, Volume 44, Issue 5-6, pp 713-728

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

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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.

Supported in part by the National Science Foundation Grant MCS 8201733.