Browsing by Subject "Ground State"
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Item Open Access Gibbs measures and phase transitions in one-dimensional models(2000) Mallak, SaedIn 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 disproving a uniqueness conjecture formulated before for one-dimensional models. It turns out that this conjecture is correct under some natural regularity conditions. VVe also apply the uniqueness theorem to some one-dimensional models.Item Open Access Limiting Gibbs measures of some models of classical statistical mechanics(2002) Ünal, DenizWe 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.