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

R. M. KhakimovInstitute of Mathematics, 9, University Street, Tashkent 100174, UzbekistanM. T. MakhammadalievInstitute of Mathematics, 9, University Street, Tashkent 100174, UzbekistanF. H. HaydarovInstitute of Mathematics, 9, University Street, Tashkent 100174, Uzbekistan

Infinite Dimensional Analysis Quantum Probability and Related Topicsjournal2023en

Ochiq kirishYashil

Litsenziya: cc-by

ABI

Annotatsiya

In this paper, we consider a Hard-Core (HC) model with two spin values on Cayley trees. The conception of alternative Gibbs measure is introduced and translational invariance conditions for alternative Gibbs measures are found. Also, we show that the existence of alternative Gibbs measures which are not translation-invariant. In addition, we study free energy of the model.

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Mavzular

Theoretical and Computational Physics Markov Chains and Monte Carlo Methods Stochastic processes and statistical mechanics

Identifikatorlar

DOI: 10.1142/s0219025723500248

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