Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions

Ganikhodjaev, Nasir and Ibrahim, Huda Husna (2018) Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions. 030013-1. ISSN 0094-243X

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Abstract

In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recurrent equation that describes a limit behavior of the sequence conditional Gibbs measures and prove that if at least two of the parameters are positive one can reach phase transition.

Item Type:	Article (UNSPECIFIED)
Additional Information:	4430/58331
Uncontrolled Keywords:	Ising model; phase transition; semi-infinite Cayley tree
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	13 Sep 2017 16:24
Last Modified:	20 Jan 2019 01:28
URI:	http://irep.iium.edu.my/id/eprint/58331

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