Probability densities for the displacement of random walks on percolation clusters

S. Havlin; D. Movshovitz; B. Trus; G. H. Weiss

doi:10.1088/0305-4470/18/12/006

Probability densities for the displacement of random walks on percolation clusters

S. Havlin, D. Movshovitz, B. Trus, G. H. Weiss

Department of Physics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

55 Scopus citations

Abstract

The probability density of the displacement or end-to-end distance of a random walk on the incipient infinite percolation cluster in d=2 dimensions is studied by an exact enumeration method. The numerical data suggest specific forms for the probability density both in the chemical distance variable l and the geometric distance r.

Original language	English
Article number	006
Pages (from-to)	L719-L722
Journal	Journal of Physics A: Mathematical and General
Volume	18
Issue number	12
DOIs	https://doi.org/10.1088/0305-4470/18/12/006
State	Published - 1985

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Probability densities for the displacement of random walks on percolation clusters

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