Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree

DOI10.1007/s11232-015-0299-6zbMath1327.82016OpenAlexW1633790346MaRDI QIDQ499420

R. M. Khakimov

Publication date: 30 September 2015

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0299-6

zbMATH Keywords

configurationCayley treeGibbs measuretranslation-invariant measurehard core model

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Gibbs measures for fertile hard-core models on the Cayley tree, Weakly periodic Gibbs measures for HC-models on Cayley trees, Extremality of Gibbs measures for the \(HC\)-Blume-Capel model on the Cayley tree, Unnamed Item, Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a ``wand on the Cayley tree, Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model, Gibbs measures for the fertile three-state hard-core models on a Cayley tree, Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order \(k=3\)

Cites Work

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• Graph homomorphisms and phase transitions
• The Potts model with countable set of spin values on a Cayley tree
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• Gibbs States on Countable Sets
• A Three State Hard-Core Model on a Cayley Tree