Phase transitions of laminated models at any temperature
Eugene Pechersky, Elena Petrova, Sergey Pirogov
Institute for Information Transmission Problems RAS, Moscow, Russia
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.
Key words and phrases:
phase transitions, lattice models, Pirogov–Sinai theory.
MSC: 82B20, 82B26
Received: February 17, 2010; in revised form March 18, 2010
Eugene Pechersky, Elena Petrova, Sergey Pirogov, “Phase transitions of laminated models at any temperature”, Mosc. Math. J., 10:4 (2010), 789–806
Citation in format AMSBIB
\by Eugene~Pechersky, Elena~Petrova, Sergey~Pirogov
\paper Phase transitions of laminated models at any temperature
\jour Mosc. Math.~J.
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