Rank-ordered multifractal spectrum for intermittent fluctuations.

The hallmark of nonlinear complexity phenomena in magnetohydrodynamic and plasma turbulence as well as all natural sciences is the appearance of intermittent fluctuating events. We introduce here a unique procedure that is both physically explicable and quantitatively accurate in deciphering the multifractal characteristics of intermittency. The generic character of the procedure provides a natural connection between the suggested spectrum based on rank order and the idea of one-parameter scaling for monofractals. We demonstrate the utility of this method using results obtained from a large scale two-dimensional magnetohydrodynamic simulation mimicking solar wind turbulence.