Phase Transition of Laminated Models at Any Temperature

The standard Pirogov -- Sinai theory is generalized to the class of models with two modes of interaction: longitudinal and transversal. Under rather general assumptions about the longitudinal interaction and for one specific form of the transversal interaction it is proved that such system has a var...

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Bibliographic Details
Published in:arXiv.org 2010-02
Main Authors: Pechersky, Eugene, Petrova, Elena, Pirogov, Sergey
Format: Article
Language:English
Subjects:
Phase transitions
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Summary:The standard Pirogov -- Sinai theory is generalized to the class of models with two modes of interaction: longitudinal and transversal. Under rather general assumptions about the longitudinal interaction and for one specific form of the transversal interaction it is proved that such system has a variety of phase transitions at any temperature: the parameter which plays the role of inverse temperature is the strength of the transversal interaction. The concrete examples of such systems are \((1+1)\)-dimensional models.
ISSN:2331-8422