Cluster Shape and Critical Exponents near Percolation Threshold
- 19 April 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 36 (16) , 921-924
- https://doi.org/10.1103/physrevlett.36.921
Abstract
The shape of the large, random clusters, occurring near percolation threshold , is shown to be such that the mean cluster boundary-to-bulk ratio gives . A Monte Carlo calculation yields that the cluster size distribution is proportional to a Gaussian in which is independent of concentration and narrows to a function as ; the asymptotic behavior gives and the critical exponents.
Keywords
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