2010/02/18 by Eugene Pechersky, E. Pechersky, Pechersky, Eugene +5
Computer Science · Mathematics · Physics and Astronomy · #82B20 #82B26 #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:82B20 #msc:82B26
paper · pdf · doi:10.48550/arxiv.1002.3544
arxiv created 2010/02/18 · openalex publication_date 2010/02/18 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.