Translationally invariant cumulants in energy cascade models of turbulence
Hans C. Eggers, Thomas Dziekan, Martin Greiner
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.
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