Translationally invariant cumulants in energy cascade models of turbulence

Details Translationally invariant cumulants in energy cascade models of turbulence Translationally invariant cumulants in energy cascade models of turbulence

2000-05-20

arxiv.org/abs/nlin/0005044v2

Physics Letters A281, 249-255 (2001)

Nonlinear Sciences

Chaotic Dynamics

11 pages, 3 figs, elsart.cls included

Scientific paper

10.1016/S0375-9601(01)00113-X

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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