论文标题
随机群集模型的尖锐相变，可总结外部磁场
Sharp Phase Transition for the Random-Cluster Model with Summable External Magnetic Field
论文作者
论文摘要
在本文中，我们证明了随机群集模型在可总结的正外磁场中的相变的清晰度，簇权重q = 2,3，...，在超双立晶状体上。也就是说，存在一些非平凡的临界参数，这些参数取决于簇的重量和外部场，在该模型下面表现出指数衰减，而在这些范围上几乎肯定存在一个无限的群集。
In this paper, we prove sharpness of the phase transition for the random-cluster model in summable positive external fields, with cluster weight q=2,3,..., on the hypercubic lattice. That is, there exists some nontrivial critical parameter that depends on the cluster weight and the external field, below which the model exhibits exponential decay and above which there exists almost surely an infinite cluster.
