Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899245 | Reports on Mathematical Physics | 2015 | 22 Pages |
Abstract
In the present paper, we consider the p-adic λ-model on the Cayley tree of order two. It is considered generalized p-adic quasi Gibbs measure depending on a parameter Ï â âp, for the λ-model. In the p-adic setting there are several kinds of phase transitions such as storing phase transition, phase transition in terms of the generalized p-adic quasi Gibbs measures. In the paper, we consider two regimes with respect to the parameter Ï. The existence of generalized p-adic Gibbs measures in both regimes is proved. We prove the existence of the phase transition for the p-adic λ model on the Cayley tree of order two in the first regime. It turns out that in the second regime, we are able to establish the strong phase transition for a class of λ-models on the same tree. To prove the main results, we employ the methods of p-adic analysis, and therefore, our results are not valid in the real setting.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Farrukh Mukhamedov, Mutlay Dogan,