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Rank-ordered multifractal analysis for intermittent fluctuations with global crossover behavior.

Sunny W Y Tam1, Tom Chang, Paul M Kintner

  • 1Plasma and Space Science Center, National Cheng Kung University, Tainan 70701, Taiwan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary

Rank-ordered multifractal analysis (ROMA) deciphers complex electric-field fluctuations in auroral zones. This enhanced method reveals multifractal properties across different scale regimes, improving our understanding of space weather dynamics.

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Area of Science:

  • Space Physics and Electrodynamics
  • Nonlinear Dynamics and Complex Systems

Background:

  • Intermittent fluctuations in natural phenomena often exhibit complex multifractal characteristics.
  • Traditional fractal analysis methods may not fully capture the intricate scaling properties of such fluctuations.
  • Rank-ordered multifractal analysis (ROMA) offers a novel approach to deciphering these complex dynamics.

Purpose of the Study:

  • To apply the rank-ordered multifractal analysis (ROMA) technique to investigate the multifractal properties of auroral zone electric-field fluctuations.
  • To extend the ROMA method to account for crossover behavior and probability distribution function collapsing across multiple scale regimes.

Main Methods:

  • Utilized the rank-ordered multifractal analysis (ROMA) technique, combining parametric rank ordering and monofractal scaling.
  • Analyzed electric-field fluctuation data from the SIERRA sounding rocket in the Earth's auroral zone.
  • Extended ROMA to incorporate crossover phenomena and probability distribution function analysis across different scales.

Main Results:

  • The auroral zone electric-field fluctuations exhibit distinct multifractal characteristics across multiple contiguous scale regimes.
  • The extended ROMA technique successfully identified and characterized the crossover behavior within these regimes.
  • Demonstrated the capability of ROMA to analyze complex, multi-regime scaling properties of intermittent fluctuations.

Conclusions:

  • ROMA is an effective tool for analyzing the multifractal nature of complex space plasma fluctuations.
  • The extended ROMA provides deeper insights into the scale-dependent dynamics and crossover behaviors in auroral electric fields.
  • This research enhances the understanding of intermittent turbulence in geospace environments.