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

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dc.creatorBiskup, Marek
dc.creatorBorgs, Christian
dc.creatorChayes, Jennifer T.
dc.creatorKotecky, Roman
dc.date2003-12-14
dc.date2004-05-07
dc.date.accessioned2026-07-07T04:30:48Z
dc.date.available2026-07-07T04:30:48Z
dc.descriptionThis 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.
dc.description46 pages, 2 figs; continuation of math-ph/0304007 and math-ph/0004003, to appear in J. Statist. Phys. (special issue dedicated to Elliott Lieb)
dc.identifierhttps://arxiv.org/abs/math-ph/0312041
dc.identifierhttp://arxiv.org/abs/math-ph/0312041
dc.identifierJ. Statist. Phys. 116 (2004), no. 1-4, 97-155
dc.identifierdoi:10.1023/B:JOSS.0000037243.48527.e3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57598
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject82B05; 82B26; 26C10; 82B20
dc.titlePartition function zeros at first-order phase transitions: Pirogov-Sinai theory
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