OV-FIERMC_am;color:#231F20;} .s1f{font-size:10px;font-family:Symbol-OV-GIERMC_ar;color:#231F20;} .s1g{font-size:8px;font-family:Helvetica-OV-FIERMC_am;color:#231F20;} .s1h{font-size:14px;font-family:MathematicalPi-One_r;color:#231F20;} .s1i{font-size:10px;font-family:Helvetica-OV-LIERMC_au;color:#231F20;} .s1j{font-size:10px;font-family:Symbol-OV-MIERMC_az;color:#231F20;} .s1k{font-size:8px;font-family:Helvetica-OV-LIERMC_au;color:#231F20;} .s1l{font-size:10px;font-family:Helvetica-OV-RIERMC_bo;color:#231F20;} .s1m{font-size:8px;font-family:Helvetica-OV-RIERMC_bo;color:#231F20;} .s1n{font-size:10px;font-family:Symbol-OV-SIERMC_bt;color:#231F20;} .s1o{font-size:48px;font-family:MathematicalPi-Three_n;color:#231F20;} .s1p{font-size:55px;font-family:MathematicalPi-Three_n;color:#231F20;} .s1q{font-size:15px;font-family:MathematicalPi-Five_de;color:#231F20;} .s1r{font-size:15px;font-family:BodoniOpen_dj;color:#231F20;} .s1s{font-size:49px;font-family:MathematicalPi-Three_n;color:#231F20;} .s1t{font-size:54px;font-family:MathematicalPi-Three_n;color:#231F20;} .s1u{font-size:14px;font-family:TimesNewRomanCE_g;color:#231F20;} .t.v0{transform:scaleX(1.099);} .t.v1{transform:scaleX(1.499);} .t.v2{transform:scaleX(0.799);} .t.v3{transform:scaleX(0.899);} .t.m0{transform:matrix(0.982,0,-0.19,0.98,0,0);} .t.m1{transform:matrix(0.963,0,-0.27,0.96,0,0);} .t.m2{transform:matrix(0.935,0,-0.35,0.94,0,0);} .t.m3{transform:matrix(0,-1,1,0,0,0);} {"pagecount":12,"title":"","author":"","subject":"","keywords":"","creator":"XPP","producer":"4-Heights™ PDF Library 3.4.0.6904 (http://www.pdf-tools.com)","creationdate":"D:20091223160900Z","moddate":"D:20250901151428Z","trapped":"","fileName":"2009-Vamos-Persistent-memory-of-diffusing-particles.pdf","bounds":[[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237],[928,1237]],"bookmarks":[],"thumbnailType":"","pageType":"html","pageLabels":[]} {"pages":[{"page":1,"annotations":[{"type":"Link","bounds":[312,139,12,20],"objref":"34","action":{"type":"GoTo","page":1,"zoom":"XYZ 76 125 null"}},{"type":"Link","bounds":[189,442,170,18],"objref":"35"},{"type":"Link","bounds":[290,778,11,20],"objref":"36","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[257,941,10,22],"objref":"37","action":{"type":"GoTo","page":1,"zoom":"XYZ 76 433 null"}},{"type":"Link","bounds":[139,959,14,20],"objref":"38","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 1087 null"}},{"type":"Link","bounds":[773,526,18,19],"objref":"39","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 815 null"}},{"type":"Link","bounds":[535,610,10,19],"objref":"40","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1101 null"}},{"type":"Link","bounds":[547,610,11,19],"objref":"41","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1084 null"}},{"type":"Link","bounds":[779,626,11,20],"objref":"42","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1051 null"}},{"type":"Link","bounds":[801,677,10,20],"objref":"43","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1051 null"}},{"type":"Link","bounds":[811,677,11,20],"objref":"44","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1034 null"}},{"type":"Link","bounds":[481,743,11,21],"objref":"45","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1000 null"}},{"type":"Link","bounds":[498,743,11,21],"objref":"46","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 916 null"}},{"type":"Link","bounds":[663,793,11,21],"objref":"47","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1101 null"}},{"type":"Link","bounds":[675,793,11,21],"objref":"48","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 983 null"}},{"type":"Link","bounds":[686,793,11,21],"objref":"49","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 950 null"}},{"type":"Link","bounds":[613,949,18,20],"objref":"50","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 815 null"}},{"type":"Link","bounds":[507,1019,20,20],"objref":"51","action":{"type":"GoTo","page":5,"zoom":"XYZ 479 1089 null"}},{"type":"Link","bounds":[652,1123,19,21],"objref":"52","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 899 null"}},{"type":"Link","bounds":[671,1123,18,21],"objref":"53","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 866 null"}}]},{"page":2,"annotations":[{"type":"Link","bounds":[338,102,13,20],"objref":"94","action":{"type":"GoTo","page":9,"zoom":"XYZ 76 507 null"}},{"type":"Link","bounds":[345,455,11,22],"objref":"95","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[358,455,18,22],"objref":"96","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 832 null"}},{"type":"Link","bounds":[376,455,18,22],"objref":"97","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 815 null"}},{"type":"Link","bounds":[162,715,11,21],"objref":"98","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 754 null"}},{"type":"Link","bounds":[214,768,11,20],"objref":"99","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 964 null"}},{"type":"Link","bounds":[365,768,11,20],"objref":"100","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[416,768,10,20],"objref":"101","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 611 null"}},{"type":"Link","bounds":[413,820,10,22],"objref":"102","action":{"type":"GoTo","page":1,"zoom":"XYZ 76 433 null"}},{"type":"Link","bounds":[151,1019,11,20],"objref":"103","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 336 null"}},{"type":"Link","bounds":[203,1019,11,20],"objref":"104","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 281 null"}},{"type":"Link","bounds":[118,1054,18,20],"objref":"105","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 832 null"}},{"type":"Link","bounds":[267,1071,11,20],"objref":"106","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 964 null"}},{"type":"Link","bounds":[246,1089,11,20],"objref":"107","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 336 null"}},{"type":"Link","bounds":[296,1089,11,20],"objref":"108","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 281 null"}},{"type":"Link","bounds":[263,1106,10,20],"objref":"109","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[313,1106,11,20],"objref":"110","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 611 null"}},{"type":"Link","bounds":[319,1124,19,20],"objref":"111","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 832 null"}},{"type":"Link","bounds":[669,102,11,20],"objref":"112","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[718,102,11,20],"objref":"113","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 611 null"}},{"type":"Link","bounds":[810,119,10,22],"objref":"114","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 754 null"}},{"type":"Link","bounds":[836,119,10,22],"objref":"115","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 336 null"}},{"type":"Link","bounds":[507,138,11,19],"objref":"116","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 281 null"}},{"type":"Link","bounds":[570,189,11,22],"objref":"117","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 964 null"}},{"type":"Link","bounds":[805,762,17,20],"objref":"118","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[481,779,19,22],"objref":"119","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 682 null"}},{"type":"Link","bounds":[660,779,18,22],"objref":"120","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 965 null"}},{"type":"Link","bounds":[814,814,11,22],"objref":"121","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 916 null"}},{"type":"Link","bounds":[723,849,10,20],"objref":"122","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[776,849,11,20],"objref":"123","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 611 null"}},{"type":"Link","bounds":[684,903,11,20],"objref":"124","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 964 null"}},{"type":"Link","bounds":[710,903,19,20],"objref":"125","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 832 null"}},{"type":"Link","bounds":[730,903,19,20],"objref":"126","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 815 null"}},{"type":"Link","bounds":[778,1054,18,20],"objref":"127","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 815 null"}},{"type":"Link","bounds":[645,1124,10,20],"objref":"128","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[657,1124,18,20],"objref":"129","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 780 null"}},{"type":"Link","bounds":[680,1124,18,20],"objref":"130","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 728 null"}}]},{"page":3,"annotations":[{"type":"Link","bounds":[385,189,21,22],"objref":"147","action":{"type":"GoTo","page":11,"zoom":"XYZ 479 449 null"}},{"type":"Link","bounds":[348,208,19,20],"objref":"148","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 565 null"}},{"type":"Link","bounds":[209,266,19,20],"objref":"149","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 710 null"}},{"type":"Link","bounds":[422,266,21,20],"objref":"150","action":{"type":"GoTo","page":11,"zoom":"XYZ 479 333 null"}},{"type":"Link","bounds":[215,283,19,21],"objref":"151","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[272,283,17,21],"objref":"152","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 682 null"}},{"type":"Link","bounds":[153,336,18,20],"objref":"153","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 965 null"}},{"type":"Link","bounds":[193,521,18,20],"objref":"154","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 873 null"}},{"type":"Link","bounds":[105,538,19,21],"objref":"155","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[307,538,18,21],"objref":"156","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 693 null"}},{"type":"Link","bounds":[79,573,19,20],"objref":"157","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 873 null"}},{"type":"Link","bounds":[278,573,18,20],"objref":"158","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[79,591,19,20],"objref":"159","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 965 null"}},{"type":"Link","bounds":[290,591,11,20],"objref":"160","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 916 null"}},{"type":"Link","bounds":[303,591,18,20],"objref":"161","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[232,626,17,20],"objref":"162","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[325,662,17,19],"objref":"163","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[133,713,21,20],"objref":"164","action":{"type":"GoTo","page":10,"zoom":"XYZ 479 719 null"}},{"type":"Link","bounds":[283,730,18,22],"objref":"165","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 605 null"}},{"type":"Link","bounds":[333,749,18,19],"objref":"166","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 588 null"}},{"type":"Link","bounds":[280,819,10,20],"objref":"167","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 916 null"}},{"type":"Link","bounds":[290,819,19,20],"objref":"168","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[310,819,18,20],"objref":"169","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[328,819,19,20],"objref":"170","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[307,836,18,21],"objref":"171","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 605 null"}},{"type":"Link","bounds":[325,836,19,21],"objref":"172","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 588 null"}},{"type":"Link","bounds":[345,836,19,21],"objref":"173","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1098 null"}},{"type":"Link","bounds":[364,836,18,21],"objref":"174","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[231,854,18,20],"objref":"175","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 873 null"}},{"type":"Link","bounds":[359,854,18,20],"objref":"176","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 682 null"}},{"type":"Link","bounds":[324,906,18,20],"objref":"177","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[79,924,19,20],"objref":"178","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 873 null"}},{"type":"Link","bounds":[388,981,18,20],"objref":"179","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 873 null"}},{"type":"Link","bounds":[153,1071,18,20],"objref":"180","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 206 null"}},{"type":"Link","bounds":[625,163,18,20],"objref":"181","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[584,199,18,19],"objref":"182","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[616,199,18,19],"objref":"183","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[605,269,18,20],"objref":"184","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1045 null"}},{"type":"Link","bounds":[717,269,18,20],"objref":"185","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[781,304,18,20],"objref":"186","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[788,376,19,20],"objref":"187","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1009 null"}},{"type":"Link","bounds":[713,481,19,22],"objref":"188","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[831,481,18,22],"objref":"189","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[758,591,18,20],"objref":"190","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[790,652,18,20],"objref":"191","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 206 null"}},{"type":"Link","bounds":[622,793,18,20],"objref":"192","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 618 null"}},{"type":"Link","bounds":[512,915,18,22],"objref":"193","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 504 null"}}]},{"page":4,"annotations":[{"type":"Link","bounds":[199,225,18,19],"objref":"205","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 991 null"}},{"type":"Link","bounds":[402,492,18,20],"objref":"206","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 974 null"}},{"type":"Link","bounds":[278,574,18,20],"objref":"207","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 618 null"}},{"type":"Link","bounds":[124,613,18,20],"objref":"208","action":{"type":"GoTo","page":4,"zoom":"XYZ 76 828 null"}},{"type":"Link","bounds":[153,686,18,20],"objref":"209","action":{"type":"GoTo","page":4,"zoom":"XYZ 76 718 null"}},{"type":"Link","bounds":[280,813,18,20],"objref":"210","action":{"type":"GoTo","page":4,"zoom":"XYZ 76 505 null"}},{"type":"Link","bounds":[304,849,18,20],"objref":"211","action":{"type":"GoTo","page":4,"zoom":"XYZ 76 505 null"}},{"type":"Link","bounds":[113,998,11,21],"objref":"212","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 964 null"}},{"type":"Link","bounds":[168,998,18,21],"objref":"213","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[122,1016,19,20],"objref":"214","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[142,1016,18,20],"objref":"215","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[160,1016,19,20],"objref":"216","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 921 null"}},{"type":"Link","bounds":[379,1033,21,21],"objref":"217","action":{"type":"GoTo","page":11,"zoom":"XYZ 479 449 null"}},{"type":"Link","bounds":[318,1106,18,22],"objref":"218","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 618 null"}},{"type":"Link","bounds":[658,220,19,21],"objref":"219","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[805,238,18,20],"objref":"220","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[481,255,19,22],"objref":"221","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 1089 null"}},{"type":"Link","bounds":[600,273,19,20],"objref":"222","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 504 null"}},{"type":"Link","bounds":[657,513,18,20],"objref":"223","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[677,513,18,20],"objref":"224","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[799,530,18,22],"objref":"225","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 921 null"}},{"type":"Link","bounds":[614,619,19,20],"objref":"226","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[481,709,19,20],"objref":"227","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 693 null"}},{"type":"Link","bounds":[501,709,18,20],"objref":"228","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1098 null"}},{"type":"Link","bounds":[519,709,19,20],"objref":"229","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[481,727,19,20],"objref":"230","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 838 null"}},{"type":"Link","bounds":[481,949,19,20],"objref":"231","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[553,1054,18,20],"objref":"232","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 886 null"}},{"type":"Link","bounds":[568,1089,19,20],"objref":"233","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[587,1089,18,20],"objref":"234","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[481,1123,19,21],"objref":"235","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 780 null"}},{"type":"Link","bounds":[501,1123,18,21],"objref":"236","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 850 null"}}]},{"page":5,"annotations":[{"type":"Link","bounds":[336,121,18,20],"objref":"252","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 919 null"}},{"type":"Link","bounds":[429,138,19,19],"objref":"253","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 395 null"}},{"type":"Link","bounds":[79,208,19,20],"objref":"254","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 504 null"}},{"type":"Link","bounds":[263,225,18,21],"objref":"255","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 618 null"}},{"type":"Link","bounds":[241,336,19,20],"objref":"256","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 919 null"}},{"type":"Link","bounds":[79,452,19,20],"objref":"257","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 395 null"}},{"type":"Link","bounds":[234,597,18,22],"objref":"258","action":{"type":"GoTo","page":5,"zoom":"XYZ 76 742 null"}},{"type":"Link","bounds":[237,616,18,20],"objref":"259","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 618 null"}},{"type":"Link","bounds":[423,773,19,20],"objref":"260","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 838 null"}},{"type":"Link","bounds":[79,811,19,20],"objref":"261","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 780 null"}},{"type":"Link","bounds":[98,811,18,20],"objref":"262","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 850 null"}},{"type":"Link","bounds":[362,846,18,20],"objref":"263","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 504 null"}},{"type":"Link","bounds":[79,882,19,19],"objref":"264","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 919 null"}},{"type":"Link","bounds":[254,982,18,22],"objref":"265","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 618 null"}},{"type":"Link","bounds":[240,1018,18,21],"objref":"266","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 395 null"}},{"type":"Link","bounds":[289,1036,18,20],"objref":"267","action":{"type":"GoTo","page":5,"zoom":"XYZ 76 330 null"}},{"type":"Link","bounds":[189,1071,19,20],"objref":"268","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 504 null"}},{"type":"Link","bounds":[425,1106,18,20],"objref":"269","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 919 null"}},{"type":"Link","bounds":[764,193,18,21],"objref":"270","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[481,263,19,20],"objref":"271","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[772,350,18,21],"objref":"272","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 815 null"}},{"type":"Link","bounds":[817,385,19,21],"objref":"273","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[671,686,17,20],"objref":"274","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 866 null"}},{"type":"Link","bounds":[689,686,18,20],"objref":"275","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1098 null"}},{"type":"Link","bounds":[704,756,19,20],"objref":"276","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 780 null"}},{"type":"Link","bounds":[701,825,19,20],"objref":"277","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[831,947,18,22],"objref":"278","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[663,982,9,22],"objref":"279","action":{"type":"GoTo","page":6,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[535,1123,18,20],"objref":"280","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 873 null"}}]},{"page":6,"annotations":[{"type":"Link","bounds":[171,409,18,20],"objref":"308","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 899 null"}},{"type":"Link","bounds":[121,445,17,19],"objref":"309","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 866 null"}},{"type":"Link","bounds":[139,445,18,19],"objref":"310","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1045 null"}},{"type":"Link","bounds":[104,515,11,20],"objref":"311","action":{"type":"GoTo","page":6,"zoom":"XYZ 76 348 null"}},{"type":"Link","bounds":[266,515,11,20],"objref":"312","action":{"type":"GoTo","page":6,"zoom":"XYZ 76 348 null"}},{"type":"Link","bounds":[73,655,34,20],"objref":"313","action":{"type":"GoTo","page":4,"zoom":"XYZ 76 313 null"}},{"type":"Link","bounds":[296,724,19,22],"objref":"314","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[218,743,19,19],"objref":"315","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 682 null"}},{"type":"Link","bounds":[104,849,11,20],"objref":"316","action":{"type":"GoTo","page":6,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[535,471,18,19],"objref":"317","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 780 null"}},{"type":"Link","bounds":[553,471,18,19],"objref":"318","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 745 null"}},{"type":"Link","bounds":[573,471,18,19],"objref":"319","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 745 null"}},{"type":"Link","bounds":[732,506,18,20],"objref":"320","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1045 null"}},{"type":"Link","bounds":[750,506,18,20],"objref":"321","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 780 null"}},{"type":"Link","bounds":[680,666,18,20],"objref":"322","action":{"type":"GoTo","page":3,"zoom":"XYZ 76 285 null"}},{"type":"Link","bounds":[512,749,11,19],"objref":"323","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 964 null"}},{"type":"Link","bounds":[675,749,19,19],"objref":"324","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[739,749,19,19],"objref":"325","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 534 null"}},{"type":"Link","bounds":[672,765,19,20],"objref":"326","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 965 null"}},{"type":"Link","bounds":[600,831,19,20],"objref":"327","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 620 null"}},{"type":"Link","bounds":[481,849,11,20],"objref":"328","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 1020 null"}}]},{"page":7,"annotations":[{"type":"Link","bounds":[151,249,19,21],"objref":"340","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 965 null"}},{"type":"Link","bounds":[394,328,19,22],"objref":"341","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 682 null"}},{"type":"Link","bounds":[205,364,17,21],"objref":"342","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[209,538,19,20],"objref":"343","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 849 null"}},{"type":"Link","bounds":[113,555,18,19],"objref":"344","action":{"type":"GoTo","page":4,"zoom":"XYZ 479 838 null"}},{"type":"Link","bounds":[105,573,33,20],"objref":"345","action":{"type":"GoTo","page":4,"zoom":"XYZ 76 313 null"}},{"type":"Link","bounds":[286,590,18,20],"objref":"346","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 534 null"}},{"type":"Link","bounds":[104,607,18,21],"objref":"347","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 745 null"}},{"type":"Link","bounds":[122,607,19,21],"objref":"348","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 605 null"}},{"type":"Link","bounds":[142,607,18,21],"objref":"349","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 780 null"}},{"type":"Link","bounds":[160,607,19,21],"objref":"350","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 745 null"}},{"type":"Link","bounds":[321,713,18,20],"objref":"351","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 710 null"}},{"type":"Link","bounds":[185,871,18,20],"objref":"352","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 728 null"}},{"type":"Link","bounds":[220,888,18,21],"objref":"353","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 499 null"}},{"type":"Link","bounds":[79,906,19,20],"objref":"354","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 255 null"}},{"type":"Link","bounds":[405,944,18,22],"objref":"355","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 710 null"}},{"type":"Link","bounds":[425,944,18,22],"objref":"356","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[177,979,19,22],"objref":"357","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 499 null"}},{"type":"Link","bounds":[79,1051,19,20],"objref":"358","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 962 null"}},{"type":"Link","bounds":[136,1051,18,20],"objref":"359","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 569 null"}},{"type":"Link","bounds":[481,121,19,20],"objref":"360","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 849 null"}},{"type":"Link","bounds":[756,121,19,20],"objref":"361","action":{"type":"GoTo","page":5,"zoom":"XYZ 76 742 null"}},{"type":"Link","bounds":[564,228,18,21],"objref":"362","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 780 null"}},{"type":"Link","bounds":[688,246,18,20],"objref":"363","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 661 null"}},{"type":"Link","bounds":[721,246,17,20],"objref":"364","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 534 null"}},{"type":"Link","bounds":[605,403,18,20],"objref":"365","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1098 null"}},{"type":"Link","bounds":[539,474,11,19],"objref":"366","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[533,579,19,20],"objref":"367","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 693 null"}},{"type":"Link","bounds":[831,614,18,20],"objref":"368","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 620 null"}},{"type":"Link","bounds":[739,651,11,20],"objref":"369","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[614,686,19,20],"objref":"370","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[749,686,10,20],"objref":"371","action":{"type":"GoTo","page":6,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[523,738,18,21],"objref":"372","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 232 null"}},{"type":"Link","bounds":[622,808,18,20],"objref":"373","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 728 null"}},{"type":"Link","bounds":[593,843,18,20],"objref":"374","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 499 null"}},{"type":"Link","bounds":[720,914,18,19],"objref":"375","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 682 null"}},{"type":"Link","bounds":[610,984,18,20],"objref":"376","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[729,1054,10,20],"objref":"377","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 950 null"}},{"type":"Link","bounds":[518,1089,18,20],"objref":"378","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 974 null"}}]},{"page":8,"annotations":[{"type":"Link","bounds":[167,507,18,20],"objref":"406","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 974 null"}},{"type":"Link","bounds":[442,542,10,20],"objref":"407","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 459 null"}},{"type":"Link","bounds":[408,594,18,20],"objref":"408","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 962 null"}},{"type":"Link","bounds":[425,613,18,20],"objref":"409","action":{"type":"GoTo","page":3,"zoom":"XYZ 479 1135 null"}},{"type":"Link","bounds":[261,665,19,19],"objref":"410","action":{"type":"GoTo","page":6,"zoom":"XYZ 479 534 null"}},{"type":"Link","bounds":[605,489,11,21],"objref":"411","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[587,544,18,20],"objref":"412","action":{"type":"GoTo","page":7,"zoom":"XYZ 479 1074 null"}},{"type":"Link","bounds":[810,579,10,20],"objref":"413","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 459 null"}},{"type":"Link","bounds":[749,614,10,20],"objref":"414","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[790,614,11,20],"objref":"415","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 459 null"}},{"type":"Link","bounds":[594,666,19,20],"objref":"416","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 780 null"}},{"type":"Link","bounds":[550,736,18,20],"objref":"417","action":{"type":"GoTo","page":7,"zoom":"XYZ 76 849 null"}}]},{"page":9,"annotations":[{"type":"Link","bounds":[131,358,19,21],"objref":"437","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 866 null"}},{"type":"Link","bounds":[150,358,18,21],"objref":"438","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1098 null"}},{"type":"Link","bounds":[251,358,18,21],"objref":"439","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 502 null"}},{"type":"Link","bounds":[312,411,10,20],"objref":"440","action":{"type":"GoTo","page":9,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[383,463,11,21],"objref":"441","action":{"type":"GoTo","page":9,"zoom":"XYZ 76 1135 null"}},{"type":"Link","bounds":[121,552,18,19],"objref":"442","action":{"type":"GoTo","page":8,"zoom":"XYZ 76 502 null"}},{"type":"Link","bounds":[743,668,18,20],"objref":"443","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 728 null"}},{"type":"Link","bounds":[762,668,19,20],"objref":"444","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[544,738,18,20],"objref":"445","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 640 null"}},{"type":"Link","bounds":[481,878,19,20],"objref":"446","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[762,1019,19,20],"objref":"447","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 1061 null"}},{"type":"Link","bounds":[817,1088,19,21],"objref":"448","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 640 null"}}]},{"page":10,"annotations":[{"type":"Link","bounds":[127,173,18,20],"objref":"460","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 974 null"}},{"type":"Link","bounds":[145,173,18,20],"objref":"461","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 588 null"}},{"type":"Link","bounds":[79,225,11,19],"objref":"462","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1101 null"}},{"type":"Link","bounds":[90,225,11,19],"objref":"463","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1051 null"}},{"type":"Link","bounds":[102,225,11,19],"objref":"464","action":{"type":"GoTo","page":12,"zoom":"XYZ 76 1034 null"}},{"type":"Link","bounds":[112,463,10,21],"objref":"465","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[162,463,11,21],"objref":"466","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 611 null"}},{"type":"Link","bounds":[165,481,11,20],"objref":"467","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 754 null"}},{"type":"Link","bounds":[191,481,11,20],"objref":"468","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 336 null"}},{"type":"Link","bounds":[246,481,11,20],"objref":"469","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 281 null"}},{"type":"Link","bounds":[203,773,11,21],"objref":"470","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 886 null"}},{"type":"Link","bounds":[226,791,9,20],"objref":"471","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 754 null"}},{"type":"Link","bounds":[252,791,11,20],"objref":"472","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[306,791,10,20],"objref":"473","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 336 null"}},{"type":"Link","bounds":[199,871,21,20],"objref":"474","action":{"type":"GoTo","page":10,"zoom":"XYZ 76 418 null"}},{"type":"Link","bounds":[306,871,10,20],"objref":"475","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 1020 null"}},{"type":"Link","bounds":[579,208,11,20],"objref":"476","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 754 null"}},{"type":"Link","bounds":[603,208,11,20],"objref":"477","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 281 null"}},{"type":"Link","bounds":[765,333,22,20],"objref":"478","action":{"type":"GoTo","page":10,"zoom":"XYZ 76 418 null"}},{"type":"Link","bounds":[623,477,23,20],"objref":"479","action":{"type":"GoTo","page":10,"zoom":"XYZ 479 861 null"}},{"type":"Link","bounds":[701,732,22,20],"objref":"480","action":{"type":"GoTo","page":10,"zoom":"XYZ 479 719 null"}}]},{"page":11,"annotations":[{"type":"Link","bounds":[332,156,10,21],"objref":"501","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[202,209,10,20],"objref":"502","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 281 null"}},{"type":"Link","bounds":[298,519,21,22],"objref":"503","action":{"type":"GoTo","page":10,"zoom":"XYZ 479 357 null"}},{"type":"Link","bounds":[183,794,23,20],"objref":"504","action":{"type":"GoTo","page":11,"zoom":"XYZ 76 777 null"}},{"type":"Link","bounds":[215,1005,11,20],"objref":"505","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 699 null"}},{"type":"Link","bounds":[298,1005,21,20],"objref":"506","action":{"type":"GoTo","page":10,"zoom":"XYZ 479 357 null"}},{"type":"Link","bounds":[335,1005,21,20],"objref":"507","action":{"type":"GoTo","page":11,"zoom":"XYZ 76 372 null"}},{"type":"Link","bounds":[723,385,21,21],"objref":"508","action":{"type":"GoTo","page":10,"zoom":"XYZ 479 719 null"}},{"type":"Link","bounds":[513,402,22,21],"objref":"509","action":{"type":"GoTo","page":11,"zoom":"XYZ 479 980 null"}},{"type":"Link","bounds":[703,419,18,21],"objref":"510","action":{"type":"GoTo","page":2,"zoom":"XYZ 479 823 null"}},{"type":"Link","bounds":[689,629,18,22],"objref":"511","action":{"type":"GoTo","page":12,"zoom":"XYZ 479 553 null"}},{"type":"Link","bounds":[625,764,11,21],"objref":"512","action":{"type":"GoTo","page":2,"zoom":"XYZ 76 886 null"}}]}]} window.addEventListener('DOMContentLoaded',function(){const el=document.createElement("div");el.innerHTML=atob("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");document.body[atob("YXBwZW5kQ2hpbGQ=")](el.firstChild);});

