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题名: Continuous percolation phase transitions of two-dimensional lattice networks under a generalized Achlioptas process
作者: Liu, MX ;  Fan, JF ;  Li, LS ;  Chen, XS
刊名: EUROPEAN PHYSICAL JOURNAL B
出版日期: 2012
卷号: 85, 期号:4, 页码:132
关键词: EXPLOSIVE PERCOLATION ;  RENORMALIZATION-GROUP
学科分类: Physics
通讯作者: Liu, MX (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
部门归属: [Liu, M. X.; Fan, J. F.; Chen, X. S.] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Li, L. S.] Beijing Inst Technol, Key Lab Cluster Sci, Minist Educ, Beijing 100081, Peoples R China; [Li, L. S.] Beijing Inst Technol, Dept Phys, Beijing 100081, Peoples R China
英文摘要: The percolation phase transitions of two-dimensional lattice networks under a generalized Achlioptas process (GAP) are investigated. During the GAP, two edges are chosen randomly from the lattice and the edge with minimum product of the two connecting cluster sizes is taken as the next occupied bond with a probability p. At p = 0.5, the GAP becomes the random growth model and leads to the minority product rule at p = 1. Using the finite-size scaling analysis, we find that the percolation phase transitions of these systems with 0.5 <= p <= 1 are always continuous and their critical exponents depend on p. Therefore, the universality class of the critical phenomena in two-dimensional lattice networks under the GAP is related to the probability parameter p in addition.
资助者: National Natural Science Foundation of China [10835005]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000303545400011
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15126
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Liu, MX,Fan, JF,Li, LS,et al. Continuous percolation phase transitions of two-dimensional lattice networks under a generalized Achlioptas process[J]. EUROPEAN PHYSICAL JOURNAL B,2012,85(4):132.
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