Potts Model with two Competing Binary Interactions

Authors: NASIR GANIKHODJAEV, HASAN AKIN, SEYİT TEMİR

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

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