The velocity autocorrelation function for a random walk on percolation clusters

Czesław Oleksy

Physica A: Statistical Mechanics and its Applications, 1994, vol. 205, issue 4, 487-496

Abstract: We apply the random Lorentz model to diffusion on percolation clusters on a square lattice. In this model a walker performs a random walk on cluster sites and can visit sites occupied by impurities which play the role of reflectors. The velocity autocorrelation function and the mean-square displacement of a random walker are calculated with high accuracy using a moment-propagation numerical technique. Exponents describing the decay of correlation function are calculated at the percolation threshold and above it.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:4:p:487-496

DOI: 10.1016/0378-4371(94)90215-1

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