Rank-ordered multifractal analysis for intermittent fluctuations with global crossover behavior
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Tam-2010-Rank-ordered multifr.pdf
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Author(s)
Tam, Sunny W. Y.
Chang, Tom
Kintner, Paul M.
Klatt, Eric M.
Date Issued
March 2010
Journal
Physical Review E
Publisher
American Physical Society
Citation
Tam, Sunny W. Y. et al. “Rank-ordered multifractal analysis for intermittent fluctuations with global crossover behavior.” Physical Review E 81.3 (2010): 036414. © 2010 The American Physical Society.
Version
Final published version
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.
MIT Department
MIT Kavli Institute for Astrophysics and Space Research
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.81.036414
