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Lattice gas generalization of the hard hexagon model. II. The local densities as elliptic functions |
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| Authors: | George E Andrews R J Baxter |
| Institution: | (1) Department of Mathematics, McAllister Building, Pennsylvania State University, 16802 University Park, Pennsylvania, USA;(2) Research School of Physical Sciences, The Australian National University, G.P.O. Box 4, 2601 Canberra, Australia |
| 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. |
| Keywords: | Statistical mechanics lattice statistics number theory hard hexagon model Rogers-Ramanujan identities |
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