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

Sunny W. Y. Tam, Tom Chang, Paul M. Kintner, and Eric M. Klatt
Phys. Rev. E 81, 036414 – Published 26 March 2010

Abstract

The rank-ordered multifractal analysis (ROMA), a recently developed technique that combines the ideas of parametric rank ordering and one-parameter scaling of monofractals, has the capabilities of deciphering the multifractal characteristics of intermittent fluctuations. The method allows one to understand the multifractal properties through rank-ordered scaling or nonscaling parametric variables. The idea of the ROMA technique is applied to analyze the multifractal characteristics of the auroral zone electric-field fluctuations observed by the SIERRA sounding rocket. The observed fluctuations span across contiguous multiple regimes of scales with different multifractal characteristics. We extend the ROMA technique such that it can take into account the crossover behavior—with the possibility of collapsing probability distribution functions—over these contiguous regimes.

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  • Received 27 October 2009

DOI:https://doi.org/10.1103/PhysRevE.81.036414

©2010 American Physical Society

Authors & Affiliations

Sunny W. Y. Tam1,2, Tom Chang3, Paul M. Kintner4, and Eric M. Klatt5

  • 1Plasma and Space Science Center, National Cheng Kung University, Tainan 70701, Taiwan
  • 2Institute of Space, Astrophysical and Plasma Sciences, National Cheng Kung University, Tainan 70101, Taiwan
  • 3Kavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 4School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA
  • 5Applied Physics Laboratory, Johns Hopkins University, Laurel, Maryland 20723, USA

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Issue

Vol. 81, Iss. 3 — March 2010

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