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Spin models and cluster distributions for bond and site percolation models

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51 Scopus citations

Abstract

The bond and site percolation models are formulated as the limit of spin models and spin Hamiltonians are obtained for these models. The order parameters in each case provide generating functions for the site and bond distributions in the clusters. The form of the site-bond distribution is discussed and shown to be extremely narrow near pc. Critical exponents are obtained near one dimension and shown to be the same for the two models. © 1977 The American Physical Society.
Original languageEnglish
Pages (from-to)4971-4977
Number of pages7
JournalPhysical Review B
Volume16
Issue number11
DOIs
StatePublished - Jan 1 1977
Externally publishedYes

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