Article

Free energies of the Potts model on a Cayley tree

U. A. RozikovInstitute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, UzbekistanM. M. RakhmatullaevInstitute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan

Theoretical and Mathematical Physicsjournal2017en

ABI

Abstract

For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.

Topics

Theoretical and Computational Physics Stochastic processes and statistical mechanics Opinion Dynamics and Social Influence

Identifiers

DOI: 10.1134/s0040577917010081

Citations and references

Cited by 9 11 references

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