Now showing items 1-9 of 9
One-Dimensional Long Range Widom-Rowlinson Model with Periodic Particle Activities
(World Scientific Publishing Company, 2013)
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 ...
Ground states of one-dimensional long-range ferromagnetic ising model with external field
(World Scientific Publishing, 2012)
A zero-temperature phase-diagram of the one-dimensional ferromagnetic Ising model is investigated. It is shown that at zero temperature spins of any compact collection of lattice points with identically oriented external ...
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 ...
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 ...
Phase transition in one dimensional model with unique ground state
(Elsevier BV * North-Holland, 1996)
A one - dimensional model having a unique ground state and admitting a phase transition is constructed.