Scaling of the distribution of shortest paths in percolation

Details Scaling of the distribution of shortest paths in percolation Scaling of the distribution of shortest paths in percolation

1999-08-29

arxiv.org/abs/cond-mat/9908435v1

J. Stat. Phys., 93: 603--613 (1998)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

We present a scaling hypothesis for the distribution function of the shortest
paths connecting any two points on a percolating cluster which accounts for
{\it (i)} the effect of the finite size of the system, and {\it (ii)} the
dependence of this distribution on the site occupancy probability $p$. We test
the hypothesis for the case of two-dimensional percolation.

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