Gibbs measures of Potts model on Cayley trees: A survey and applications

DOI10.1142/S0129055X21300077zbMath1478.82004arXiv2103.07391OpenAlexW3170999464MaRDI QIDQ5024393

Utkir A. Rozikov

Publication date: 31 January 2022

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07391

zbMATH Keywords

temperatureconfigurationCayley treeGibbs measurePotts model

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree, Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite \(\Delta \)-regular tree for large \(\Delta \), Stationary solutions and local equations for interacting diffusions on regular trees, On $(k_0)$-translation-invariant and $(k_0)$-periodic Gibbs measures for Potts model on Cayley tree, Potts model on a Cayley tree: a new class of Gibbs measures, Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

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