Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. II: Phase diagram
type: Item
instance of: scholarly article
title: Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. II: Phase diagram
zbMATH Open document ID: 0663.60076
DOI: 10.1007/BF01225036
author: Yong Moon Park
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 4084707
zbMATH Keywords: Pirogov-Sinai theory of phase transitions
zbMATH Keywords: low temperatures
zbMATH Keywords: lattice spin systems with finite range interactions
zbMATH Keywords: cluster expansion
zbMATH Keywords: phase diagrams
MaRDI profile type: Publication
cites work: First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
cites work: Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. I: Cluster expansion
full work available at URL: https://doi.org/10.1007/bf01225036
OpenAlex ID: W1985029074
description: scientific article; zbMATH DE number 4084707