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Turkish Journal of Mathematics

DOI

-

Abstract

The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered. We exactly solve a problem of phase transitions for the model,namely we calculate critical surface such that there is a phase transition above it,and a single Gibbs state found elsewhere.

Keywords

Potts model, competing interactions, Gibbs measure

First Page

229

Last Page

238

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