Onq-component models on the Cayley tree: the general case

DOI10.1088/1742-5468/2006/10/P10006zbMath1456.82096arXivmath-ph/0608025OpenAlexW2071955911MaRDI QIDQ4968894

Golibjon Isroilovich Botirov, Utkir A. Rozikov

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608025

zbMATH Keywords

form factorssolvable lattice modelsrigorous results in statistical mechanics

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree ⋮ Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

Cites Work

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• A hard-core model on a Cayley tree: an example of a loss network
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II
• A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree
• On \(q\)-component models on Cayley tree: contour method
• On Pure Phases of the Ising Model on the Bethe Lattices
• On Ising's model of ferromagnetism

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