Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
974227 | Physica A: Statistical Mechanics and its Applications | 2010 | 7 Pages |
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=3.0α=3.0. The exponential relation between the number of the boxes NBNB and the box size lBlB 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±0.005η=1.163±0.005.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chuang Liu, Wei-Xing Zhou, Wei-Kang Yuan,