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

Date
2009
Authors
Kerimov, A.
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Source Title
International Journal of Modern Physics B
Print ISSN
0217-9792
Electronic ISSN
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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.

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