Critical behavior of a dynamical percolation model

• Published in: Chinese physics C Vol. 33; no. 7; pp. 552 - 556
• Main Author: 喻梅凌 许明梅 刘正猷 刘连寿
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.07.2009; Key Laboratory of Quark & Lepton Physics (Huazhong Normal University),Ministry of Education, Wuhan 430079, China; Department of Physics, Wuhan University, Wuhan 430072, China%Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China%Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China
• Subjects: 临界指数; 分子聚集; 有限尺寸; 标度方法; 渗流模型; molecule-like aggregation; percolation; delocalization; critical exponent
• ISSN: 1674-1137; 0254-3052; 2058-6132
• DOI: 10.1088/1674-1137/33/7/009

The critical behavior of the dynamical percolation model,which realizes the molecular-aggregation conception and describes the crossover between the hadronic phase and the partonic phase,is studied in detail. The critical percolation distance for this model is obtained by using the probability P∞ of the appearance of an infinite cluster. Utilizing the finite-size scaling method the critical exponents γ/ν and τ are extracted from the distribution of the average cluster size and cluster number density. The influences of two model related factors,i.e. the maximum bond number and the definition of the infinite cluster,on the critical behavior are found to be small.