Translationally invariant cumulants in energy cascade models of turbulence

Abstract

In the context of random multiplicative energy cascade processes, we derive analytical expressions for translationally invariant one- and two-point cumulants in logarithmic field amplitudes. Such cumulants make it possible to distinguish between hitherto equally successful cascade generator models and hence supplement lowest-order multifractal scaling exponents and multiplier distributions.

Comments: 11 pages, 3 figs, elsart.cls included