Ground States and Phase Transition of the λ Model on the Cayley Tree

F. Mukhamedov; Chin Hee Pah; H. Jamil

doi:10.1134/S004057791802006X

Ground States and Phase Transition of the λ Model on the Cayley Tree

F. Mukhamedov, Chin Hee Pah, H. Jamil

Department of Mathematical Sciences

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

3 Citations (Scopus)

Abstract

We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.

Original language	English
Pages (from-to)	260-273
Number of pages	14
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	194
Issue number	2
DOIs	https://doi.org/10.1134/S004057791802006X
Publication status	Published - Feb 1 2018

Keywords

Gibbs measure
ground state
phase transition

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1134/S004057791802006X

Cite this

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Ground States and Phase Transition of the λ Model on the Cayley Tree

Abstract

Keywords

ASJC Scopus subject areas

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