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Dong, JQ; Shen, Z2,3,4; Zhang, YW; Huang, ZG; Huang, L1; Chen, XS
Finite-size scaling of clique percolation on two-dimensional Moore lattices
发表期刊PHYSICAL REVIEW E
语种英语
关键词EXPLOSIVE PERCOLATION BOND PERCOLATION NETWORKS CLUSTER
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.
2018
ISSN2470-0045
卷号97期号:5页码:52133
学科领域Physics
学科门类Physics, Fluids & Plasmas ; Physics, Mathematical
DOI10.1103/PhysRevE.97.052133
收录类别SCIE
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22896
专题理论物理所科研产出_SCI论文
作者单位1.Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Gansu, Peoples R China
2.Lanzhou Univ, Key Lab Magnetism & Magnet Mat MOE, Lanzhou 730000, Gansu, Peoples R China
3.Lanzhou Univ, Cuiying Honors Coll, Lanzhou 730000, Gansu, Peoples R China
4.Natl Univ Singapore, Dept Phys, Singapore 117551, Singapore
5.Natl Univ Singapore, Ctr Bioimaging Sci, Singapore 117551, Singapore
6.Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China
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.
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