Journal of Statistical Physics

, Volume 44, Issue 5–6, pp 713–728

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

  • George E. Andrews
  • R. J. Baxter


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.

Key words

Statistical mechanics lattice statistics number theory hard hexagon model Rogers-Ramanujan identities 


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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • George E. Andrews
    • 1
  • R. J. Baxter
    • 2
  1. 1.Department of Mathematics, McAllister BuildingPennsylvania State UniversityUniversity ParkUSA
  2. 2.Research School of Physical SciencesThe Australian National UniversityCanberraAustralia

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