无序-有序转变的连续统Potts模型--集团动力学研究
The Continuum Potts Model at the Disorder-Order Transition -- a Study by Cluster Dynamics
摘要：
我们调查的连续Q-Potts模型在其过渡点从无序到有序的制度，特别强调在高Q值的情况下，无序和有序相的共存。我们认为，相变的发生可以被看作是在相关的随机集团表示渗流，类似于晶格Potts模型，并探讨了典型的结构的集团高q。我们还报告在两个维度上使用连续版本的Swendsen-Wang算法的数值模拟，比较结果与早期的模拟使用入侵集群算法，并讨论在无序和有序阶段集群的几何形状的影响。
英文摘要：
We investigate the continuum q-Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered phases in the high-q case. We argue that occurrence of phase transition can be seen as percolation in the related random cluster representation, similarly to the lattice Potts model, and investigate the typical structure of clusters for high q. We also report on numerical simulations in two dimensions using a continuum version of the Swendsen-Wang algorithm, compare the results with earlier simulations which used the invaded cluster algorithm, and discuss implications on the geometry of clusters in the disordered and ordered phases.
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