Abstract
In the present paper, we consider an interaction of the nearest-neighbors and next nearest-neighbors for the mixed type p-adic λ-Ising model with spin values {−1, +1} on the Cayley tree of order two.We obtained the uniqueness and existence of the p-adic quasi Gibbs measures for the model. Thereafter, as a main result, we proved the occurrence of phase transition for the p-adic λ-Ising model on the Cayley tree of order two. To establish the results, we employed some properties of p-adic numbers. Therefore, our results are not valid in the real case.
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Dogan, M. Phase Transition of Mixed Type p-Adic λ-Ising Model on Cayley Tree. P-Adic Num Ultrametr Anal Appl 10, 276–286 (2018). https://doi.org/10.1134/S2070046618040040
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DOI: https://doi.org/10.1134/S2070046618040040