Critical Behaviors and Universality Classes of Percolation Phase Transitions on Two-Dimensional Square Lattice

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Critical Behaviors and Universality Classes of Percolation Phase Transitions on Two-Dimensional Square Lattice
	Zhu, Y; Yang, ZQ; Zhang, X; Chen, XS
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2015
卷号	64 期号:2 页码:231-236
关键词	network percolation phase transition
通讯作者	Zhu, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
英文摘要	We have investigated both site and bond percolation on two-dimensional lattice under the random rule and the product rule respectively. With the random rule, sites or bonds are added randomly into the lattice. From two candidates picked randomly, the site or bond with the smaller size product of two connected clusters is added when the product rule is taken. Not only the size of the largest cluster but also its size jump are studied to characterize the universality class of percolation. The finite-size scaling forms of giant cluster size and size jump are proposed and used to determine the critical exponents of percolation from Monte Carlo data. It is found that the critical exponents of both size and size jump in random site percolation are equal to that in random bond percolation. With the random rule, site and bond percolation belong to the same universality class. We obtain the critical exponents of the site percolation under the product rule, which are different from that of both random percolation and the bond percolation under the product rule. The universality class of site percolation differs different from that of bond percolation when the product rule is used.
学科主题	Physics
类目[WOS]	Physics, Multidisciplinary
关键词[WOS]	EXPLOSIVE PERCOLATION ; RANDOM NETWORKS
收录类别	SCI
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/20906]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Zhu, Y,Yang, ZQ,Zhang, X,et al. Critical Behaviors and Universality Classes of Percolation Phase Transitions on Two-Dimensional Square Lattice[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2015,64(2):231-236.
APA	Zhu, Y,Yang, ZQ,Zhang, X,&Chen, XS.(2015).Critical Behaviors and Universality Classes of Percolation Phase Transitions on Two-Dimensional Square Lattice.COMMUNICATIONS IN THEORETICAL PHYSICS,64(2),231-236.
MLA	Zhu, Y,et al."Critical Behaviors and Universality Classes of Percolation Phase Transitions on Two-Dimensional Square Lattice".COMMUNICATIONS IN THEORETICAL PHYSICS 64.2(2015):231-236.