Multiple phase transitions in the generalized Curie-Weiss model

Journal Article · Fri Jul 01 00:00:00 EDT 1988 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01016409· OSTI ID:5589879

Eisele, T; Ellis, R S ^[1]

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1. Universitaet Heidelberg (West Germany)

The generalized Curie-Weiss model is an extension of the classical Curie-Weiss model in which the quadratic interaction function of the mean spin value is replaced by a more general interaction function. It is shown that the generalized Curie-Weiss model can have a sequence of phase transitions at different critical temperatures. Both first-order and second-order phase transitions can occur, and explicit criteria for the two types are given. Three examples of generalized Curie-Weiss models are worked out in detail, including one example with infinitely many phase transitions. A number of results are derived using large-deviation techniques.

• OSTI ID: 5589879
• Journal Information: Journal of Statistical Physics; (USA), Vol. 52:1-2; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
CURIE-WEISS LAW
CRITICAL TEMPERATURE
ENTROPY
FERROMAGNETISM
FREE ENTHALPY
HAMILTONIANS
INTERACTION RANGE
MAGNETIZATION
MATHEMATICAL MANIFOLDS
PHASE TRANSFORMATIONS
SPIN
STATISTICAL MECHANICS
THERMODYNAMICS
TOPOLOGICAL MAPPING
ANGULAR MOMENTUM
DISTANCE
ENERGY
MAGNETISM
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM OPERATORS
THERMODYNAMIC PROPERTIES
TRANSFORMATIONS
TRANSITION TEMPERATURE
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics