Rank-ordered Multifractal Spectrum for Intermittent Fluctuations

TL;DR

This paper introduces a new physically interpretable method for analyzing the multifractal nature of intermittent fluctuations, demonstrated on 2D MHD simulation data, revealing a transition from Gaussian to extreme intermittent states.

Contribution

It presents a novel rank-ordered multifractal spectrum technique that connects with one-parameter scaling and accurately characterizes intermittent events.

Findings

Spectrum indicates crossover from Gaussian to intermittent states

Method is physically explicable and quantitatively accurate

Demonstrated on 2D MHD simulation data

Abstract

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.