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Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence |
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| Authors: | Chuang Liu Wei-Xing Zhou Wei-Kang Yuan |
| Affiliation: | a School of Business, East China University of Science and Technology, Shanghai 200237, China b Engineering Research Center of Process Systems Engineering (Ministry of Education), East China University of Science and Technology, Shanghai 200237, China c Research Center for Econophysics, East China University of Science and Technology, Shanghai 200237, China d School of Science, East China University of Science and Technology, Shanghai 200237, China e Research Center on Fictitious Economics & Data Science, Chinese Academy of Sciences, Beijing 100080, China f State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China |
| Abstract: | 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 NB and the box size lB 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. |
| Keywords: | Turbulence Energy dissipation rate Visibility graph Degree distribution Self-similarity Allometric scaling |
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