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

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 α = 3.0 . The exponential...

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Bibliographic Details
Published in:Physica A 2010-07, Vol.389 (13), p.2675-2681
Main Authors: Liu, Chuang, Zhou, Wei-Xing, Yuan, Wei-Kang
Format: Article
Language:English
Subjects:
Algorithms
Allometric scaling
Degree distribution
Energy dissipation
Energy dissipation rate
Exponents
Fluid dynamics
Fluid flow
Networks
Self-similarity
Turbulence
Visibility
Visibility graph
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Summary: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 α = 3.0 . The exponential relation between the number of the boxes N B and the box size l 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 η = 1.163 ± 0.005 .
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2010.02.043