Weakly periodic Gibbs measures for HC-models on Cayley trees

DOI10.1134/S0037446618010160zbMath1397.82016MaRDI QIDQ1642311

R. M. Khakimov

Publication date: 20 June 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

phase transitionCayley treeGibbs measurefertile graphweakly periodic measurehard core model

Mathematics Subject Classification ID

Trees (05C05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Extremality of Gibbs measures for the \(HC\)-Blume-Capel model on the Cayley tree, Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a ``wand on the Cayley tree, Gibbs periodic measures for a two-state HC-model on a Cayley tree, New class of Gibbs measures for two-state hard-core model on a Cayley tree, Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

Cites Work

• Unnamed Item
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• Gibbs measures for fertile hard-core models on the Cayley tree
• The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model
• Gibbs measures for the fertile three-state hard-core models on a Cayley tree
• Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree
• Countable state space Markov random fields and Markov chains on trees
• A hard-core model on a Cayley tree: an example of a loss network
• Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
• Fertile HC models with three states on a Cayley tree
• Gibbs measures and phase transitions
• Random surfaces with two-sided constraints: An application of the theory of dominant ground states
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• Graph homomorphisms and phase transitions
• Weakly periodic Gibbs measures in the HC-model for a normal divisor of index four
• Uniqueness of weakly periodic Gibbs measure for HC-models
• Gibbs Measures on Cayley Trees
• Gibbs States on Countable Sets
• A Three State Hard-Core Model on a Cayley Tree