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

George E. Andrews; R. J. Baxter

doi:10.1007/BF01011904

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

George E. Andrews
, R. J. Baxter

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	713-728
Number of pages	16
Journal	Journal of Statistical Physics
Volume	44
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01011904
State	Published - Sep 1986

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01011904

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

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.",

author = "Andrews, \{George E.\} and Baxter, \{R. J.\}",

year = "1986",

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volume = "44",

pages = "713--728",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

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T1 - Lattice gas generalization of the hard hexagon model. II. The local densities as elliptic functions

AU - Andrews, George E.

AU - Baxter, R. J.

PY - 1986/9

Y1 - 1986/9

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/34250129471

UR - https://www.scopus.com/pages/publications/34250129471#tab=citedBy

U2 - 10.1007/BF01011904

DO - 10.1007/BF01011904

M3 - Article

AN - SCOPUS:34250129471

SN - 0022-4715

VL - 44

SP - 713

EP - 728

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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