Rank-ordered Multifractal Spectrum for Intermittent Fluctuations

Kavli Affiliate: Tom Chang

| First 5 Authors: Tom Chang, Cheng-chin Wu, , ,

| Summary:

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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