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

Sunny W.Y. Tam, Tom Chang, Paul M. Kintner, Eric M. Klatt

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

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.

Original languageEnglish
Article number036414
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume81
Issue number3
DOIs
Publication statusPublished - 2010 Mar 26

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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