Anomalous diffusion on percolating clusters

Štefan Barta

Physica A: Statistical Mechanics and its Applications, 1994, vol. 203, issue 2, 163-174

Abstract: The generalized diffusion equation, which describes a random walk equally on Euclidean lattices or on the percolating clusters with constant or with a power-law distribution of waiting times, is derived in the paper. It will be shown that anomalous diffusion on both random and regular fractals can be described by the parameter u. The solution of the generalized diffusion equation is in agreement with the computer simulations.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:203:y:1994:i:2:p:163-174

DOI: 10.1016/0378-4371(94)90150-3

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