Random Walkers Cellular Automata for Diffusion Processes

Abstract

Smooth concentration fields and balance equations for systems of random walkers are obtained by using the coarsegrained space‐time averaging method from ]5[ and averages over the statistical ensemble. This yields a new cellular automaton numerical model for diffusion processes. The number of particles and the averaging space‐time scale needed to approximate the concentration, with a given precision, are obtained. Applications were made for systems with small concentrations and diffusion in random fields.

Authors

Calin Vamoş
“T. Popoviciu” Institute of Numerical Analysis, Romanian Academy

Nicolae Suciu
“T. Popoviciu” Institute of Numerical Analysis, Romanian Academy

Harry Vereecken
ZE, Forschungszentrum Julich ICG-4, D52425-Julich, Deutschland

Uwe Jaekel
ZE, Forschungszentrum Julich ICG-4, D52425-Julich, Deutschland

Holger Schwarze
ZE, Forschungszentrum Julich ICG-4, D52425-Julich, Deutschland

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C. Vamoş, N. Suciu, H. Vereecken, U. Jaekel, H. Schwarze (2000), Random walkers cellular automata for diffusion processes, ZAMM. Z. Angew. Math. Mech., 80, S367-68, doi: 10.1002/zamm.20000801455

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ZAMM. Z. Angew. Math. Mech.

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[1] Gao, J. B., Hwanq, S. K., Lm, J. M. : When Can Chaos Induce Noise?; Phys. Rev. Lett., 82(6) (1999), 1132-1135.

[2] Gaylord, R., Nishidate, K.: Modeling Nature: Cellular Automata and Computer Simulations with Mathematica; Springer, New York, 1996.

[3]  Kirkwood, J. G.: Selected Topics in Statistical Mechanics; Gordon and Breach, New York, 1967.

[4] Matheron, G., De Marsly, G.: Is “hamport in Porous Media Always Diffusive?; Water Resour. k., 16 (1980), 901-917.

[5] Schwarze, L, Jaekel; U., Vereecken, H., Estimation of Macrodispersion by Different Approximation Methods for Flow and ‘Ikansport in Randomly Heterogeneous Media; (1999), (to be published).

[6]  VAMOS, C., GEORGESCU, A., Suciu, N., Turcu, I.: Balance Equations for Physical Systems with Corpuscular Structure; Physica A 227 (1996), 81-92.

[7] 7 VAMOS, C., SUCIU, N., M.PECULEA: Numerical Modelling of the One-Dimensional Diffueion by Random Walkers; Rev. Springer, New York, 1996. Flow and ‘Ikansport in Randomly Heterogeneous Media; (1999), (to be published). Physica A 227 (1996), 81-92. Anal. NumC. ThCorie Approximation 26, 1-2 (1997), 237-247.

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