On Ising model with four competing interactions on Cayley tree

Ganikhodjaev, Nasir and Rozikov, Utkir Abdulloevich (2009) On Ising model with four competing interactions on Cayley tree. Mathematical Physics, Analysis and Geometry, 12 (2). pp. 141-156. ISSN 1385-0172 (P), 1572-9656 (O)

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Abstract

In the paper we consider an Ising model with four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two.We show that for some parameter values of the model there is a phase transition. Our second result gives complete description of the periodic Gibbs measures for the model. We also construct uncountably many non-periodic extreme Gibbs measures.

Item Type:	Article (Journal)
Additional Information:	4430/1642
Uncontrolled Keywords:	Cayley tree, Ising model, Competing interactions, Phase transition, Gibbs measure
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:	22 Nov 2011 08:46
Last Modified:	22 Nov 2011 08:46
URI:	http://irep.iium.edu.my/id/eprint/1642

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