p-Adic solid-on-solid model on a Cayley tree
نویسندگان
چکیده
منابع مشابه
ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE
We consider a nearest-neighbor inhomogeneous p-adic Potts (with q ≥ 2 spin values) model on the Cayley tree of order k ≥ 1. The inhomogeneity means that the interaction Jxy couplings depend on nearest-neighbors points x, y of the Cayley tree. We study (p− adic) Gibbs measures of the model. We show that (i) if q / ∈ pN then there is unique Gibbs measure for any k ≥ 1 and ∀Jxy with |Jxy | < p . (...
متن کاملOn Phase Transitions for P -adic Potts Model with Competing Interactions on a Cayley Tree
In the paper we considere three state p-adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the p-adic Gibbs measures to the solution of certain recursive equation, and using it we will prove that a phase transition occurs if and only if p = 3 for any value (non zero) of interactions. As well, we completely solve the uniqueness proble...
متن کاملOn Gibbs Measures of P -adic Potts Model on the Cayley Tree
We consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ∈ Qp) model on the Cayley tree of order k ≥ 1. It is proved that a phase transition occurs at k = 2, q ∈ pN and p ≥ 3 (resp. q ∈ 2N, p = 2). It is established that for p-adic Potts model at k ≥ 3 a phase transition may occur only at q ∈ pN if p ≥ 3 and q ∈ 2N if p = 2.
متن کاملON p-ADIC GIBBS MEASURES OF COUNTABLE STATE POTTS MODEL ON THE CAYLEY TREE
Abstract. In the present paper we consider countable state p-adic Potts model on the Cayley tree. A construction of p-adic Gibbs measures which depends on weights λ is given, and an investigation of such measures is reduced to examination of an infinite-dimensional recursion equation. Studying of the derived equation under some condition on weights, we prove absence of the phase transition. Not...
متن کاملExistence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree
Correspondence: far75m@yandex. ru Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, 141, 25710, Kuantan, Pahang, Malaysia Abstract In the present article, we provide a new construction of measure, called p-adic quasi Gibbs measure, for countable state of p-adic Potts model on the Cayley tree. Such a construction depends ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2017
ISSN: 0040-5779,1573-9333
DOI: 10.1134/s0040577917120133