ar X iv : m at h - ph / 0 31 20 41 v 2 7 M ay 2 00 4 PARTITION FUNCTION ZEROS AT FIRST - ORDER PHASE TRANSITIONS : PIROGOV - SINAI THEORY
نویسندگان
چکیده
This paper is a continuation of our previous analysis [2] 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 [2] 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 [2] 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. This paper is dedicated to Elliott Lieb on the occasion of his 70 th birthday. Elliott was thesis advisor to one of us (JTC) and an inspiration to us all.
منابع مشابه
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There is only limited experimental evidence for the existence in nature of phase transitions of Ehrenfest order greater than two. However, there is no physical reason for their non-existence, and such transitions certainly exist in a number of theoretical models in statistical physics and lattice field theory. Here, higher-order transitions are analysed through the medium of partition function ...
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