Lattice gas generalization of the hard hexagon model. III. q-Trinomial coefficients

George E. Andrews, R. J. Baxter

Research output: Contribution to journalArticle

53 Scopus citations

Abstract

In the first two papers in this series 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, and we described the local densities in terms of elliptic theta functions. Here we present the mathematical theory behind our derivation of the local densities. Our work centers on q-analogs of trinomial coefficients.

Original languageEnglish (US)
Pages (from-to)297-330
Number of pages34
JournalJournal of Statistical Physics
Volume47
Issue number3-4
DOIs
StatePublished - May 1 1987

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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