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

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  • Liu, Chuang
  • Zhou, Wei-Xing
  • Yuan, Wei-Kang

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.

Suggested Citation

  • Liu, Chuang & Zhou, Wei-Xing & Yuan, Wei-Kang, 2010. "Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2675-2681.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:13:p:2675-2681
    DOI: 10.1016/j.physa.2010.02.043
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