Cardinality of phase transition of Ising models on closed cayley trees

Toby Berger and Zhongxing Ye

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 3, 549-574

Abstract: 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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:3:p:549-574

DOI: 10.1016/0378-4371(90)90073-2

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