Physics – Mathematical Physics
Scientific paper
2010-02-18
Physics
Mathematical Physics
Scientific paper
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.
Pechersky Eugene
Petrova Elena
Pirogov Sergey
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