On Some p-adic Quasi-Gibbs Measures for the Three-State SOS Model with External Field on a Binary Tree

We consider a three-state solid-on-solid (SOS) model in the presence of nonzero external field on a Cayley tree. We find all the translation-invariant p-adic quasi Gibbs measures (TIpQGMs) of the model. Using the boundedness of these measures, we establish the occurrence of a phase transition.

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