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.
GANIKHODJAEV, NASIR; AKIN, HASAN; and TEMİR, SEYİT (2007) "Potts Model with two Competing Binary Interactions," Turkish Journal of Mathematics: Vol. 31: No. 3, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol31/iss3/1