Lattice gas generalization of the hard hexagon model. I: Star-triangle relation and local densities

DOI10.1007/BF01010916zbMath0638.10007MaRDI QIDQ1099203

Rodney Baxter, George E. Andrews

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Rogers-Ramanujan identitieslattice gaslocal densitystar-triangle relationelliptic \(\theta \)-function-type productsGordon's relationssolvable hard hexagon modelYang-Baxter relation

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Holomorphic modular forms of integral weight (11F11) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (6)

The emerging role of number theory in exactly solvable models in lattice statistical mechanics ⋮ Lattice gas generalization of the hard hexagon model. II: The local densities as elliptic functions ⋮ Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients ⋮ Solvable lattice models related to the vector representation of classical simple Lie algebras ⋮ Knots, links, braids and exactly solvable models in statistical mechanics ⋮ The \(A_ n^{(1)}\) face models

Cites Work

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• Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• A Combinatorial Generalization of the Rogers-Ramanujan Identities

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