Cluster size distribution at criticality

D. C. Rapaport

doi:10.1007/bf01060089

Cluster size distribution at criticality

D. C. Rapaport

Department of Physics - at Bar-Ilan University

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

20 Scopus citations

Abstract

Monte Carlo studies of the cluster size distribution for the site percolation problem on the triangular lattice are extended to lattices with up to 4 × 10¹¹ sites. Agreement with the predictions of scaling theory at p_c is excellent over a range of cluster sizes spanning five orders of magnitude.

Original language	English
Pages (from-to)	679-682
Number of pages	4
Journal	Journal of Statistical Physics
Volume	66
Issue number	1-2
DOIs	https://doi.org/10.1007/bf01060089
State	Published - Jan 1992

Keywords

Percolation
cluster properties
scaling theory

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10.1007/bf01060089

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title = "Cluster size distribution at criticality",

abstract = "Monte Carlo studies of the cluster size distribution for the site percolation problem on the triangular lattice are extended to lattices with up to 4 {\texttimes} 1011 sites. Agreement with the predictions of scaling theory at pc is excellent over a range of cluster sizes spanning five orders of magnitude.",

keywords = "Percolation, cluster properties, scaling theory",

author = "Rapaport, \{D. C.\}",

year = "1992",

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KW - Percolation

KW - cluster properties

KW - scaling theory

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Cluster size distribution at criticality

Abstract

Keywords

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