Abstract
We show that the process of diffusion in statistically homogeneous velocity fields with finite correlation range “remembers” the shape and the orientation of the source over hundreds of dimensionless times and behaves ergodically with respect to the one‐particle dispersion only asymptotically.
Authors
Nicolae Suciu
Friedrich-Alexander University of Erlangen-Nuremberg, Mathematics Department
Karl Sabelfeld
Weierstrass Institute for Applied Analysis and Stochastics
Institute of Computational Math. and Math. Geophysics, Siberian Branch Russian Acad.
Călin Vamoş
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Constantin Andronache
Boston College, 140 Commonwealth Avenue, Chestnut Hill, USA
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Cite this paper as:
N. Suciu, K. Sabelfeld, C. Vamoş, C. Andronache, Memory effects and ergodicity for diffusion in spatially correlated velocity fields, Proc. Appl. Math. Mech., 7 (2007), 2010015-2010016
doi: 10.1002/pamm.200700057
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