Continuous percolation phase transitions of two-dimensional lattice networks under a generalized Achlioptas process
文献类型:期刊论文
作者 | Chen, XS![]() |
刊名 | EUROPEAN PHYSICAL JOURNAL B
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出版日期 | 2012 |
卷号 | 85期号:4页码:132 |
关键词 | EXPLOSIVE PERCOLATION RENORMALIZATION-GROUP |
ISSN号 | 1434-6028 |
通讯作者 | Liu, MX (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, 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. |
学科主题 | Physics |
收录类别 | SCI |
资助信息 | National Natural Science Foundation of China [10835005] |
原文出处 | http://dx.doi.org/10.1140/epjb/e2012-20872-1 |
语种 | 英语 |
WOS记录号 | WOS:000303545400011 |
公开日期 | 2014-04-25 |
源URL | [http://ir.itp.ac.cn/handle/311006/15126] ![]() |
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 two-dimensional lattice networks under a generalized Achlioptas process[J]. EUROPEAN PHYSICAL JOURNAL B,2012,85(4):132. |
APA | Chen, XS.(2012).Continuous percolation phase transitions of two-dimensional lattice networks under a generalized Achlioptas process.EUROPEAN PHYSICAL JOURNAL B,85(4),132. |
MLA | Chen, XS."Continuous percolation phase transitions of two-dimensional lattice networks under a generalized Achlioptas process".EUROPEAN PHYSICAL JOURNAL B 85.4(2012):132. |
入库方式: OAI收割
来源:理论物理研究所
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