The avalanche dynamics in random nearest neighbor models of evolution with interaction strength
文献类型:期刊论文
作者 | Jia, W; Fan, WT |
刊名 | ACTA MATHEMATICA SCIENTIA
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出版日期 | 2006 |
卷号 | 26期号:1页码:179-187 |
关键词 | BS model interaction strength gap equation avalanche critical exponent |
英文摘要 | A generalized Bak-Sneppen model (BS model) of biological evolution with interaction strength theta is introduced in d-dimensional space, where the "nearest neighbors" are chosen among the 2d neighbors of the extremal site, with the probabilities related to the sizes of the fitnesses. Simulations of one- and two-dimensional models are given. For given theta > 0, the model can self-organize to a critical state, and the critical threshold f(c)(theta) decreases as theta increases. The exact gap equation depending on theta is presented, which reduces to the gap equation of BS model as 0 tends to infinity. An exact equation for the critical exponent gamma(theta) is also obtained. Scaling relations are established among the six critical exponents of the avalanches of the model. |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Mathematics |
研究领域[WOS] | Mathematics |
关键词[WOS] | CRITICALITY ; NETWORKS |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000235984600019 |
公开日期 | 2015-07-28 |
源URL | [http://ir.wipm.ac.cn/handle/112942/4660] ![]() |
专题 | 武汉物理与数学研究所_2011年以前论文发表(包括2011年) |
作者单位 | 1.Wuhan Univ, Inst Syst Engn, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
推荐引用方式 GB/T 7714 | Jia, W,Fan, WT. The avalanche dynamics in random nearest neighbor models of evolution with interaction strength[J]. ACTA MATHEMATICA SCIENTIA,2006,26(1):179-187. |
APA | Jia, W,&Fan, WT.(2006).The avalanche dynamics in random nearest neighbor models of evolution with interaction strength.ACTA MATHEMATICA SCIENTIA,26(1),179-187. |
MLA | Jia, W,et al."The avalanche dynamics in random nearest neighbor models of evolution with interaction strength".ACTA MATHEMATICA SCIENTIA 26.1(2006):179-187. |
入库方式: OAI收割
来源:武汉物理与数学研究所
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