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

M. F. Thorpe

Research output: Contribution to journalArticlepeer-review

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 (US)
Article number028
Pages (from-to)1835-1841
Number of pages7
JournalJournal of Physics A: General Physics
Volume12
Issue number10
DOIs
StatePublished - Dec 1 1979

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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