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Scaling of the distribution of shortest paths in percolation

Nikolay V. Dokholyan·Youngki Lee·Sergey V. Buldyrev·Shlomo Havlin·Peter R. King·H. Eugene Stanley
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Abstract

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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Nikolay V. Dokholyan, Youngki Lee, Sergey V. Buldyrev, Shlomo Havlin, Peter R. King, H. Eugene Stanley. 1999-08-29. Scaling of the distribution of shortest paths in percolation. https://doi.org/10.1023/b%3Ajoss.0000033244.13545.da

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