On set of p-adic Gibbs measures for the countable state 1D SOS model
Otabek Khakimov,
Farrukh Mukhamedov
Abstract:Previous studies mainly focused on the p-adic Potts model with countable spin values, demonstrating that this model has only one p-adic Gibbs measure. Furthermore, it was shown that the model exhibits a phase transition in the set of generalized Gibbs measures. A challenge remained to find a countable spin p-adic model where the set of all p-adic Gibbs measures would include at least two elements. In this paper, we have examined the one-dimensional p-adic SOS model and demonstrated that the set of all p-adic G… Show more
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