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Translationally invariant cumulants in energy cascade models of turbulence

Hans C. Eggers·Thomas Dziekan·Martin Greiner
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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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Hans C. Eggers, Thomas Dziekan, Martin Greiner. 2001-02-11. Translationally invariant cumulants in energy cascade models of turbulence. https://doi.org/10.1016/s0375-9601(01)00113-x

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