文献类型：期刊文献

英文题名：Scaling and memory in the return intervals of energy dissipation rate in three-dimensional fully developed turbulence

作者：Liu, Chuang[1,2];Jiang, Zhi-Qiang[1,3];Ren, Fei[1,2,4];Zhou, Wei-Xing[1,2,3,4,5]

机构：[1]E China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China;[2]E China Univ Sci & Technol, Minist Educ, Engn Res Ctr Proc Syst Engn, Shanghai 200237, Peoples R China;[3]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[4]E China Univ Sci & Technol, Res Ctr Econophys, Shanghai 200237, Peoples R China;[5]Chinese Acad Sci, Res Ctr Fictitious Econ & Data Sci, Beijing 100080, Peoples R China

年份：2009

卷号：80

期号：4

外文期刊名：PHYSICAL REVIEW E

收录：;EI(收录号：20094312400092);WOS:【SCI-EXPANDED(收录号:WOS:000271350700056)】；

基金：This work was partially supported by the National Basic Research Program of China (Grant No. 2004CB217703), the Program for Changjiang Scholars and Innovative Research Team in University (Grant No. IRT0620), the National Natural Science Foundation (Grant No. 10905023), the Natural Science Foundation of Zhejiang Provence of China (Grant No. Z6090130, and the Program for New Century Excellent Talents in University (Grant No. NCET-07-0288).

语种：英文

外文关键词：fractals; statistical analysis; turbulence

摘要：We study the statistical properties of return intervals r between successive energy dissipation rates above a certain threshold Q in three-dimensional fully developed turbulence. We find that the distribution function P-Q(r) scales with the mean return interval R-Q as P-Q(r)=R(Q)(-1)f(r/R-Q) for R-Q is an element of[50,500], where the scaling function f(x) has two power-law regimes. The scaling behavior is statistically validated by the Crameacuter-von Mises criterion. The return intervals are short-term and long-term correlated and possess multifractal nature. The Hurst index of the return intervals decays exponentially against R-Q, predicting that rare extreme events with R-Q ->infinity are also long-term correlated with the Hurst index H-infinity=0.639. These phenomenological findings have potential applications in risk assessment of extreme events at very large R-Q.