MULTIPLE PHASE-TRANSITIONS IN THE GENERALIZED CURIE-WEISS MODEL
Publication Date
1988
Journal or Book Title
JOURNAL OF STATISTICAL PHYSICS
Abstract
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.
Pages
161-202
Volume
52
Issue
1-2
Recommended Citation
EISELE, T and Ellis, RS, "MULTIPLE PHASE-TRANSITIONS IN THE GENERALIZED CURIE-WEISS MODEL" (1988). JOURNAL OF STATISTICAL PHYSICS. 352.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/352
Comments
The published version is located at http://www.springerlink.com/content/p03182165v315357/