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Analyticity of a hard-core multicomponent lattice gas

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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 numberM 0 (depending only on the coordination number of the lattice) such that for allM≥M 0 the infinite volume correlation functions exist and are analytic functions of the activity, for all positive values of the common activity.

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Authors and Affiliations

  1. Department of Chemistry, Louisiana State University, Baton Rouge, Louisiana

    L. K. Runnels

  2. Belfer Graduate School of Science, Yeshiva University, New York, New York

    J. L. Lebowitz

Authors
  1. L. K. Runnels
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  2. J. L. Lebowitz
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Additional information

Research supported in part by NSF Grant No. GP-33535X, AFOSR Grant No. 73-2430B, and NSF Grant No. MPS75-20638.

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Runnels, L.K., Lebowitz, J.L. Analyticity of a hard-core multicomponent lattice gas. J Stat Phys 14, 525–533 (1976). https://doi.org/10.1007/BF01012851

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  • DOI: https://doi.org/10.1007/BF01012851

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