Description of extreme Gibbs measures for the Ising model with three interactions

Ganikhodjaev, Nasir and Akin, Hasan and Uguz, Selman and Temir, Seyit (2013) Description of extreme Gibbs measures for the Ising model with three interactions. Acta Physica Polonica A, 123 (2). pp. 484-487. ISSN 0587-4246

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Abstract

In this paper, we consider an Ising model with three competing interactions (nearest neighbor, next-nearest neighbor, and ternary prolonged neighbor) on the Cayley tree of order two, investigated by Ganikhodjaev et al. We study translation-invariant Gibbs measures of the Ising model with these competing interactions. Also, we investigate the set of the extreme Gibbs measures called Markov random �elds with memory 2 of the model.

Item Type:	Article (Journal)
Additional Information:	4430/29120
Uncontrolled Keywords:	Gibbs Measures, Ising Model
Subjects:	Q Science > QA Mathematics
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:	25 Feb 2013 14:00
Last Modified:	24 Nov 2014 16:22
URI:	http://irep.iium.edu.my/id/eprint/29120

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