Analyticity of a hard-core multicomponent lattice gas

L. K. Runnels, J. L. Lebowitz

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2 Scopus citations


A multicomponent "anti-Widom-Rowlinson" lattice gas is introduced. An arbitrary number M of particle types is permitted, all having the same activity. The only interactions are nearest-neighbor exclusions of like particles (analogous to map-coloring problems). For any lattice it is shown that there is a finite number M0 (depending only on the coordination number of the lattice) such that for all M≥M0 the infinite volume correlation functions exist and are analytic functions of the activity, for all positive values of the common activity.

Original languageEnglish (US)
Pages (from-to)525-533
Number of pages9
JournalJournal of Statistical Physics
Issue number6
StatePublished - Jun 1976
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Lattice gas
  • Möbius functions
  • map colorings
  • phase transition


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