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Random Walkers Cellular Automata for Diffusion Processes
Author(s) -
Vamoş Calin,
Suciu Nicolae,
Vereecken Harry,
Jaekel Uwe,
Schwarze Holger
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801455
Subject(s) - cellular automaton , diffusion , stochastic cellular automaton , scale (ratio) , statistical physics , computer science , space (punctuation) , random walk , mathematics , algorithm , statistics , physics , quantum mechanics , thermodynamics , operating system
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.