On the upper limit of percolation threshold in square lattice

2002/04/02 by Yu. P. Virchenko, Yu. A. Tolmacheva
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.PR #msc:82B43 #msc:60K35

paper · pdf

published as Functional Materials NAS of Ukraine, 2001, Vol.8, #4, pp. 600-603 · PDF file, 3 pages, 1 figure

arxiv created 2002/04/02 · arxiv updated 2009/11/30

Abstract

The problem of percolation along sites of square lattice is studied. The number of contours being external boundaries for finite clusters has been estimated using geometric considerations. This estimation makes it possible to determine more precisely the upper limit for the percolation threshold.

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