Fertile HC models with three states on a Cayley tree

DOI10.1007/s11232-008-0109-5zbMath1157.82312OpenAlexW2044441090MaRDI QIDQ1002637

Sh. A. Shoyusupov, Utkir A. Rozikov

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-008-0109-5

zbMATH Keywords

configurationCayley treeGibbs measurehard-core (HC) model

Mathematics Subject Classification ID

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, A \(p\)-adic hard-core model with three states on a Cayley tree, Unnamed Item, The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model, Weakly periodic Gibbs measures in the HC-model for a normal divisor of index four, Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a ``wand on the 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, \(p\)-adic Gibbs measures for the hard core model with three states on the Cayley tree, Exact solution of a generalized ANNNI model on a Cayley tree, Gibbs measures for the fertile three-state hard-core models on a Cayley tree, GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS, Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order \(k=3\)

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