Extremality of translation-invariant Gibbs measures for the λ-model on the binary Cayley tree

F. M. Mukhamedov; M. M. Rahmatullaev; M. A. Rasulova

doi:10.1134/S0040577922030114

Extremality of translation-invariant Gibbs measures for the λ-model on the binary Cayley tree

F. M. Mukhamedov
, M. M. Rahmatullaev
, M. A. Rasulova

Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

Abstract: We consider the λ-model on the Cayley tree of order k=2. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.

Original language	English
Pages (from-to)	411-424
Number of pages	14
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	210
Issue number	3
DOIs	https://doi.org/10.1134/S0040577922030114
Publication status	Published - Mar 2022

Keywords

Gibbs measure
extremality
phase transition

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1134/S0040577922030114

Cite this

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title = "Extremality of translation-invariant Gibbs measures for the λ-model on the binary Cayley tree",

abstract = "Abstract: We consider the λ-model on the Cayley tree of order k=2. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.",

keywords = "Gibbs measure, extremality, phase transition",

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AU - Rasulova, M. A.

PY - 2022/3

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AB - Abstract: We consider the λ-model on the Cayley tree of order k=2. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.

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KW - extremality

KW - phase transition

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Extremality of translation-invariant Gibbs measures for the λ-model on the binary Cayley tree

Abstract

Keywords

ASJC Scopus subject areas

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