Now showing items 1-5 of 5
A condition for the uniqueness of Gibbs states in one-dimensional models
(Elsevier BV * North-Holland, 1998)
Uniqueness of limit Gibbs states of one dimensional models with a unique "stable" ground state is established at low temperatures. © 1998 Elsevier Science B.V. All rights reserved.
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 ...
Absence of phase transitions in one-dimensional antiferromagnetic models with long-range interactions
(Kluwer Academic Publishers-Plenum PublishersSpringer New York LLC, 1993)
The absence of phase transitions in a one-dimensional model with long-range antiferromagnetic potential is established at low temperatures when the ground states have a rational density. A description of the set of all ...
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 ...
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 ...