| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 978405 | Physica A: Statistical Mechanics and its Applications | 2012 | 5 Pages |
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.
► 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Azer Kerimov,