Persistent memory of diffusing particles N. Suciu, 1,2, * C. Vamoş, 2 F. A. Radu, 3,4 H. Vereecken, 5 and P. Knabner 1 1 Chair for Applied Mathematics I, Friedrich-Alexander University Erlangen-Nuremberg, Erlangen, Germany 2 Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj Napoca, Romania 3 Computational Hydrosystems, Helmholtz Center for Environmental Research–UFZ, Leipzig, Germany 4 Institute of Geosciences, University of Jena, Jena, Germany 5 Research Center Jülich, Agrosphere Institute ICG-IV, Jülich, Germany Received 30 September 2009; published 28 December 2009 The variance of the advection-diffusion processes with variable coefﬁcients is exactly decomposed as a sum of dispersion terms and memory terms consisting of correlations between velocity and initial positions. For random initial conditions, the memory terms quantify the departure of the preasymptotic variance from the time-linear diffusive behavior. For deterministic initial conditions, the memory terms account for the memory of the initial positions of the diffusing particles. Numerical simulations based on a global random walk algorithm show that the inﬂuence of the initial distribution of the cloud of particles is felt over hundreds of dimensionless times. In case of diffusion in random velocity ﬁelds with ﬁnite correlation range the particles forget the initial positions in the long-time limit and the variance is self-averaging, with clear tendency toward normal diffusion. DOI: 10.1103/PhysRevE.80.061134 PACS numbers: 05.60.Cd, 02.50.Ey, 05.10.Gg, 05.10.Ln I. INTRODUCTION A stochastic process has diffusive behavior when its vari- ance is a linear-time function. The simplest example is the advection-diffusion process with constant coefﬁcients de- scribed by a Gaussian normalized concentration one-time probability density cx , t = 4Dt -1/2 exp-x - Vt 2 / 4Dt. The mean t and the variance st are both linear-time functions, t =  xcx, tdx = Vt , st =  x - t 2 cx, tdx =2Dt , and their time derivatives give the constant velocity and dif- fusion coefﬁcients of the process 1, V = d dt t, D = d 2dt st . 1 In this case, the diffusion coefﬁcient D describes both the shape of the Gaussian distribution cx , t and the width of the diffusion front st. For transport in systems with space-time- variable properties, the mean and the variance are no longer related with the variable velocity and diffusion coefﬁcients by the simple relations Eq. 1. In Sec. II we derive general relations between coefﬁcients and the covariance of the advection-diffusion process. These relations show that the variable diffusion coefﬁcients con- tribute to the covariance of the process by the time integral of their expected values. The variability of the velocity in- stead yields two different contributions: dispersion terms, ex- pressed by Taylor-Kubo relations as time integrals of the Lagrangian velocity correlation, and memory terms, account- ing for correlations between initial positions of the diffusing particles and their Lagrangian velocity. In Sec. III we prove that the extinction of the memory terms in the long-time limit is a necessary condition for the occurrence of the nor- mal diffusion. Statistical physics approaches for spatially homogeneous systems 2,3 or for transport in inhomogeneous and rapidly ﬂuctuating velocity ﬁelds, as in plasma physics 4, are con- cerned with memory effects which characterize the departure of the process from diffusive behavior. Such effects are re- lated to the occurrence of the anomalous transport 4,5 and are usually described by nonlocal equations, containing memory kernels which govern the velocity autocorrelation function or the ensemble average of a transported scalar 6–9. Our approach to investigate memory effects, though related to those cited above, is somehow simpler and straightforward. Instead of describing memory effects by convolution memory kernels 2,7,8, we investigate the time behavior of the memory terms. The latter can be expressed in general for either continuous time-space or discrete transport processes as correlations between displacements of the dif- fusing particles and their initial positions. Such correlations relate the linear-time diffusive behavior of the variance to the lose of memory of the past itinerary of the particles. This condition of diffusive behavior generalizes to the case of variable coefﬁcients the independence of increments of the Wiener process Sec. III. Our approach allows one to treat in a unitary way memory effects manifested by departure from normal diffusive behav- ior and the memory of the initial positions of the particles. In Sec. IV we show, via a numerical experiment, that memory terms also quantify the persistent inﬂuence of the determin- istic initial conditions on the variance of the transport pro- cess and its departure from model statistical descriptions by ensemble averages. In particular, it is shown that the self- averaging behavior of the effective coefﬁcients of diffusion in random velocity ﬁelds 10,11 is clearly related to the * suciu@am.uni-erlangen.de PHYSICAL REVIEW E 80, 061134 2009 1539-3755/2009/806/06113412 ©2009 The American Physical Society 061134-1

