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.

Comments

The published version is located at http://www.springerlink.com/content/p03182165v315357/

Pages

161-202

Volume

52

Issue

1-2

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