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题名: Continuous percolation phase transitions of random networks under a generalized Achlioptas process
作者: Fan, JF ;  Liu, MX ;  Li, LS ;  Chen, XS
刊名: PHYSICAL REVIEW E
出版日期: 2012
卷号: 85, 期号:6, 页码:61110
学科分类: Physics
通讯作者: Fan, JF (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
部门归属: [Fan, Jingfang; Liu, Maoxin; Chen, Xiaosong] Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China; [Li, Liangsheng] Beijing Inst Technol, Key Lab Cluster Sci, Minist Educ, Beijing 100081, Peoples R China; [Li, Liangsheng] Beijing Inst Technol, Dept Phys, Beijing 100081, Peoples R China
英文摘要: Using finite-size scaling, we have investigated the percolation phase transitions of evolving random networks under a generalized Achlioptas process (GAP). During this GAP, the edge with a minimum product of two connecting cluster sizes is taken with a probability p from two randomly chosen edges. This model becomes the Erdos-Renyi network at p = 0.5 and the random network under the Achlioptas process at p = 1. Using both the fixed point of the size ratio s(2)/s(1) and the straight line of ln s(1), where s(1) and s(2) are the reduced sizes of the largest and the second-largest cluster, we demonstrate that the phase transitions of this model are continuous for 0.5 <= p <= 1. From the slopes of ln s(1) and ln(s(2)/s(1))' at the critical point, we get critical exponents beta and upsilon of the phase transitions. At 0.5 <= p <= 0.8, it is found that beta, upsilon and s(2)/s(1) at critical point are unchanged and the phase transitions belong to the same universality class. When p >= 0.9, beta, upsilon, and s(2)/s(1) at critical point vary with p and the universality class of phase transitions depends on p.
资助者: National Natural Science Foundation of China [10835005, 11121403]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000305030500004
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15079
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Fan, JF,Liu, MX,Li, LS,et al. Continuous percolation phase transitions of random networks under a generalized Achlioptas process[J]. PHYSICAL REVIEW E,2012,85(6):61110.
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