Rank-ordered Multifractal Spectrum for Intermittent Fluctuations

Details Rank-ordered Multifractal Spectrum for Intermittent Fluctuations Rank-ordered Multifractal Spectrum for Intermittent Fluctuations

2007-12-27

arxiv.org/abs/0712.4256v1

Phys.Rev.E77:045401,2008

Astronomy and Astrophysics

Astrophysics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.77.045401

We describe a new method that is both physically explicable and quantitatively accurate in describing the multifractal characteristics of intermittent events based on groupings of rank-ordered fluctuations. The generic nature of such rank-ordered spectrum leads it to a natural connection with the concept of one-parameter scaling for monofractals. We demonstrate this technique using results obtained from a 2D MHD simulation. The calculated spectrum suggests a crossover from the near Gaussian characteristics of small amplitude fluctuations to the extreme intermittent state of large rare events.

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