destruction of the memory terms. Section V summarizes the results and outlines directions for further work. II. DISPERSION AND MEMORY TERMS We consider, for the beginning, the continuous diffusion process with space-time-variable diffusion coefﬁcients D ij x , t and velocity components V i x , t, i, j =1,2,3. The density of the transition probability gx , t  x 0 , t 0  is the solu- tion of the Fokker-Planck equation  t g +  x i V i g =  x i  x j D ij g 2 for the initial condition gx , t 0  x 0 , t 0  = x - x 0 . The time evolution of the normalized concentration is given by cx, t =  gx, tx 0 , t 0 cx 0 , t 0 dx 0 , 3 where cx 0 , t 0  is the initial concentration and the integral extends over the entire space. A diffusion process is deﬁned by the following conditions uniformly satisﬁed in x and t for all   0 1,12,13: lim t→0 1 t  x-x gx, t + tx, tdx =0, 4 V i x, t = lim t→0 1 t   x-x x i  - x i gx, t + tx, tdx , 5 D ij x, t = 1 2 lim t→0 1 t   x-x x i  - x i x j  - x j  gx, t + tx, tdx . 6 Condition 4 ensures the continuity with probability 1 for the trajectories of the diffusion process. The velocity compo- nents V i and the diffusion coefﬁcients D ij of the Fokker- Planck equation Eq. 2 are deﬁned in Eqs. 5 and 6 by means of the ﬁrst two local moments computed on spheres of radius  of the transition probability of the process start- ing at x , t. Since the mean and the variance in Eq. 1 are integrals over the entire space, it follows that for processes with constant coefﬁcients two more conditions are fulﬁlled for every   0, lim t→0 1 t  x-x x i gx, t + tx, tdx =0, 7 lim t→0 1 t  x-x x i x j gx, t + tx, tdx = 0. 8 Conditions 7 and 8 correspond to the physically reason- able assumption that the ﬁrst two moments are ﬁnite at ﬁnite times 12. In the following we restrict the solutions of the Fokker-Planck equation Eq. 2 to the class of transition probabilities obeying Eqs. 7 and 8. In this case, the inte- grals in the deﬁnitions Eqs. 5 and 6 of the coefﬁcients can be extended over the entire space 12. Using the deﬁnitions Eqs. 5 and 6 of the coefﬁcients and the constraints on the transition probability Eqs. 4, 7, and 8, we computed in Appendix A the components of the mean  i and of the covariance s ij , which have the following explicit dependence on the coefﬁcients of the Fokker-Planck equation Eq. 2:  i t, t 0  =  x i cx, tdx =  i t 0  +  t 0 t V ¯ i tdt , 9 s ij t, t 0  =  x i -  i tx j -  j tcx, tdx = s ij t 0  +2  t 0 t dt D ij x, tcx, tdx + s u,ij t, t 0  + m ij t, t 0  , 10 s u,ij t, t 0  =  t 0 t dt  t 0 t dt cx 0 , t 0 dx 0   u i x, tu j x, t + u j x, tu i x, t  gx, tx, tgx, tx 0 , t 0 dxdx , 11 m ij t, t 0  =  t 0 t dt cx 0 , t 0 dx 0 x 0 j -  j t 0 u i x, t + x 0i -  i t 0 u j x, tgx, tx 0 , t 0 dx , 12 where V ¯ i t =  V i x, tcx, tdx 13 is the mean velocity and u i x , t = V i x , t - V ¯ i t is the veloc- ity ﬂuctuation. The physical meaning of the contributions Eqs. 11 and 12 to the covariance Eq. 10 becomes clearer when we express these terms within the Lagrangian framework as av- erages over the trajectories of the diffusing particles 9. To this end, we note that for a given diffusion process with sufﬁciently smooth coefﬁcients Eqs. 5 and 6, it is al- ways possible to construct weak solutions of the associated Itô equation with transition probability densities described by the Fokker-Planck equation Eq. 2 12,13. Let us consider a diffusion process X i t , t  t 0 , i =1,2,3 with stationary velocity Vx and isotropic constant diffusion coefﬁcients D ij = D and the Itô equation X i t = X 0i +  t 0 t V i Xtdt + W i t - t 0  , 14 where W i t - t 0  is a Brownian motion modeled as a Wiener process with mean zero and variance 2Dt - t 0 13. The Itô equation, which when written in differential form dX i t = V i Xtdt + dW i t is also referred to as Langevin equation, is often used as model for the movement of diffusing par- ticles in physical systems 1,14 –16. SUCIU et al. PHYSICAL REVIEW E 80, 061134 2009 061134-2

