On P-adic λ-model on the Cayley tree

Murod Khamraev; Farruh Mukhamedov

doi:10.1063/1.1792932

On P-adic λ-model on the Cayley tree

Murod Khamraev
, Farruh Mukhamedov

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

We consider a nearest-neighbor p-adic λ-model with spin values ±1 on the Cayley tree of order k≥1. We prove that a p-adic Gibbs measure is unique for p≥3. If p=2 then we find a condition which guarantees uniqueness of p-adic Gibbs measure. Besides, the results are applied to the p-adic Ising model.

Original language	English
Pages (from-to)	4025-4034
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	45
Issue number	11
DOIs	https://doi.org/10.1063/1.1792932
Publication status	Published - 2004
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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AB - We consider a nearest-neighbor p-adic λ-model with spin values ±1 on the Cayley tree of order k≥1. We prove that a p-adic Gibbs measure is unique for p≥3. If p=2 then we find a condition which guarantees uniqueness of p-adic Gibbs measure. Besides, the results are applied to the p-adic Ising model.

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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On P-adic λ-model on the Cayley tree

Abstract

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