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      One-dimensional long-range ferromagnetic ising model under weak and sparse external field

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      Author
      Kerimov, A.
      Date
      2009
      Source Title
      International Journal of Modern Physics B
      Print ISSN
      0217-9792
      Volume
      23
      Issue
      32
      Pages
      5899 - 5906
      Language
      English
      Type
      Article
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      Abstract
      We consider the one-dimensional ferromagnetic Ising model with very long range interaction under weak and sparse biased external field and prove that at sufficiently low temperatures, the model has a unique limiting Gibbs state. © 2009 World Scientific Publishing Company.
      Keywords
      Extreme Gibbs state
      Gibbs state
      Ground state
      Phase transition
      Permalink
      http://hdl.handle.net/11693/22491
      Published Version (Please cite this version)
      http://dx.doi.org/10.1142/S0217979209053291
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      • Department of Mathematics 628
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