Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions

Ganikhodjaev, Nasir and Akin, Hasan and Temir, Seyit and Uguz, Selman (2011) Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions. Phase Transitions, 84 (11-12). pp. 1045-1063. ISSN 0141-1594 (P), 1029-0338 (O)

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Abstract

One of the main problems of statistical physics is to describe all Gibbs measures corresponding to a given Hamiltonian. It is well known that such measures form a nonempty convex compact subset in the set of all probability measures. The purpose of this article is to investigate phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions.

Item Type:	Article (Journal)
Additional Information:	4430/7135
Uncontrolled Keywords:	Cayley tree; Gibbs measure; Vannimenus model; extreme Gibbs measure
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	22 Nov 2011 14:55
Last Modified:	22 Nov 2011 14:55
URI:	http://irep.iium.edu.my/id/eprint/7135

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