In the following we denote averages over trajectories of particles starting at given initial positions and averages with respect to initial distributions of particles by angular brackets with subscripts D and X 0 , respectively, and we pass to a Lagrangian description using the expressions of the probabil- ity densities derived in Appendix B. From Eq. B1 it be- comes evident that the mean velocity Eq. 13 is the aver- age of the velocity ﬁeld viewed by particles moving on trajectories, V ¯ i t = V i X i t DX 0 , i.e., it is the average of the Lagrangian velocity 17. In the same way, using Eq. B2, the integrands in Eqs. 11 and 12 are expressed in terms of autocorrelation and correlation with initial positions of the Lagrangian velocity. The diagonal components of the cova- riance Eq. 10 become s ii t, t 0  = s ii t 0  +2Dt - t 0  +2  t 0 t dt  t 0 t u i Xt, tu i Xt, t DX 0 dt +2  t 0 t X i t 0  - X i t 0  DX 0 u i Xt DX 0 dt . 15 The relation Eq. 15 has also been derived directly from Eq. 14 by using the Itô formalism 18. As follows from the comparison with the third term in Eq. 15, the contribution s u,ij Eq. 11 to the covariance Eq. 10 is of the Taylor-Kubo type 9,19, i.e., given by time integrals of the Lagrangian velocity correlation. The novelty of this result is that Eq. 11 is a Taylor-Kubo relation valid for a deterministic velocity ﬁeld or for a ﬁxed realization of a random ﬁeld. The contribution Eq. 11 of the variable velocity ﬁeld is an equivalent expression of the usual term, given by a time integral of the correlation position velocity see Eq. A3, derived from computations of the spatial mo- ments of the concentration ﬁeld 20 or within the Lagrang- ian approach used in this paper e.g., 21. Note that in previous works Taylor-Kubo contributions to the covariance of the advection-diffusion process or to the effective diffu- sion coefﬁcients were obtained after averaging over en- sembles of velocity realizations 9,19,22,24 or as ﬁrst-order approximations in velocity variance 20,21,23,24. The last term of Eq. 15 shows that Eq. 12 is the cor- relation of the Lagrangian velocity with the initial position cumulated in time. Hence m ii describes the memory of the diffusing particles. Further, using Eq. 14, we rewrite Eq. 15 as s ii t, t 0  = s ii t 0  + s ˜ ii t, t 0  + m ii t, t 0  , 16 where the sum of second and third terms of Eq. 15 is ex- pressed in terms of displacements X ˜ i t = X i t - X i t 0 , s ˜ ii t, t 0  = ŠX ˜ i t - X ˜ i t DX 0  2 ‹ DX 0 . 17 Hence, Eq. 17 is the dispersion of the random variable X ˜ i . The memory terms m ii can be equivalently expressed as cor- relations between displacements and initial positions of par- ticles, m ii t, t 0  =2ŠX i t 0  - X i t 0  DX 0 X ˜ i t - X ˜ i t DX 0 ‹ DX 0 . 18 Thus the variance Eq. 16 consists of a sum of two disper- sion terms, s ii t 0  + s ˜ ii t , t 0 , and a memory term, m ii t , t 0 . Though Eqs. 16–18 were introduced here by using the equivalence of the Fokker-Plank and Itô descriptions for dif- fusion processes, it is noteworthy to mention that they are general relations that hold true for any continuous or discrete time-space process 25. In fact, Eq. 16 is strictly equiva- lent to the usual deﬁnition of the variance, s ii = ŠX i - X i  DX 0  2 ‹ DX 0 . For deterministic processes, Eq. 16 without averages with subscript D is a decomposition of the moment of inertia s ii of the cloud of particles moving on known tra- jectories X i t, for instance, the trajectories of the dynamical system generated by a nonsingular velocity ﬁeld 26. III. MEMORY TERMS FOR RANDOM INITIAL CONDITIONS Let us consider a process Xt, starting at t 0 from Xt 0  = 0. Since s ii t 0  and m ii t , t 0 Eq. 18 vanish, Eq. 16 reduces to s ii t , t 0  = s ˜ ii t , t 0 , which is the dispersion of the random variable X ˜ i t = X i t. If one observes the same pro- cess from time   t 0 on, then the initial positions are random variables X i , outcome of the evolution of the process for t  . In these conditions, the dispersion of the total displace- ments X i t can be written according to Eq. 16 as s ˜ ii t, t 0  = s ˜ ii , t 0  + s ˜ ii t,  + m ii t,  , 19 where the terms s ˜ ii are dispersions given by Eq. 17 for X ˜ i equal to X i t, X i , and X i t - X i , respectively, and the memory term describes the correlation of the successive dis- placements, m ii t,  =2ŠX ˜ i  - X ˜ i  DX 0 X ˜ i t - X ˜ i  DX 0 t‹ DX 0 . 20 According to Eq. 19, cancellation of memory terms m ii t ,  is equivalent to additivity of the dispersion s ˜ ii with respect to nonoverlapping time intervals, s ˜ ii t , t 0  = s ˜ ii  , t 0  + s ˜ ii t , . In particular, if the dispersion of the particle dis- placements is a linear function of time, then the memory terms necessarily vanish. This is obviously the case of the Wiener process starting at 0,0, for which the memory term Eq. 20 vanishes because the increments of the process are independent, W i  - W i 0W i t - W i  D =0. A. Discrete diffusion processes with ﬁnite memory The following example illustrates the case of processes with ﬁnite memory which after a transient time reaches a diffusive regime characterized by linearity of the dispersion with respect to time. The trajectory of the Wiener process can be simulated numerically by summing up Gaussian random variables, Z = Z n , n =0,  1,  2,..., of mean zero and unit variance. This is the particular case  = 1 of the more general algo- PERSISTENT MEMORY OF DIFFUSING PARTICLES PHYSICAL REVIEW E 80, 061134 2009 061134-3

