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Partition function zeros at first-order phase transitions: Pirogov-Sinai theory

Marek Biskup·Christian Borgs·Jennifer T. Chayes·Roman Kotecky
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Abstract

This paper is a continuation of our previous analysis [BBCKK] of partition functions zeros in models with first-order phase transitions and periodic boundary conditions. Here it is shown that the assumptions under which the results of [BBCKK] were established are satisfied by a large class of lattice models. These models are characterized by two basic properties: The existence of only a finite number of ground states and the availability of an appropriate contour representation. This setting includes, for instance, the Ising, Potts and Blume-Capel models at low temperatures. The combined results of [BBCKK] and the present paper provide complete control of the zeros of the partition function with periodic boundary conditions for all models in the above class.

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Marek Biskup, Christian Borgs, Jennifer T. Chayes, Roman Kotecky. 2004-05-07. Partition function zeros at first-order phase transitions: Pirogov-Sinai theory. https://doi.org/10.1023/b%3Ajoss.0000037243.48527.e3

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