Continuous percolation phase transitions of random networks under a generalized Achlioptas process

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	Continuous percolation phase transitions of random networks under a generalized Achlioptas process
	Chen, XS
刊名	PHYSICAL REVIEW E
	2012
卷号	85 期号:6 页码:61110
ISSN号	1539-3755
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.
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.
学科主题	Physics
收录类别	SCI
资助信息	National Natural Science Foundation of China [10835005, 11121403]
原文出处	http://dx.doi.org/10.1103/PhysRevE.85.061110
语种	英语
WOS记录号	WOS:000305030500004
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15079]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Chen, XS. Continuous percolation phase transitions of random networks under a generalized Achlioptas process[J]. PHYSICAL REVIEW E,2012,85(6):61110.
APA	Chen, XS.(2012).Continuous percolation phase transitions of random networks under a generalized Achlioptas process.PHYSICAL REVIEW E,85(6),61110.
MLA	Chen, XS."Continuous percolation phase transitions of random networks under a generalized Achlioptas process".PHYSICAL REVIEW E 85.6(2012):61110.