Finite-size scaling of clique percolation on two-dimensional Moore lattices

doi:10.1103/PhysRevE.97.052133

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	Finite-size scaling of clique percolation on two-dimensional Moore lattices
	Dong, JQ ; Shen, Z 3,4,5; Zhang, YW ; Huang, ZG ; Huang, L 2; Chen, XS
刊名	PHYSICAL REVIEW E
	2018
卷号	97 期号:5 页码:52133
关键词	EXPLOSIVE PERCOLATION BOND PERCOLATION NETWORKS CLUSTER
ISSN号	2470-0045
DOI	10.1103/PhysRevE.97.052133
英文摘要	Clique percolation has attracted much attention due to its significance in understanding topological overlap among communities and dynamical instability of structured systems. Rich critical behavior has been observed in clique percolation on Erdos-Renyi (ER) random graphs, but few works have discussed clique percolation on finite dimensional systems. In this paper, we have defined a series of characteristic events, i.e., the historically largest size jumps of the clusters, in the percolating process of adding bonds and developed a new finite-size scaling scheme based on the interval of the characteristic events. Through the finite-size scaling analysis, we have found, interestingly, that, in contrast to the clique percolation on an ER graph where the critical exponents are parameter dependent, the two-dimensional (2D) clique percolation simply shares the same critical exponents with traditional site or bond percolation, independent of the clique percolation parameters. This has been corroborated by bridging two special types of clique percolation to site percolation on 2D lattices. Mechanisms for the difference of the critical behaviors between clique percolation on ER graphs and on 2D lattices are also discussed.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22896]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China 2.Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Gansu, Peoples R China 3.Lanzhou Univ, Key Lab Magnetism & Magnet Mat MOE, Lanzhou 730000, Gansu, Peoples R China 4.Lanzhou Univ, Cuiying Honors Coll, Lanzhou 730000, Gansu, Peoples R China 5.Natl Univ Singapore, Dept Phys, Singapore 117551, Singapore 6.Natl Univ Singapore, Ctr Bioimaging Sci, Singapore 117551, Singapore 7.Xi An Jiao Tong Univ, Sch Life Sci & Technol, Xian 710049, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Dong, JQ,Shen, Z,Zhang, YW,et al. Finite-size scaling of clique percolation on two-dimensional Moore lattices[J]. PHYSICAL REVIEW E,2018,97(5):52133.
APA	Dong, JQ,Shen, Z,Zhang, YW,Huang, ZG,Huang, L,&Chen, XS.(2018).Finite-size scaling of clique percolation on two-dimensional Moore lattices.PHYSICAL REVIEW E,97(5),52133.
MLA	Dong, JQ,et al."Finite-size scaling of clique percolation on two-dimensional Moore lattices".PHYSICAL REVIEW E 97.5(2018):52133.