Cardinality of phase transition of Ising models on closed cayley trees

We provide a new approach to study phase transition for Ising models on closed Cayley trees. It is shown that there may exist more than one limiting measure for an Ising model on an infinite Cayley tree in both ferromagnetic and antiferromagnetic cases. The exact critical values of the parameters corresponding to the pair interactions are obtained for both cases.

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Year of publication:	1990
Authors:	Berger, Toby ; Ye, Zhongxing
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 166.1990, 3, p. 549-574
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010873767