On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree
Tóm tắt
In the present paper, we consider a p-adic Ising model on a Cayley tree of order three. The existence of
$$G_k^{(2)}$$
-periodic non-translation-invariant p-adic generalized Gibbs measures of this model is investigated. Moreover, the boundedness of such kinds of measures is established, which yields the occurrence of a phase transition.
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