Phase Transitions of Laminated Models at Any Temperature

نویسندگان

  • EUGENE PECHERSKY
  • ELENA PETROVA
چکیده

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. 2000 Math. Subj. Class. 82B20, 82B26.

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تاریخ انتشار 2010