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      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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