Scaling of the distribution of shortest paths in percolation
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nn
keywords
distributionhypothesispathspercolationscalingshortestaccountscase
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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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