Abstract
In this paper is studied ferromagnetic three states Potts model on a Cayley tree of order three and we give explicit formulas for translation-invariant Gibbs measures. Furthermore, we show that under some conditions on the parameter of the antiferromagnetic Potts model with q-states with zero external field on the Cayley tree of order $k>2$, there are exactly 2(2^q-1) periodic (non translation-invariant) Gibbs measures.
Full Text
Sign-in/Register to access full text options
Published version (Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have