Phase transition in ferromagnetic lattice models on a Cayley tree with non-uniform external magnetic fields

Ganikhodjaev, Nasir (2011) Phase transition in ferromagnetic lattice models on a Cayley tree with non-uniform external magnetic fields. In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011). Operations Research and Statistics 2011 & GST, Singapore, pp. 106-110. ISBN 9789810884079 (pbk.)

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Abstract

In this article we study the phase transition phenomenon for the Ising and Potts models under the action of a non-uniform external magnetic field hx3 XE V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with-J < inf {h,: xeV} < sup{ h,: x€V} < J, have a first-order phase tansition

Item Type:	Book Chapter
Additional Information:	4430/14374
Uncontrolled Keywords:	Ising and Potts models;Phase transition; Cayley tree; non-uniform magnetic field.
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:	03 Feb 2012 08:26
Last Modified:	03 Feb 2012 09:50
URI:	http://irep.iium.edu.my/id/eprint/14374

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