Weakly periodic measure and phase transition: q-state p-adic Potts model on the Cayley tree of order k

In this paper, we investigate weakly periodic p -adic quasi Gibbs measures for the q -state Potts model on the Cayley tree of order k . Furthermore, we demonstrate that for all q ≥ 3 and k ≥ 2, there exist a prime number p and a parameter θ that guarantee the occurrence of a phase transition.

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