The one-dimensional long-range ferromagnetic Ising model with a periodic external field

Date
2012
Authors
Kerimov, A.
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Source Title
Physica A: Statistical Mechanics and its Applications
Print ISSN
0378-4371
Electronic ISSN
1873-2119
Publisher
Elsevier
Volume
391
Issue
10
Pages
2931 - 2935
Language
English
Type
Article
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Abstract

We consider the one-dimensional ferromagnetic Ising model with very long-range interaction under a periodic, biased and weak external field and prove that at sufficiently low temperatures the model has a unique limiting Gibbs state. © 2012 Elsevier B.V. All rights reserved.

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Keywords
Ground state, Gibbs state, Extreme Gibbs state, Phase transition
Citation
Published Version (Please cite this version)