Lattice gas automata simulation of 2D site-percolation diffusion: Configuration dependence of the theoretically expected crossover of diffusion regime

Mehrdad Ghaemi, Nasrollah Rezaei-Ghaleh, Yazdan Asgari

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Résumé

Theoretical analysis of random walk on percolation lattices has predicted that, at the occupied site concentrations of above the threshold value, a characteristic crossover between an initial sub-diffusion to a final classical diffusion behavior should occur. In this study, we have employed the lattice gas automata model to simulate random walk over a square 2D site-percolation lattice. Quite good result was obtained for the critical exponent of diffusion coefficient. The random walker was found to obey the anomalous sub-diffusion regime, with the exponent decreasing when the occupied site concentration decreases. The expected crossover between diffusion regimes was observed in a configuration-dependent manner, but the averaging over the ensemble of lattice configurations removed any manifestation of such crossovers. This may have been originated from the removal of short-scale inhomogeneities in percolation lattices occurring after ensemble averaging.

langue originaleAnglais
titreCellular Automata - 8th International Conference on Cellular Automata for Research and Industry, ACRI 2008, Proceedings
Pages274-281
Nombre de pages8
Les DOIs
étatPublié - 7 oct. 2008
Modification externeOui
Evénement8th International Conference on Cellular Automata for Research and Industry, ACRI 2008 - Yokohama, Japon
Durée: 23 sept. 200826 sept. 2008

Série de publications

NomLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5191 LNCS
ISSN (imprimé)0302-9743
ISSN (Electronique)1611-3349

Une conférence

Une conférence8th International Conference on Cellular Automata for Research and Industry, ACRI 2008
Pays/TerritoireJapon
La villeYokohama
période23/09/0826/09/08

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