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Title: Phase transitions in continuum ferromagnets with unbounded spins

States of thermal equilibrium of an infinite system of interacting particles in ℝ{sup d} are studied. The particles bear “unbounded” spins with a given symmetric a priori distribution. The interaction between the particles is pairwise and splits into position-position and spin-spin parts. The position-position part is described by a superstable potential, and the spin-spin part is attractive and of finite range. Thermodynamic states of the system are defined as tempered Gibbs measures on the space of marked configurations. It is proved that the set of such measures contains at least two elements if the activity is big enough.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Mathematics, University of York, York YO10 DD (United Kingdom)
  2. Fakultät für Mathematik, Universität Bielefeld, Bielefeld D-33615 (Germany)
  3. Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, 20-031 Lublin (Poland)
Publication Date:
OSTI Identifier:
22479558
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 11; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTRIBUTION; INTERACTIONS; PHASE TRANSFORMATIONS; POTENTIALS; SPACE; SPIN; SYMMETRY; THERMAL EQUILIBRIUM