任意温度下叠层模型的相变
Phase Transition of Laminated Models at Any Temperature
摘要：
标准的Pirogov -西奈理论推广到两种模式的相互作用：纵向和横向的模型类。在关于纵向相互作用的较一般的假设下，对于一种特定形式的横向相互作用，证明了这种系统在任何温度下都有各种相变：起反温度作用的参数是横向相互作用的强度。这种系统的具体例子是$(1+1)$维模型。
英文摘要：
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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