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arXiv · 1002.3544

Phase Transition of Laminated Models at Any Temperature

Eugene Pechersky·Elena Petrova·Sergey Pirogov
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Abstract

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.

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Eugene Pechersky, Elena Petrova, Sergey Pirogov. 2010-02-18. Phase Transition of Laminated Models at Any Temperature. https://arxiv.org/abs/1002.3544

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