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

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Author
Kerimov, A.
Date
2012
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.
Keywords
Ground state
Gibbs state
Extreme Gibbs state
Phase transition
Permalink
http://hdl.handle.net/11693/21473
Published Version (Please cite this version)
http://dx.doi.org/10.1016/j.physa.2012.01.002
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