Lattice gas generalization of the hard hexagon model. II. The local densities as elliptic functions

George E. Andrews, R. J. Baxter

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

In a previous paper we considered an extension of the hard hexagon model to a solvable two-dimensional lattice gas with at most two particles per pair of adjacent sites. Here we use various mathematical identities (in particular Gordon's generalization of the Rogers-Ramanujan relations) to express the local densities in terms of elliptic functions. The critical behavior is then readily obtained.

Original languageEnglish (US)
Pages (from-to)713-728
Number of pages16
JournalJournal of Statistical Physics
Volume44
Issue number5-6
DOIs
StatePublished - Sep 1 1986

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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