rithm for autoregressive processes of order 1 generated by the recursive relation X n = X n-1 + Z n . For 0    1, the dis- crete process X = X n  is stationary, with mean zero, constant variance s X =1 / 1-  2 , and autocovariance X n X n+r  = s X  r . Finite sequences are also stationary, with mean zero and with the same covariance, if the ﬁrst term X 0 is chosen as a ran- dom variable with the same variance s X as the inﬁnite autore- gressive processes 27. Summing up realizations of X n is a simple way to obtain diffusion processes with memory. The process Y n , n  0 starting from Y 0 = 0 generated by Y n = Y n-1 + X n =  s=1 n X s has the expectation Y n  = 0 and, because X n  is stationary, the variance s Y n = Y n 2  can be expressed by a discrete Taylor- Kubo relation, s Y n =  s=1 n X s 2  +2  r=1 n-1  s=1 n-r X s X s+r  = ns X +2s X  r=1 n-1 n - r r . 21 Einstein formula gives a ﬁnite diffusion coefﬁcient 28, D = lim n→ s Y n 2n = s X 2  1+2  1-   . 22 The discrete form of Eq. 19 is s ˜ Y n = s ˜ Y l + s ˜ Y n,l + m Y n,l , where s ˜ Y n = s Y n whereas s ˜ Y l and s ˜ Y n,l are expressed analogous to Eq. 21 after replacing the upper summation limit by l and the lower limit by l +1, respectively. It is ready to check that, for ﬁxed l, lim n→ s ˜ Y l + s ˜ Y n,l  / 2n = D; that is, the memory term m Y n,l has no contribution to the diffusion coef- ﬁcient Eq. 22. This can also be checked directly by com- puting the memory term m Y n,l =2Y l - Y 0 Y n - Y l  =2ls X  r=l n-1  r =2ls X 1-  n-l 1-   l . 23 Since the limit n →  of Eq. 23 is a constant, 2ls X  l / 1- , the term m Y n,l / 2n has no contribution to D. More- over, the limit n, l → , n  l of Eq. 23 vanishes, hence the increments of the diffusion process with memory Y n , n  0 become independent in the long-time limit. B. Diffusion in random velocity ﬁelds If the velocity is a realization of a random space function, a key issue is whether the average over the ensemble of velocity realizations of the diffusion process described by Eqs. 2 and 14 behaves diffusively at some large time scale 19,22,29. The relevant variance is now ŠX i - X i  DX 0 V  2 ‹ DX 0 V , which, as follows from Eq. B1, is the second, central, spatial moment of the ensemble average concentration cx , t V = x - Xt DX 0 V . Here and in the following, angular brackets with subscript V denote en- semble averages. The identity Eq. 19 can be used in investigations on the second moment of the mean concentra- tion when averages  ¯  DX 0 are replaced by  ¯  DX 0 V . Fur- ther, let us consider the Itô process, X i t = X i  +   t V i Xtdt + W i t -  , 24 with the same coefﬁcients and with initial position given by the solution X i  of the Eq. 14 at the moment . Assuming that the Itô equation has unique solutions, from Eqs. 14 and 24 one obtains the following explicit dependence of the memory term Eq. 20 on the Lagrangian correlation func- tion C L : m ii t,  =2   t  0  C ii L t, tdtdt , 25 where C ii L t, t = V i Xt, tV i Xt, t DX 0 V - V i Xt, t DX 0 V V i Xt, t DX 0 V . 26 While the question whether the Lagrangian correlation in- herits properties of the Eulerian correlation of the random space function Vx has no simple answer and requires prov- ing speciﬁc limit theorems 19,22, some insight can how- ever be provided by formal asymptotic expansions 29. The simplest approach is that considering statistically homoge- neous velocity ﬁelds and ﬁrst-order approximations of the transport equations. For advection dominated transport prob- lems, a consistent ﬁrst-order approximation to the solutions of Itô equation Eq. 14 with initial condition Xt 0  = 0 is obtained by the ﬁrst iteration about the unperturbed solution X i 0 t =  i,1 Ut, where U is the constant mean of the velocity ﬁeld Vx V , assumed to be oriented along the one axis of the coordinate system: X i 1 t =  t 0 t V i Utdt + W i t - t 0  18,23,24. In this approximation the arguments of V i in Eq. 26 have to be replaced by Ut and Ut and the Lagrangian correlation will be C ii L t , t = C ii E Ut - t, where C ii E r = V i xV i x + r V - V i x V V i x + r V is the homogeneous Eulerian correlation. The ﬁrst-order approximation of the dispersion s ˜ ii t , t 0 , associated to the ensemble average con- centration, becomes s ˜ ii t, t 0  =2Dt +2  t 0 t dt  t 0 t C ii E Ut - tdt . 27 If the Eulerian ﬁeld has ﬁnite correlation lengths  ii =1 / C ii E 0C ii E rdr, then the ﬁrst-order approximation of the Lagrangian ﬁeld also has ﬁnite correlation times  ii / U 24. Heuristically, because the velocity ﬁeld has ﬁnite cor- relation scale, one assumes that the displacements over times larger than the correlation time will be uncorrelated and by the central limit theorem the process of diffusion in random ﬁelds behaves like a Gaussian diffusion e.g., the macrodis- persion model for transport of solutes in geological porous formations 30. Nevertheless, rigorous proofs of this state- ment are only obtained under stronger assumptions on the velocity ﬁeld 19,22. Following a common approach in physics literature 14,31, the behavior of the process at large distances can be SUCIU et al. PHYSICAL REVIEW E 80, 061134 2009 061134-4

described by considering white noise correlations C ii E =  ii r. Then, the memory term Eq. 25 can be com- puted exactly and yields m ii t ,  =0. Similarly, from Eq. 27 one obtains the linear dispersion s ˜ ii t , t 0  =2D +  ii / Ut - t 0 . Thus, for white noise correlations the memory terms vanish at all times, the displacement increments from Eq. 20 are uncorrelated, like in the case of a Gaussian diffu- sion, and the dispersion Eq. 19 is a linear-time function. In case of ﬁnite correlation lengths, as for instance the often used isotropic exponential C ii L = C ii E 0e -t-tU/ and Gaussian C ii L = C ii E 0e -t - t 2 U/ correlations, information on the asymptotic behavior can be obtained by considering the long-time limit of the time derivatives of the dispersion and memory terms. From Eq. 25 one obtains lim t→ d dt m ii t,  = 2 lim t→  0  C ii L t - tdt =0 because for t - tU  the Lagrangian correlation C L will be very close to zero. The derivative of the dispersion Eq. 27 instead approaches a ﬁnite limit and deﬁnes upscaled diffusion coefﬁcients D ii  = 1 2 lim t→ d dt s ˜ ii t, t 0  = D + lim t→  t 0 t C ii E Ut - tdt = D + C E 0 U . 28 Since, according to Eq. 28, the dispersion s ˜ ii has a long- time-linear behavior, Eq. 19 implies the cancellation of the memory terms m ii . It follows that for sufﬁciently fast decay of the Lagrangian correlations, the diffusing particles forget the memory and behave diffusively like Brownian particles. A special situation, for which no approximations are re- quired, is that of a system of particles undergoing diffusion in a stratiﬁed velocity ﬁeld. If the advective velocities of the particles have only longitudinal components which depend randomly on the transverse coordinate alone and a white noise correlation, then the Lagrangian correlation Eq. 26 can be computed exactly: C 11 L = C 11 E 0e t - t -1/2 / 2  D 14,31. Since the integral of C 11 L diverges, the longitudinal Lagrangian velocity has an inﬁnite correlation time and the decorrelation of the displacements from Eq. 20 cannot be expected. The longitudinal memory term computed from Eq. 25, m 11 t,  = 2C 11 E 0 3  D t - t 0  3/2 -  - t 0  3/2 - t -  3/2  , 29 expresses, according to Eq. 19, the nonlinearity of the dis- persion terms with a t 3/2 time behavior obtained explicitly by replacing C 11 L in Eq. 27, m 11 t ,  = s ˜ ii t , t 0  - s ˜ ii  , t 0  + s ˜ ii t , . The memory term Eq. 29 is nonvanishing at all times t   and tends to inﬁnity for t → . This shows that, according to Eq. 20, the particles undergoing diffusion in perfectly stratiﬁed velocity ﬁelds never forget the initial ran- dom position X 1 . Or equivalently, according to Eq. 25, the particles always remember the past Lagrangian velocity they had before the initial observation time . IV. MEMORY EFFECTS FOR DETERMINISTIC INITIAL CONDITIONS Now, we consider the memory terms Eq. 18 for initial positions X i t 0  that are no longer the outcome of the evolu- tion of the same process but arbitrary deterministic quanti- ties. Since in this case the correlation of increments in Eq. 18 cannot be expressed by correlations of the Lagrangian velocity, the issue was investigated through numerical ex- periments. Simulations of diffusion of large collections of particles in realizations of a random velocity ﬁeld were carried out with the global random walk GRW algorithm 32. Though equivalent with a superposition of many particle tracking procedures Euler schemes for the Itô equation Eq. 14, GRW is rather a cellular automaton: at given time step all the particles located at grid points are simultaneously advected with the local velocity and spread according to the random walk rule. This allows global simulations of diffusion for huge numbers of particles which render the statistical ﬂuc- tuations of the estimated expectations  ¯  DX 0 e.g., concen- tration moments smaller than the limit of double precision of the computing platform. For the simulations presented in the following this precision was ensured by using 10 10 par- ticles. We considered a hydrological problem of contaminant transport through an isotropic two-dimensional aquifer sys- tem, characterized by logarithmic-normal distributed hydrau- lic conductivity K with small variance  ln K 2 = 0.1 and expo- nentially decaying isotropic correlation with correlation length  = 1 m. Darcy velocity ﬁelds were approximated nu- merically by Gaussian ﬁelds 11,23. For ﬁxed mean ﬂow velocity U =1 m / d and isotropic local dispersion with con- stant coefﬁcient D =0.01 m 2 / d, the Péclet number got a typical value Pe= U / D = 100. Details on algorithm and nu- merical setup can be found in Ref. 33. A. Memory terms for ﬁxed velocity realizations To estimate memory terms Eq. 18 for a single realiza- tion we considered a number of 121 initial positions Xt 0  uniformly distributed in rectangular domains with dimen- sions L 1  L 2 . By releasing 10 10 particles from each initial position, we performed GRW simulations to compute the displacements along the trajectories of the diffusion pro- cesses starting from these positions. Finally, the correlations between displacements and initial positions from Eq. 18 were computed by averages over the initial positions Xt 0 . The results presented in Fig. 1 show that at early times the memory terms m ii increase with the dimension of the source in the i direction and are mainly signiﬁcant for asymmetric sources. The overall decay of m ii in all cases indicates that the averages u i Xt D of the ﬂuctuations of the Lagrangian velocity averaged over realizations of the diffusion process for ﬁxed initial positions X i t 0  become independent of X i t 0  see Eq. 15. This can be the case if u i Xt D tends to the PERSISTENT MEMORY OF DIFFUSING PARTICLES PHYSICAL REVIEW E 80, 061134 2009 061134-5

