New class of Gibbs measures for two-state hard-core model on a Cayley tree

DOI10.1142/s0219025723500248arXiv2306.03429MaRDI QIDQ6187611

M. T. Makhammadaliev, Farhod Halimjonovich Haydarov, R. M. Khakimov

Publication date: 15 January 2024

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.03429

zbMATH Keywords

free energyconfigurationCayley treeGibbs measurehard-core modeltranslation-invariant measurealternating Gibbs measure

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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