Scaling of the distribution of shortest paths in percolation

Authors
Dokholyan, NV Lee, YK Buldyrev, SV Havlin, S King, PR Stanley, HE
Citation
Nv. Dokholyan et al., Scaling of the distribution of shortest paths in percolation, J STAT PHYS, 93(3-4), 1998, pp. 603-613
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
93
Issue
3-4
Year of publication
1998
Pages
603 - 613
Database
ISI
SICI code
0022-4715(199811)93:3-4<603:SOTDOS>2.0.ZU;2-G
Abstract
We present a scaling hypothesis for the distribution function of the shorte st paths 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 test the hypo thesis for the case of two-dimensional percolation.