Permutation entropy and statistical complexity analysis of turbulence in laboratory plasmas and the solar wind

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
P J WeckR T Wicks

Abstract

The Bandt-Pompe permutation entropy and the Jensen-Shannon statistical complexity are used to analyze fluctuating time series of three different turbulent plasmas: the magnetohydrodynamic (MHD) turbulence in the plasma wind tunnel of the Swarthmore Spheromak Experiment (SSX), drift-wave turbulence of ion saturation current fluctuations in the edge of the Large Plasma Device (LAPD), and fully developed turbulent magnetic fluctuations of the solar wind taken from the Wind spacecraft. The entropy and complexity values are presented as coordinates on the CH plane for comparison among the different plasma environments and other fluctuation models. The solar wind is found to have the highest permutation entropy and lowest statistical complexity of the three data sets analyzed. Both laboratory data sets have larger values of statistical complexity, suggesting that these systems have fewer degrees of freedom in their fluctuations, with SSX magnetic fluctuations having slightly less complexity than the LAPD edge I(sat). The CH plane coordinates are compared to the shape and distribution of a spectral decomposition of the wave forms. These results suggest that fully developed turbulence (solar wind) occupies the lower-right region of the...Continue Reading

References

Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·X Calbet, R López-Ruiz
May 15, 2002·Physical Review Letters·Christoph Bandt, Bernd Pompe
Nov 13, 2007·Physical Review Letters·O A RossoM A Fuentes
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Jun 29, 2010·Journal of Neural Engineering·Duan LiJamie W Sleigh
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