Random-Cluster Representation of the Blume–Capel Model

被引：0
作者：
B. T. Graham
G. R. Grimmett
机构：
[1] University of Cambridge,Statistical Laboratory
来源：
Journal of Statistical Physics | 2006年 / 125卷
关键词：
Blume–Capel model; Ising model; Potts model; random-cluster model; first-order phase transition; tri-critical point;
D O I：
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学科分类号：
摘要：
The so-called diluted-random-cluster model may be viewed as a random-cluster representation of the Blume–Capel model. It has three parameters, a vertex parameter a, an edge parameter p, and a cluster weighting factor q. Stochastic comparisons of measures are developed for the ‘vertex marginal’ when q ∊ [1,2], and the ‘edge marginal’ when q ∊ [1,∞). Taken in conjunction with arguments used earlier for the random-cluster model, these permit a rigorous study of part of the phase diagram of the Blume–Capel model.
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页码：283 / 316
页数：33
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