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

DOI10.1007/BF01011904zbMath0638.10008OpenAlexW2022991310MaRDI QIDQ1099204

George E. Andrews, Rodney Baxter

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01011904

zbMATH Keywords

elliptic functionsRogers-Ramanujan identitieslocal densitiesGordon's generalized identitieshard hexagon model

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 (4)

The emerging role of number theory in exactly solvable models in lattice statistical mechanics ⋮ Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients ⋮ Knots, links, braids and exactly solvable models in statistical mechanics ⋮ Exactly solvable SOS models. Local height probabilities and theta function identities

Cites Work

• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Lattice gas generalization of the hard hexagon model. I: Star-triangle relation and local densities
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
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