Journals / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 3

Potts Model with two Competing Binary Interactions

Pages
229–238
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.

Özet

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