Phase transitions in continuum ferromagnets with unbounded spins

Journal Article · Sun Nov 15 00:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4935163· OSTI ID:22479558

Daletskii, Alexei ^[1]; Kondratiev, Yuri ^[2]; Kozitsky, Yuri ^[3]

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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)

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.

• OSTI ID: 22479558
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 11; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTRIBUTION
INTERACTIONS
PHASE TRANSFORMATIONS
POTENTIALS
SPACE
SPIN
SYMMETRY
THERMAL EQUILIBRIUM