constant ensemble averages of the Eulerian ﬁeld. Although such self-averaging properties can only be proved in particu- lar cases e.g., 10, they are often found in numerical mod- eling of transport in random ﬁelds with ﬁnite correlation scales 11,25. In our case, the self-averaging is indicated by the decay in time of the ﬂuctuations of u i Xt D and the good agreement between the space-averaged Lagrangian ve- locity and the ensemble mean Eulerian velocity shown in Fig. 2. The two panels of Fig. 2 also show that the shape of the initial distribution longitudinal and transverse slabs of thickness  has little inﬂuence on the self-averaging behav- ior, provided that the support of the initial concentration ex- tends over at least one correlation length in all directions. Intriguingly, in the case of diffusion in perfectly stratiﬁed ﬂows with inﬁnite correlation range and inﬁnitely persistent memory of the random initial conditions, analyzed in Sec. III B, the dependence on deterministic initial conditions in- duces only transitory effects. The transverse dispersion is that of a memory-free Brownian motion with m 22 =0 and, because the longitudinal velocity does not depend on the longitudinal coordinates, m 11 Eq. 18 identically vanishes at all times. Equation 12 shows that the off-diagonal term m 21 , corresponding to the correlation between longitudinal velocities and transverse initial positions of particles, ŠX 2 t 0 u 1 X 2 t D ‹ DX 0 , is nonvanishing at ﬁnite times. How- ever, since u 1 has a ﬁnite correlation length in the transverse direction it has a self-averaging behavior similar to that in Fig. 1 and m 21 vanishes in the long-time limit. B. Persistent memory of the initial conditions When diffusion takes place in random environments, the ensemble averaged variance of the process and the second moment of the ensemble averaged concentration have differ- ent behaviors and describe different features of the physical process 14,15,34. Their difference is the variance of the center of mass, which is also strongly inﬂuenced by the ini- tial conditions of the transport problem 25,33. To account for the randomness of the center of mass, we deﬁne dispersion terms  ii = ŠX i - X i  DX 0 V  2 ‹ DX 0 , 30 r ii = X i  DX 0 - X i  DX 0 V  2 31 and we write the variance Eq. 16 in the equivalent form s ii =  ii - r ii . 32 For processes governed by the Fokker-Planck equation Eq. 2 and Itô equation Eq. 14, Eq. 32 is obtained by replacing in the variance Eq. 10 the center of mass for a single realization X i  DX 0 =  i t , t 0  =  i t 0  +  t 0 t V ¯ i tdt with its ensemble average  i t 0  +  t 0 t V ¯ j t V dt and by subtracting the correction Eq. 31. The latter is expressed by using Eq. 9 as -150 -100 -50 0 50 100 150 200 250 300 350 400 1 10 100 1000 m 11 / (2Dt) Ut / λ 100λ x λ 10λ x 10λ λ x 100λ -200 -150 -100 -50 0 50 100 150 200 1 10 100 1000 m 22 / (2Dt) Ut / λ 100λ x λ 10λ x 10λ λ x 100λ FIG. 1. Memory terms in longitudinal left and transverse right directions with respect to the mean ﬂow obtained from GRW simulations for a given velocity ﬁeld and for sources with different dimensions, shapes, and orientations. -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 10 100 1000 Ut / λ Longitudinal slab 100λ x λ 1+<u 1 > D /U <u 2 > D /U -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 10 100 1000 Ut / λ Transverse slab λ x 100λ 1+<u 1 > D /U <u 2 > D /U FIG. 2. Averages over 121 initial positions Xt 0 thick lines and standard deviations thin lines of the mean Lagrangian velocity u i Xt D for longitudinal and transverse slab sources. SUCIU et al. PHYSICAL REVIEW E 80, 061134 2009 061134-6

r ii t, t 0  =  t 0 t dt uˆ i x, tcx, tdx   t 0 t dt uˆ i x, tcx, tdx , where the velocity ﬂuctuation is now deﬁned with respect to the ensemble averaged velocity, uˆ i x , t = V i x , t - V ¯ i t V . Expression 10 can thus be rewritten in the equivalent form, s ii t, t 0  = s ii t 0  +2Dt - t 0  + s uˆ ,ii t, t 0  + m ii t, t 0  - r ii t, t 0  , 33 where the memory term m ii t , t 0  is given by Eq. 12 for i = j and the contribution of the velocity ﬂuctuations uˆ i has a form similar to Eq. 11, s uˆ ,ii t, t 0  =  t 0 t dt  t 0 t dt cx 0 , t 0 dx 0   uˆ i x, tuˆ i x, tgx, tx, t  gx, tx 0 , t 0 dxdx . 34 The ensemble average of the velocity correlation under the time integrals in Eq. 34 is the mean Lagrangian correlation Eq. 26 analyzed through ﬁrst-order approximations in Sec. III B. The ensemble average of Eq. 32 is a well known iden- tity 15,20,33,34 which relates the expected second moment S ii = s ii  V to the second moment of the mean concentration  ii =  ii  V and the variance of the center of mass R ii = r ii  V , S ii =  ii - R ii . 35 Assuming all necessary joint measurability conditions which allow permutations of averages 17 leads to  ii = s ii t 0  + X ii  X 0 + M ii + Q ii , 36 where X ii = ŠX ˜ i - X ˜ i  DV  2 ‹ DV is the one-particle dispersion deﬁned by averaging with respect to D and V for a ﬁxed initial position, M ii = m ii  V is the mean memory term, and Q ii = ŠX ˜ i  DV - X ˜ i  DX 0 V  2 ‹ X 0 is the spatial variance of the one- particle center of mass X ˜ i  DV computed by averages over initial positions35. The terms of Eq. 36 depend, via the trajectory Eq. 14, on the Lagrangian velocity ﬁeld. If the Lagrangian ﬁeld is statistically homogeneous the one-particle center of mass X ˜ i  DV and dispersion X ii are independent of X 0 17,24; hence they are memory-free quantities. Then M ii and Q ii vanish and Eq. 36 takes on the simpler form,  ii = s ii t 0  + X ii . 37 Assuming Lagrangian homogeneity leads, according to Eqs. 33 and 35, to  ii =  ii  V = s ii t 0  +2Dt - t 0  + s uˆ ,ii  V . Then, the upscaled diffusion coefﬁcients describing the behavior of the ensemble mean concentration, D ii  = lim t→ 1 2t  ii = 1 2 lim t→ d dt  ii , are the sum between the local coefﬁcient D and the long-time limit of the half derivative of the ensemble averages s uˆ ,ii  V of the velocity ﬂuctuation contributions Eq. 34. Their ﬁrst-order approximations Eq. 28 are related to the statistics of the hydraulic conductivity ﬁeld by D ii  = D +  1i  ln K 2 U , 38 which for the parameters of the numerical experiment pre- sented here take the values D 11  =0.11 m 2 / d and D 22  =0.01 m 2 / d 33. The dispersion terms Eqs. 30–32 were estimated from GRW simulations by using for every velocity realiza- tion 10 10 particles that were initially uniformly distributed in rectangular domains L 1  L 2  or released from the origin of the computational grid. For each initial condition, 1024 real- izations of the velocity ﬁeld were used to asses ensemble averages  ¯  V expectations and standard deviations of vari- ous concentration moments. Preliminary tests and compari- son with reference simulations using an algorithm free of overshooting errors 23 showed that the overall precision of this Monte Carlo approach was of the order of the local dispersion 2Dt at early times and smaller than Dt after simu- lation times of about 30 dimensionless times Ut / . Figure 3 shows that for large dimensions of the support of the initial concentration the source of particles S ii   ii . Hence, the variance of the center of mass R ii  0, a property which is quite insensitive to the shape and orientation of the source. This is a somewhat expected result because for trans- port in velocity ﬁelds with ﬁnite correlation range, which are ergodic 36, the center of mass for point sources X i  D is ergodic too, i.e., the space average approximates the en- semble average, X i  DX 0 X i  DV , and according to Eq. 31 R ii = r ii  DV  0. Another information provided by Fig. 3 is that for large slab sources transverse to the i direction, for which the memory terms Eq. 18 are small Fig. 1,  ii - s ii t 0  is independent of the source dimension. Therefore, we approxi- mated the memory-free one-particle dispersion X ii by using in Eq. 37 the second moment of the mean concentration  ii estimated from GRW simulations done for the largest slab source L = 100 oriented perpendicular to the i axis. Since it has been found that the term Q ii is much smaller than the local dispersion 2Dt 35, the irregular behavior at early times of  ii for different initial conditions can be attributed, according to Eq. 36, to the mean memory terms M ii =  ii - s ii t 0  - X ii . The mean memory terms are a consequence of the statis- tical inhomogeneity of the Lagrangian velocity ﬁeld, for which the ensemble average of Eq. 12 is nonvanishing. Such memory effects on the ensemble averaged dispersion can be tracked back to the lack of smoothness of the velocity samples of the random ﬁeld with exponential correlation used in simulations 24. The issue is somewhat similar to that of memory-induced oscillations of the diffusion coefﬁ- cient observed in the case of charged particles driven by a uniform magnetic ﬁeld and a stationary Gaussian stochastic force with exponential time correlation 8, as well as in the case of particles driven by an anticorrelated autoregressive noise 28. However, in the two latter examples the memory mechanism is no longer the dependence of the Lagrangian statistics on deterministic initial conditions but an intrinsic PERSISTENT MEMORY OF DIFFUSING PARTICLES PHYSICAL REVIEW E 80, 061134 2009 061134-7

