Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. II: Phase diagram
This paper is the second part of our attempt of an extension of the Pirogov-Sinai theory of phase transitions at low temperatures, applicable to the lattice spin systems with finite range interactions, to the systems with infinite range interactions. Employing the cluster expansion method developed in Part I, see the preceding review, Zbl 0663.60075, and modifying the notion of the truncated contour model introduced by \textit{M. Zahradnik} [ibid. 93, 559 ff (1984)] we extend the Pirogov-Sinai result on the structure of phase diagrams to our situations. As an application, we apply our result to Potts models with infinite range interactions.
Pirogov-Sinai theory of phase transitions
lattice spin systems with finite range interactions
scientific article; zbMATH DE number 4084707