Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree: Weakly periodic p-adic quasi-Gibbs measures for the Potts

In the present paper, we study the weakly periodic p -adic quasi-Gibbs measures for the three-state Potts model on a Cayley tree of order two. Under some conditions, we show there exist 14 weakly periodic (non-periodic) p -adic quasi-Gibbs measures. Moreover, if p = 3 then there are six weakly periodic p -adic Gibbs measures for this model. We also prove that if p ≠ 3 then a phase transition occurs for the Potts model on a Cayley tree of order two.