One-dimensional long-range ferromagnetic ising model under weak and sparse external field
Date
2009
Authors
Kerimov, A.
Editor(s)
Advisor
Supervisor
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Instructor
Source Title
International Journal of Modern Physics B
Print ISSN
0217-9792
Electronic ISSN
Publisher
Volume
23
Issue
32
Pages
5899 - 5906
Language
English
Type
Journal Title
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Volume Title
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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.