Percolation cluster numbers

Joan Adler; Amnon Aharony

doi:10.1007/BF01016433

Percolation cluster numbers

Joan Adler^*, Amnon Aharony

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

It has recently been suggested that there may be an infinite number of independent exponents hidden in the tails of the probability distribution of average percolation cluster numbers. A simple approximation of non-Gaussian effects was used to deduce this result and we show that this approximation is questionable. Extensive simulations of the cluster distribution have been made and an interesting dependence of the cumulants on concentration and range of summation has been observed.

Original language	English
Pages (from-to)	509-517
Number of pages	9
Journal	Journal of Statistical Physics
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01016433
State	Published - Jul 1988

Keywords

Percolation
Potts model
clusters
critical exponents
phase transition
simulation

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10.1007/BF01016433

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abstract = "It has recently been suggested that there may be an infinite number of independent exponents hidden in the tails of the probability distribution of average percolation cluster numbers. A simple approximation of non-Gaussian effects was used to deduce this result and we show that this approximation is questionable. Extensive simulations of the cluster distribution have been made and an interesting dependence of the cumulants on concentration and range of summation has been observed.",

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KW - critical exponents

KW - phase transition

KW - simulation

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Percolation cluster numbers

Abstract

Keywords

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