An Ising model with three competing interactions on a Cayley tree

In this paper we consider an Ising model with three competing restricted interactions on the Cay ley tree J2(J3). The translation invariant and periodic Gibbs measures for these models are investigated and the problem of the phase transition in these classes is solved. © 2004 American Institute of P...

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Main Authors: Ganikhodjaev, Nasir, Pah, Chin Hee, Wahiddin, Mohamed Ridza
Format: Article
Language:English
Published: American Institute of Physics Inc. 2004
Subjects:
Online Access:http://irep.iium.edu.my/13346/1/gnn-pah-ising-%28JMP-04%29.pdf
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author Ganikhodjaev, Nasir
Pah, Chin Hee
Wahiddin, Mohamed Ridza
author_facet Ganikhodjaev, Nasir
Pah, Chin Hee
Wahiddin, Mohamed Ridza
author_sort Ganikhodjaev, Nasir
collection IIUM
description In this paper we consider an Ising model with three competing restricted interactions on the Cay ley tree J2(J3). The translation invariant and periodic Gibbs measures for these models are investigated and the problem of the phase transition in these classes is solved. © 2004 American Institute of Physics.
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spelling oai:generic.eprints.org:133462020-06-11T06:58:50Z http://irep.iium.edu.my/13346/ An Ising model with three competing interactions on a Cayley tree Ganikhodjaev, Nasir Pah, Chin Hee Wahiddin, Mohamed Ridza QA Mathematics In this paper we consider an Ising model with three competing restricted interactions on the Cay ley tree J2(J3). The translation invariant and periodic Gibbs measures for these models are investigated and the problem of the phase transition in these classes is solved. © 2004 American Institute of Physics. American Institute of Physics Inc. 2004 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13346/1/gnn-pah-ising-%28JMP-04%29.pdf Ganikhodjaev, Nasir and Pah, Chin Hee and Wahiddin, Mohamed Ridza (2004) An Ising model with three competing interactions on a Cayley tree. Journal of Mathematical Physics, 45 (9). 3645-3658 . ISSN 0022-2488 (P), 1089-7658 (O) http://dx.doi.org/10.1063/1.1781747 doi:10.1063/1.1781747
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Pah, Chin Hee
Wahiddin, Mohamed Ridza
An Ising model with three competing interactions on a Cayley tree
title An Ising model with three competing interactions on a Cayley tree
title_full An Ising model with three competing interactions on a Cayley tree
title_fullStr An Ising model with three competing interactions on a Cayley tree
title_full_unstemmed An Ising model with three competing interactions on a Cayley tree
title_short An Ising model with three competing interactions on a Cayley tree
title_sort ising model with three competing interactions on a cayley tree
topic QA Mathematics
url http://irep.iium.edu.my/13346/1/gnn-pah-ising-%28JMP-04%29.pdf
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