Browsing by Keywords "Hamiltonian"
Now showing items 1-9 of 9
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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 ... -
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. -
Gibbs measures and phase transitions in one-dimensional models
(Bilkent University, 2000)In this thesis we study the problem of limit Gibbs measures in one-dimensional models. VVe investigate uniqueness conditions for the limit Gibbs measures for one-dimensional models. VVe construct a one-dimensional model ... -
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 ... -
Limiting Gibbs measures in some one and two dimensional models
(Bilkent University, 2005)We give the definitions of finite volume Gibbs measure and limit Gibbs states. In one dimensional Ising model with arbitrary boundary conditions we calculate correlation functions in explicit way. In one dimension, ... -
Limiting Gibbs measures of some models of classical statistical mechanics
(Bilkent University, 2002)We consider some models of classical statistical mechanics with their random perturbations and investigate the phase diagrams of this models. By using uniqueness theorem we prove the absence of phase transitions in this models. -
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. -
Triplets of closely embedded Dirichlet type spaces on the unit polydisc
(Birkhaeuser Science, 2013)We propose a general concept of triplet of Hilbert spaces with closed embeddings, instead of continuous ones, and we show how rather general weighted L2 spaces yield this kind of generalized triplets of Hilbert spaces for ... -
Triplets of closely embedded Hilbert spaces
(Springer, 2014)We obtain a general concept of triplet of Hilbert spaces with closed (unbounded) embeddings instead of continuous (bounded) ones. We provide a model and an abstract theorem as well for a triplet of closely embedded Hilbert ...
