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Percolation as the zero-temperature limit of the dilute Ising model

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9 Scopus citations

Abstract

It is shown that, by taking the zero-temperature limit of the annealed dilute bond Ising model, approximate expressions for quantities of interest in the percolation problem can be obtained. These are compared with computer simulations for a square lattice and shown to be reasonable over the entire concentration range whilst giving incorrect critical exponents.

Original languageEnglish
Article number028
Pages (from-to)1835-1841
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume12
Issue number10
DOIs
StatePublished - 1979
Externally publishedYes

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