Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

DOI10.1134/S004057791611009XzbMath1362.82010arXiv1602.06840MaRDI QIDQ520984

R. M. Khakimov, Farhod Halimjonovich Haydarov

Publication date: 6 April 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06840

zbMATH Keywords

configurationCayley treeGibbs measurePotts modeltranslation-invariant measureperiodic measure

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Statistical thermodynamics (82B30)

Related Items (8)

Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree ⋮ Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree ⋮ 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 ⋮ New class of Gibbs measures for two-state hard-core model on a Cayley tree ⋮ Gibbs measures of the Blume-Emery-Griffiths model on the Cayley tree ⋮ Translation invariance of the periodic Gibbs measures for the Potts model on the Cayley tree ⋮ Gibbs measures of Potts model on Cayley trees: A survey and applications

Cites Work

• Unnamed Item
• The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model
• Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
• Gibbs measures and phase transitions
• The Potts model with countable set of spin values on a Cayley tree
• Gibbs Measures on Cayley Trees
• Gibbs States on Countable Sets

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