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One-dimensional long-range ferromagnetic ising model under weak and sparse external field
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 ...
On the uniqueness of Gibbs states in the Pirogov-Sinai theory
(World Scientific Publishing Co. Pte. Ltd., 2006)
We consider models of classical statistical mechanics satisfying natural stability conditions: a finite spin space, translation-periodic finite potential of finite range, a finite number of ground states meeting Peierls ...
One-dimensional non-symmetric Widom-Rowlinson model with long-range interaction
(World Scientific Publishing Co. Pte. Ltd., 2007)
The absence of phase transitions in one-dimensional Widom-Rowlinson model with long-range interaction is established in the non-symmetric case when different particles have different activity parameters. © World Scientific ...