Knowledge Management System of Institute of Theoretical Physics, CAS
Fan, JF; Liu, MX; Li, LS; Chen, XS; Fan, JF (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China. | |
Continuous percolation phase transitions of random networks under a generalized Achlioptas process | |
Source Publication | PHYSICAL REVIEW E |
Language | 英语 |
Abstract | 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. |
2012 | |
ISSN | 1539-3755 |
Volume | 85Issue:6Pages:61110 |
Subject Area | Physics |
Indexed By | SCI |
Funding Organization | National Natural Science Foundation of China [10835005, 11121403] ; National Natural Science Foundation of China [10835005, 11121403] ; National Natural Science Foundation of China [10835005, 11121403] ; National Natural Science Foundation of China [10835005, 11121403] |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/15079 |
Collection | 理论物理所科研产出_SCI论文 |
Corresponding Author | Fan, JF (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China. |
Recommended Citation GB/T 7714 | 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. |
APA | Fan, JF,Liu, MX,Li, LS,Chen, XS,&Fan, JF .(2012).Continuous percolation phase transitions of random networks under a generalized Achlioptas process.PHYSICAL REVIEW E,85(6),61110. |
MLA | Fan, JF,et al."Continuous percolation phase transitions of random networks under a generalized Achlioptas process".PHYSICAL REVIEW E 85.6(2012):61110. |
Files in This Item: | ||||||
File Name/Size | DocType | Version | Access | License | ||
Continuous percolati（4554KB） | 开放获取 | License | Application Full Text |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment