ITP OpenIR  > SCI期刊论文
Zhu, Y; Yang, ZQ; Zhang, X; Chen, XS; Zhu, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Critical Behaviors and Universality Classes of Percolation Phase Transitions on Two-Dimensional Square Lattice
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordNetwork Percolation Phase Transition
AbstractWe 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.
2015
Volume64Issue:2Pages:231-236
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11121403] ; National Natural Science Foundation of China [11121403] ; National Natural Science Foundation of China [11121403] ; National Natural Science Foundation of China [11121403]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20906
CollectionSCI期刊论文
Corresponding AuthorZhu, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
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,&Zhu, Y .(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.
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