The dilute random-bond Potts model

B. W. Southern, Michael Thorpe

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Some of the properties of the bond diluted s-state Potts model are examined in this paper, and in particular the phase boundary. It is shown that as s to 1, the model is simply related to the bond percolation problem. By extending the replica arguments of Domany (1978) (which are probably exact), it is shown that near p, the phase boundary behaves as exp(-sK)=(ln s)/(s-1)(p-pc/pc) for all 2-D lattices. The authors also construct a coherent potential approximation that is exact for all lattices as s to 1, and for arbitrary s on Bethe lattices.

Original languageEnglish (US)
Article number007
Pages (from-to)5351-5360
Number of pages10
JournalJournal of Physics C: Solid State Physics
Volume12
Issue number24
DOIs
StatePublished - 1979
Externally publishedYes

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Potts model
Phase boundaries
replicas
approximation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

The dilute random-bond Potts model. / Southern, B. W.; Thorpe, Michael.

In: Journal of Physics C: Solid State Physics, Vol. 12, No. 24, 007, 1979, p. 5351-5360.

Research output: Contribution to journalArticle

Southern, B. W. ; Thorpe, Michael. / The dilute random-bond Potts model. In: Journal of Physics C: Solid State Physics. 1979 ; Vol. 12, No. 24. pp. 5351-5360.
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