Distribution of shortest paths in percolation

We present a scaling Ansatz for the distribution function of the shortest 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 present evidence supporting the scaling Ansatz for the case of two-dimensional percolation.

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Year of publication:	1999
Authors:	Dokholyan, Nikolay V ; Buldyrev, Sergey V ; Havlin, Shlomo ; King, Peter R ; Lee, Youngki ; Stanley, H. Eugene
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 266.1999, 1, p. 55-61
Publisher:	Elsevier
Subject:	Scaling Ansatz \| Percolation \| Finite-size effect

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010664884