文献类型：期刊文献

英文题名：Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence

作者：Liu, Chuang[1,2,3];Zhou, Wei-Xing[1,2,3,4,5];Yuan, Wei-Kang[2,6]

机构：[1]E China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China;[2]E China Univ Sci & Technol, Engn Res Ctr Proc Syst Engn, Minist Educ, Shanghai 200237, Peoples R China;[3]E China Univ Sci & Technol, Res Ctr Econophys, Shanghai 200237, Peoples R China;[4]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[5]Chinese Acad Sci, Res Ctr Fictitious Econ & Data Sci, Beijing 100080, Peoples R China;[6]E China Univ Sci & Technol, State Key Lab Chem Engn, Shanghai 200237, Peoples R China

年份：2010

卷号：389

期号：13

起止页码：2675

外文期刊名：PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

收录：;EI(收录号：20101612861811);WOS:【SCI-EXPANDED(收录号:WOS:000277824800021)】；

基金：This work was partially supported by the National Basic Research Program of China (2004CB217703), the Program for Changjiang Scholars and Innovative Research Team in University (IRT0620), and the Program for New Century Excellent Talents in University (NCET-07-0288).

语种：英文

外文关键词：Turbulence; Energy dissipation rate; Visibility graph; Degree distribution; Self-similarity; Allometric scaling

摘要：We study the statistical properties of complex networks constructed from time series of energy dissipation rates in three-dimensional fully developed turbulence using the visibility algorithm. The degree distribution is found to have a power-law tail with the tail exponent alpha = 3.0. The exponential relation between the number of the boxes N-B and the box size I-B based on the edge-covering box-counting method illustrates that the network is not self-similar, which is also confirmed by the hub-hub attraction according to the visibility algorithm. In addition, it is found that the skeleton of the visibility network exhibits excellent allometric scaling with the scaling exponent eta = 1.163 +/- 0.005. (C) 2010 Elsevier B.V. All rights reserved.