Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence

被引：162

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

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2010年 / 389卷 / 13期

关键词：

Turbulence; Energy dissipation rate; Visibility graph; Degree distribution; Self-similarity; Allometric scaling; TIME-SERIES; SELF-SIMILARITY; NETWORK; CASCADES; INDEX; MODEL; LAW;

D O I：

10.1016/j.physa.2010.02.043

中图分类号：

O4 [物理学];

学科分类号：

070305 [高分子化学与物理];

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.

引用

页码：2675 / 2681

页数：7

共 43 条

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