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On Uniqueness of Gibbs Measures for P -adic Nonhomogeneous Λ-model on the Cayley Tree
| Content Provider | Semantic Scholar |
|---|---|
| Author | Khamraev, Murod Mukhamedov, Farruh |
| Copyright Year | 2005 |
| Abstract | We consider a nearest-neighbor p-adic λ-model with spin values ±1 on a Cayley tree of order k ≥ 1. We prove for the model there is no phase transition and as well as the unique p-adic Gibbs measure is bounded if and only if p ≥ 3. If p = 2 then we find a condition which guarantees nonexistence of a phase transition. Besides, the results are applied to the p-adic Ising model and we show that for the model there is a unique p-adic Gibbs measure. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math-ph/0510021v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math-ph/0510021v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Bethe lattice Existential quantification Ising model Magma Nearest-neighbor interpolation Phase Transition |
| Content Type | Text |
| Resource Type | Article |
