Maqola

Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

Р. М. ХакимовNamangan Department, Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Namangan, UzbekistanM. T. MakhammadalievNamangan State University, Namangam, Uzbekistan

Theoretical and Mathematical Physicsjournal2020en

ABI

Annotatsiya

We study a “hard-core” model on a Cayley tree. In the case of a normal divisor of index 4, we show the uniqueness of weakly periodic Gibbs measures under certain conditions on the parameters. Moreover, we prove that there exist weakly periodic (nonperiodic) Gibbs measures different from those previously known.

Mavzular

Theoretical and Computational Physics Stochastic processes and statistical mechanics Mathematical Dynamics and Fractals

Identifikatorlar

DOI: 10.1134/s0040577920080073

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