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

George E. Andrews; R. J. Baxter

doi:10.1007/BF01007513

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

George E. Andrews, R. J. Baxter

Mathematics

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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 language	English (US)
Pages (from-to)	297-330
Number of pages	34
Journal	Journal of Statistical Physics
Volume	47
Issue number	3-4
DOIs	https://doi.org/10.1007/BF01007513
State	Published - May 1987

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01007513

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title = "Lattice gas generalization of the hard hexagon model. III. q-Trinomial coefficients",

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.",

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AU - Baxter, R. J.

PY - 1987/5

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N2 - 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.

AB - 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.

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U2 - 10.1007/BF01007513

DO - 10.1007/BF01007513

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AN - SCOPUS:0001177444

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SP - 297

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

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

Abstract

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