Probability densities for the displacement of random walks on percolation clusters
- 21 August 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (12) , L719-L722
- https://doi.org/10.1088/0305-4470/18/12/006
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.Keywords
This publication has 14 references indexed in Scilit:
- Diffusion on treelike clustersPhysical Review B, 1985
- The chemical distance distribution in percolation clustersJournal of Physics A: General Physics, 1985
- Probability density for diffusion on fractalsPhysical Review B, 1984
- Exact-enumeration approach to random walks on percolation clusters in two dimensionsPhysical Review B, 1984
- Topological properties of percolation clustersJournal of Physics A: General Physics, 1984
- Exact enumeration of random walks with trapsJournal of Physics A: General Physics, 1984
- Anomalous Diffusion on Percolating ClustersPhysical Review Letters, 1983
- Diffusion on percolation clusters at criticalityJournal of Physics A: General Physics, 1982
- Density of states on fractals : « fractons »Journal de Physique Lettres, 1982
- Critically branched chains and percolation clustersPhysics Letters A, 1980