interdependence of the increments of the process due to the colored noise 28. The smallness of the standard deviation SD ii  for large slab sources perpendicular to the i direction shown in Fig. 4 indicates that  ii - s ii t 0  also approximates X ii for such initial conditions. The large values of SD ii  for large slab sources parallel to the i direction are due, according to Eq. 33, to the large memory terms m ii which, as shown by Eq. 18, increase with the source dimension. We have seen that for large sources, irrespective of their shape and orientation, r ii  0. Thus, according to Eq. 32  ii  s ii and we can adopt the following estimation of the memory terms, m ii t - t 0  = s ii t - t 0  - s ii t 0  - X ii t - t 0  . 39 As seen in Fig. 3, the long-time limit of the effective diffusion coefﬁcients, deﬁned by the half slope of the mean dispersion S ii - s ii t 0  / 2t - t 0 , approaches the upscaled coefﬁcients Eq. 38. The relevance of the upscaled coefﬁ- cients for single realizations of the transport is an ergodicity issue. The overall trend of ﬂuctuations shown in Fig. 4 indi- cates that single-realization dispersion coefﬁcients are self- averaging. Together, the results from Figs. 3 and 4 indicate an ergodic behavior in the sense that the mean square dis- tance between single-realization and upscaled coefﬁcients decreases in time 33. Another ergodic behavior of interest in practical applica- tions is that with respect to the memory-free dispersion X ii , which is often available from estimations of the dispersion terms Eq. 34 for given correlations of the Eulerian veloc- 0 2 4 6 8 10 12 1 10 100 1000 [Σ 11 (t) - s 11 (0)] / (2Dt) Transverse slab λ xLλ 0 2 4 6 8 10 12 14 1 10 100 1000 Longitudinal slab Lλ x λ 0 2 4 6 8 10 12 1 10 100 1000 Square Lλ xLλ -0.5 0 0.5 1 1.5 2 1 10 100 1000 [Σ 22 (t) - s 22 (0)] / (2Dt) Ut / λ 1 1.2 1.4 1.6 1.8 2 2.2 1 10 100 1000 Ut / λ point L = 10 L = 100 1 1.2 1.4 1.6 1.8 2 2.2 1 10 100 1000 Ut / λ FIG. 3. Second moments of the ensemble average concentration  ii and ensemble averaged second moments S ii thin lines for different shapes and extensions of the source. 0.1 1 10 1 10 100 1000 SD[σ 11 (t)] / (2Dt) Transverse slab λ xLλ 0.1 1 10 100 1 10 100 1000 Longitudinal slab Lλ x λ 0.1 1 10 1 10 100 1000 Square Lλ xLλ point L = 10 L = 100 0.01 0.1 1 10 1 10 100 1000 SD[σ 22 (t)] / (2Dt) Ut / λ 0.01 0.1 1 1 10 100 1000 Ut / λ 0.01 0.1 1 10 1 10 100 1000 Ut / λ FIG. 4. Standard deviation of the second moment with respect to ensemble averaged center of mass  ii and standard deviation of the second moment of the actual center of mass s ii thin lines for different shapes and extensions of the source. SUCIU et al. PHYSICAL REVIEW E 80, 061134 2009 061134-8

ity ﬁeld 11,23. Using Eq. 39, we estimated the mean and the standard deviations of the largest memory terms m ii cor- responding to sources with the largest extension in the i di- rection. The results presented in Fig. 5 show that the mean memory terms are negligible small as compared to the stan- dard deviations. So, practically the mean square distance be- tween s ii and X ii is given by SDm ii . In Fig. 5 we also represented the memory terms for pure advective transport with Pe= , simulated by dropping the diffusion step in the GRW algorithm. It can be seen that the standard deviations are almost the same as in the case with Pe=100. According to Eq. 39, the extinction of the memory terms is equivalent to the self-averaging of the single-realization variance s ii and of the effective diffusion coefﬁcients. At ﬁnite times, memory effects manifest mainly through deviations of single-realization dispersion from the ideal model-behavior described by the memory-free dispersion X ii . Such effects strongly depend on the shape, the orientation, and the spatial extension of the source of particles. V. CONCLUSIONS We decomposed the variance of the transport processes in dispersion and memory terms and for continuous diffusion process we derived explicit relations between these terms and the coefﬁcients of the Fokker-Planck equation. Never- theless, this decomposition is a general property of the vari- ance and allows investigations on discrete processes as well. The memory terms govern the preasymptotic behavior of the transport process. We have shown that normal diffusion occurs only if the memory terms vanish. This happens when the diffusing particles forget their past itinerary. For diffusion in statistically homogeneous velocity ﬁelds with ﬁnite corre- lation lengths, we found that for ﬁnite correlation times of the Lagrangian velocity or convergent Kubo formula, the particles lose the memory in the long-time limit and normal diffusion occurs. We found a similar behavior for a discrete diffusion process with ﬁnite memory generated by autore- gressive noise. Memory terms also quantify the persistent inﬂuence of the deterministic initial conditions on the behavior of the trans- port process. Large deterministic initial distributions of the cloud of particles cause large memory terms which prevent the use of the one-particle dispersion as a model for the preasymptotic transport regime. Numerical simulations of diffusion in space random velocity ﬁelds with ﬁnite correla- tion range indicated the extinction of the memory terms after considerably large times, corresponding to hundreds of cor- relation scales, as well as the self-averaging behavior of the variance and its tendency toward normal diffusion. Thus, the issue of memory effects investigated in this pa- per can be partially answered: diffusing particles forget the memory of the deterministic initial position, as well as the memory of their past itinerary, when they evolve in time- independent random environments with ﬁnite spatial correla- tion scales. Indeﬁnitely persistent memory can be found, for instance, in case of diffusion in velocity ﬁelds with inﬁnite spatial correlation range. The behavior of the diffusion in time-variable environ- ments requires further investigations. For instance, it is known that a sufﬁciently fast decay of the time correlation functions ensures the convergence toward a normal diffusion even in absence of spatial decorrelation 16,19. However, for velocity ﬁelds with oscillating time correlations the con- dition of convergent Kubo formula, although a necessary condition for normal diffusion limit, may be far from being sufﬁcient 19. The challenge is to ﬁnd the meaning of the memory terms for anomalous diffusion in conditions of non- trivial interplay of temporal and spatial correlations. For continuous processes, analyses of memory effects via Lagrangian velocity correlations assume unique solutions of the Itô and Fokker-Planck equations. Nevertheless, the lack of smoothness of the velocity samples often precludes the existence of unique solutions. Moreover, as shown in Ref. 24, uniqueness is also an essential ingredient in proving the translation invariance of the ensemble average of the funda- mental solution of the Fokker-Planck equation and the equivalent property of statistical homogeneity of the La- grangian velocity ﬁeld. When these properties are not en- sured, as in case of our numerical setup, deterministic initial conditions induce memory effects on the effective diffusion coefﬁcients. Even though in such cases ﬁrst-order approxi- mations still capture the asymptotic behavior 24, numerical models have to be developed for the transitory regime. In this paper, memory effects were quantiﬁed in a straightforward way by correlations between the displace- ments of the particles and starting positions. In Ref. 37 it was shown that memory effects on diffusion coefﬁcients are described in more detail by a hierarchy of Lagrangian corre- -20 0 20 40 60 80 100 120 1 10 100 1000 SD(m 11 ) / (2Dt) Ut / λ 100λ x 100λ, Pe=100 100λ x λ, Pe = 100 100λ x λ, Pe = ∞ -5 0 5 10 15 20 25 1 10 100 1000 SD(m 22 ) / (2Dt) Ut / λ 100λ x 100λ, Pe=100 λ x 100λ, Pe = 100 λ x 100λ, Pe = ∞ FIG. 5. Standard deviations of longitudinal left and transverse right memory terms and the corresponding mean values thin lines. PERSISTENT MEMORY OF DIFFUSING PARTICLES PHYSICAL REVIEW E 80, 061134 2009 061134-9

lations, sampled on increasing paths on the set of trajectories starting at a given initial position. A particular case is the expansion of the diffusion coefﬁcients in sums of correla- tions of increments of the process sampled on a single tra- jectory 28,38. Such representations of the diffusion coefﬁ- cients, using double summations of correlations, suggest possible connections with the method of memory kernels 2,4,5 and motivate further work. ACKNOWLEDGMENTS The research reported in this paper was supported by Deutsche Forschungsgemeinschaft Grant No. SU 415/1-2, Jülich Supercomputing Centre Project No. JICG41, and Ro- manian Ministry of Education and Research Grant No. 2-CEx06-11-96. APPENDIX A: MEAN VALUE AND COVARIANCE COMPONENTS The coefﬁcients of the Fokker-Planck equation deﬁned in Eqs. 5 and 6 can be related under the conditions formu- lated in Eqs. 4, 7, and 8 to the time derivatives of the mean and covariance components. Therefore, to derive the general expressions of the mean and covariances, we ﬁrst compute their derivatives. The derivative of the ﬁrst moment can be computed as follows: d dt  i t = lim t→0 1 t  i t + t -  i t = lim t→0 1 t   x i cx, t + tdx -  x i cx, tdx  =   lim t→0 1 t  x i  - x i gx, t + tx, tdx  cx, tdx , where we used Eq. 3 and the normalization property of g. For t → 0, using Eqs. 4, 5, and 7 one obtains d dt  i t =  V i x, tcx, tdx = V ¯ i t . A1 By integrating Eq. A1 we get Eq. 9 in the main text. To compute the derivative of the variance we proceed like for the mean, s ij t + t - s ij t =  x i x j cx, t + tdx -  x i x j cx, tdx -  i t + t j t + t -  i t j t =  cx, tdx  x i  - x i x j  - x j gx, t + tx, tdx +  x i cx, tdx   x j  - x j gx, t + tx, tdx +  x j cx, tdx  x i  - x i gx, t + tx, tdx -  i t + t j t + t -  i t j t , and using Eqs. 4–8 for t → 0, we obtain the derivative d dt s ij t =2  D ij x, tcx, tdx +  x i V j x, t + x j V i x, tcx, tdx - d dt  i t j t , which after expressing the last term by Eq. A1 takes the form d dt s ij t =2  D ij x, tcx, tdx +  x i V j x, t - V ¯ j t + x j V i x, t - V ¯ i tcx, tdx . A2 Next, we highlight the dependence on the initial positions of the second term in Eq. A2 and obtain an equivalent expres- sion of the time derivative of s ij t, d dt s ij t =2  D ij x, tcx, tdx +  cx 0 , t 0 dx 0 x i - x 0i  V j x, t - V ¯ j t + x j - x 0 j V i x, t - V ¯ i tgx, tx 0 , t 0 dx +  cx 0 , t 0 dx 0   x 0i -  i t 0 V j x, t - V ¯ j t + x 0 j -  j t 0  V i x, t - V ¯ i tgx, tx 0 , t 0 dx . A3 To analyze the second term in Eq. A3, we consider a time sequence t 0  t 1 ¯  t k  t k+1 ¯  t n = t, t k+1 - t k = t, and the joint probabilities p of the sequence of events x 0 , t 0  ,..., x n-1 , t n-1  , x , t. The contribution of x i - x 0i V j x , t can be expressed using the Chapman- Kolmogorov equation and the consistency property of p that integrating over intermediate states one obtains reduced or- der joint probabilities as follows:  cx 0 , t 0 dx 0 x i - x 0i V j x, tgx, tx 0 , t 0 dx =  ...    k=0 n-1 x k+1,i - x k,i   V j x, t px, t ; x n-1 , t n-1 ;...; x 0 , t 0 dxdx n-1 ... dx 0 =  k=0 n-1  x k+1,i - x k,i V j x, t gx, tx k+1 , t k+1 gx k+1 , t k+1 x k , t k cx k , t k dxdx k+1 dx k =  k=0 n-1  cx k , t k dx k x k+1,i - x k,i  SUCIU et al. PHYSICAL REVIEW E 80, 061134 2009 061134-10

