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

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

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. ► The ferromagnetic 1D Ising model with a periodic external field i...

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Veröffentlicht in:Physica A 2012-05, Vol.391 (10), p.2931-2935
1. Verfasser: Kerimov, Azer
Format: Artikel
Sprache:eng
Schlagworte:
Constraining
Extreme Gibbs state
Ferromagnetism
Gibbs state
Ground state
Ising model
Phase transition
Statistical mechanics
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Zusammenfassung: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. ► The ferromagnetic 1D Ising model with a periodic external field is investigated. ► The low temperature Gibbs state is unique under a weak and biased external field. ► Medium-valued external fields may lead to non-uniqueness of Gibbs states.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2012.01.002