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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: Annual International Conference on Operations Research and Statistics (ORS 2011), 7-8 April 2011, Penang, Malaysia.

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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 hx, x V, where V is the set of vertices of the Cayley tree. We show that both models on the Cayley tree with –J < inf {hx: x V} < sup{ hx: x V} < J, have a first-order phase transition

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4430/1715 (The Conference Proceedings (Print ISSN: 2251-1938, E-Periodical ISSN: 2251-1946, ISBN: 978-981-08-8407-9) will be indexed by EBSCO, CrossRef, Proquest and will be submitted to Scopus, ScienceDirect and amongst others, where applicable
Uncontrolled Keywords: Ising and Potts models; Phase transition; Cayley tree; non-uniform magnetic field
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 30 Nov 2011 13:49
Last Modified: 30 Nov 2011 13:49
URI: http://irep.iium.edu.my/id/eprint/1715

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