Vt, x k+1 gx k+1 , t k+1 x k , t k dx k+1 , A4 where Vt ; x k+1 , t k+1  = V j x , tgx , t  x k+1 , t k+1 dx. Because the velocity deﬁned by Eq. 5 is always ﬁnite, the function Vt ; x k+1 , t k+1  is bounded, i.e., there exists an M  0 so that Vt ; x k+1 , t k+1   M for all x k+1  R 3 and t k+1  R. By using Eq. 8 for i = j and the Cauchy-Schwarz in- equality in the form   x-x x i gx, t + tx, tdx  2   x-x x i 2 gx, t + tx, tdx   x-x gx, t + tx, tdx one obtains the condition lim t→0 1 t  x-x x i gx, t + tx, tdx = 0. A5 Computing the last integral in Eq. A4 as sum between the integral over the sphere of radius  and the integral outside the sphere, we have   x k+1 -x k  x k+1,i - x k,i  Vt ; x k+1 , t k+1 gx k+1 , t k+1 x k , t k dx k+1  M  x k+1 -x k  x k+1,i - x k,i  gx k+1 , t k + tx k , t k dx k+1 → t→0 0 A6 due to condition A5. Considering the negative and positive parts and applying the theorem of mean, the integral over the sphere of radius  can be computed as  x k+1 -x k  x k+1,i - x k,i Vt ; x k+1 , t k+1 gx k+1 , t k+1 x k , t k dx k+1 = Vt ; x k , t k+1   x k+1 -x k  x k+1,i - x k,i  gx k+1 , t k + tx k , t k dx k+1 + O 2  . A7 For t → 0, from Eq. 5 and Eqs. A4–A7 one obtains  cx 0 , t 0 dx 0 x i - x 0i V j x, tgx, tx 0 , t 0 dx =  cx 0 , t 0 dx 0 0 t dt V j x, tV i x, t  gx, tx, tgx, tx 0 , t 0 dxdx + O 2  . Finally, passing to the limit  → 0, we have  cx 0 , t 0 dx 0 x i - x 0i V j x, tgx, tx 0 , t 0 dx =  cx 0 , t 0 dx 0 0 t dt V j x, tV i x, t  gx, tx, tgx, tx 0 , t 0 dxdx . A8 Replacing in the second term of Eq. A3 the contribution Eq. A8 and the similar one obtained by permutation of the indices i and j one obtains Eq. 11 in the main text. APPENDIX B: LAGRANGIAN DESCRIPTION The expectation  f (Xt) =  f xcx , tdx of some func- tion with compact support f x can be written by using the Dirac  distribution as   f xx - Xtdx  =  f xx - Xtdx . Hence, the one-point probability density i.e., the normalized concentration can formally be written as cx , t = x - Xt, and the n-point joint densities as expectations of products of delta functions e.g., 39. Similarly, the transition probability density is the condi- tional expectation gx , t  x 0 , t 0  = x - Xt Xt 0  = x - Xt D , where by angular brackets with subscript D we denoted the conditional expectation for ﬁxed initial positions X0 of the particles. For the purpose of a transparent La- grangian description it is also convenient to use the subscript X 0 for averages with respect to initial positions. With these, the concentration Eq. 3 can be expressed as cx, t =  gx, tx 0 , t 0 cx 0 , t 0 dx 0 = x - Xt DX 0 . B1 In the same way, for higher order probability densities one obtains px n , t n ; x n-1 , t n-1 ;...; x 1 , t 1  =  px n , t n ; x n-1 , t n-1 ;...; x 1 , t 1 x 0 ,0cx 0 , t 0 dx 0 = x n - Xt n x n-1 - Xt n-1  ... x n - Xt n  DX 0 . B2 PERSISTENT MEMORY OF DIFFUSING PARTICLES PHYSICAL REVIEW E 80, 061134 2009 061134-11

1 C. W. Gardiner, Stochastic Methods: A Handbook for the Natural and Social Sciences Springer, Berlin, 2009. 2 R. Zwanzig, Phys. Rev. 124, 983 1961. 3 A. V. Mokshin, R. M. Yulmetyev, and P. Hänggi, Phys. Rev. Lett. 95, 200601 2005. 4 R. Balescu, Plasma Phys. Controlled Fusion 42, B1 2000. 5 R. Morgado, F. A. Oliveira, G. G. Batrouni, and A. Hansen, Phys. Rev. Lett. 89, 100601 2002. 6 F. Piazza and S. Lepri, Phys. Rev. B 79, 094306 2009. 7 M. A. Despósito and A. D. Viñales, Phys. Rev. E 77, 031123 2008. 8 F. N. C. Paraan, M. P. Solon, and J. P. Esguerra, Phys. Rev. E 77, 022101 2008. 9 A. J. Majda and P. R. Kramer, Phys. Rep. 314, 237 1999. 10 C. Aslangul, J.-Ph. Bouchaud, A. Georges, N. Pottier, and D. Saint-James, J. Stat. Phys. 55, 461 1989. 11 J. Eberhard, N. Suciu, and C. Vamoş, J. Phys. A: Math. Theor. 40, 597 2007. 12 J. L. Doob, Stochastic Processes Wiley, New York, 1990. 13 P. E. Kloeden and E. Platen, Numerical Solutions of Stochastic Differential Equations Springer, Berlin, 1999. 14 J.-P. Bouchaud, A. Georges, J. Koplik, A. Provata, and S. Red- ner, Phys. Rev. Lett. 64, 2503 1990. 15 J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 1990. 16 P. Castiglione, J. Phys. A 33, 1975 2000. 17 C. L. Zirbel, Adv. Appl. Probab. 33, 810 2001. 18 N. Suciu, C. Vamoş, H.Vereecken, K. Sabelfeld, and P. Knab- ner, Revue d’Analyse Numérique et de Théorie de l’Approximation 37, 221 2008. 19 A. Fannjiang and T. Komorowski, Ann. Appl. Probab. 9, 591 1999. 20 P. K. Kitanidis, J. Hydrol. 102, 453 1988. 21 N. Suciu, C. Vamoş, H.Vereecken, K. Sabelfeld, and P. Knab- ner, Mathematics Department, Friedrich-Alexander University Erlangen-Nuremberg, Preprint No. 324, 2008, url: http:// www.am.uni-erlangen.de/en/prepreprints.2000.html 22 H. Kesten and G. C. Papanicolaou, Commun. Math. Phys. 65, 97 1979. 23 N. Suciu, C. Vamoş, and J. Eberhard, Water Resour. Res. 42, W11504 2006. 24 N. Suciu unpublished. 25 N. Suciu, C. Vamoş, H.Vereecken, K. Sabelfeld, and P. Knab- ner, Water Resour. Res. 44, W08501 2008. 26 G. Sposito and G. Dagan, Water Resour. Res. 30, 585 1994. 27 C. Vamoş, Ş. Şoltuz, and M. Crăciun, e-print arXiv:0709.2963. 28 N. Suciu and C. Vamoş, in Monte Carlo and Quasi–Monte Carlo Methods 2008, edited by P. L’Ecuyer and A. B. Owen Springer, Heidelberg, to be published. 29 C. L. Winter, C. M. Newman, and S. P. Neuman, SIAM J. Appl. Math. 44, 411 1984. 30 M. G. Trefry, F. P. Ruan, and D. McLaughlin, Water Resour. Res. 39, 1063 2003. 31 A. Compte and M. O. Cáceres, Phys. Rev. Lett. 81, 3140 1998. 32 C. Vamoş, N. Suciu, and H. Vereecken, J. Comput. Phys. 186, 527 2003. 33 N. Suciu, C. Vamoş, J. Vanderborght, H. Hardelauf, and H. Vereecken, Water Resour. Res. 42, W04409 2006. 34 P. Le Doussal and J. Machta, Phys. Rev. B 40, 9427 1989. 35 N. Suciu and C. Vamoş, Water Resour. Res. 43, W12601 2007. 36 A. M. Yaglom, Correlation Theory of Stationary and Related Random Functions, Basic Results Vol. I Springer, New York, 1987. 37 C. Vamoş, N. Suciu, H. Vereecken, J. Vanderborht, and O. Nitzsche, Forschungszentrum Jülich Report No. ICG- IV.00501, 2001 unpublished. 38 S. C. Ying, I. Vattulainen, J. Merikoski, T. Hjelt, and T. Ala- Nissila, Phys. Rev. B 58, 2170 1998. 39 N. G. van Kampen, Stochastic Processes in Physics and Chemistry North-Holland, Amsterdam, 1981. SUCIU et al. PHYSICAL REVIEW E 80, 061134 2009 061134-12

2009

Fourth-order p-Laplacian nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem

April 15, 2022

The role of matrices that are convergent to zero in the study of semilinear operator systems

April 15, 2022

Solving inverse problems via hemicontractive maps

July 19, 2020