Distribution of shortest paths in percolation

Authors
Dokholyan, NV Buldyrev, SV Havlin, S King, PR Lee, Y Stanley, HE
Citation
Nv. Dokholyan et al., Distribution of shortest paths in percolation, PHYSICA A, 266(1-4), 1999, pp. 55-61
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
266
Issue
1-4
Year of publication
1999
Pages
55 - 61
Database
ISI
SICI code
0378-4371(19990415)266:1-4<55:DOSPIP>2.0.ZU;2-S
Abstract
We present a scaling Ansatz for the distribution function of the shortest p aths connecting any two points on a percolating cluster which accounts for (i) the effect of the finite size of the system, and (ii) the dependence of this distribution on the site occupancy probability p. We present evidence supporting the scaling Ansatz for the case of two-dimensional percolation. (C) 1999 Elsevier Science B.V. All rights reserved.