TY - GEN
T1 - Lattice gas automata simulation of 2D site-percolation diffusion
T2 - 8th International Conference on Cellular Automata for Research and Industry, ACRI 2008
AU - Ghaemi, Mehrdad
AU - Rezaei-Ghaleh, Nasrollah
AU - Asgari, Yazdan
PY - 2008/10/7
Y1 - 2008/10/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=53049107588&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-79992-4_35
DO - 10.1007/978-3-540-79992-4_35
M3 - Conference contribution
AN - SCOPUS:53049107588
SN - 3540799915
SN - 9783540799917
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 274
EP - 281
BT - Cellular Automata - 8th International Conference on Cellular Automata for Research and Industry, ACRI 2008, Proceedings
Y2 - 23 September 2008 through 26 September 2008
ER -