Journal of Statistical Physics

, Volume 14, Issue 6, pp 525–533 | Cite as

Analyticity of a hard-core multicomponent lattice gas

  • L. K. Runnels
  • J. L. Lebowitz
Articles
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Abstract

A multicomponent “anti-Widom-Rowlinson” lattice gas is introduced. An arbitrary numberM of particle types is permitted, all having the same activity. The only interactions are nearest-neighbor exclusions oflike particles (analogous to map-coloring problems). For any lattice it is shown that there is a finite numberM0 (depending only on the coordination number of the lattice) such that for allM≥M0 the infinite volume correlation functions exist and are analytic functions of the activity, for all positive values of the common activity.

Key words

Lattice gas map colorings Möbius functions phase transition 
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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • L. K. Runnels
    • 1
  • J. L. Lebowitz
    • 2
  1. 1.Department of ChemistryLouisiana State UniversityBaton Rouge
  2. 2.Belfer Graduate School of ScienceYeshiva UniversityNew York

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