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

Kerimov, A.

doi:10.1016/j.physa.2012.01.002

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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

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.