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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Cite this paper as

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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