Scale-invariant multiplier distributions in turbulence

Abstract

A family of scale-invariant, base-dependent, multiplier distributions is measured for the turbulence dissipation field in the atmospheric surface layer. The existence of these distributions implies the existence of the more traditional multifractal scaling functions, and we compute both positive and negative parts of the f(\ensuremath{\alpha}) curve. The results support the conjecture of universality in the scaling properties of small-scale turbulence. A simple cascade model based on the measured multiplier distributions is shown to possess several advantages over previously considered models.