The dilute random-bond Potts model

B. W. Southern, M. F. Thorpe

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27 Scopus citations


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
Issue number24
StatePublished - Dec 1 1979

ASJC Scopus subject areas

  • Condensed Matter Physics
  • General Engineering
  • General Physics and Astronomy


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