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Conditional probability distributions of a turbulent cascade

Authors: Rudolf Friedrich; Joachim Peinke;

Conditional probability distributions of a turbulent cascade

Abstract

Statistical properties of a turbulent cascade are evaluated by considering the joint probability distribution p(v 1, L 1; v 2, L 2) for two velocity increments v 1, v 2 of different lenght scales L 1, L 2. We present experimental evidence that the conditional probability distribution p(v 2, L 2|v 1, L 1) obeys a Chapman-Kolmogorov equation. We evaluate the Kramers-Moyal coefficients and show that the third and fourth order coefficients vanish. The turbulent cascade is described by a drift and diffusion coefficient and the joint probability distributions obey a Fokker-Planck equation. We calculate the drift and diffusion coefficients and discuss their relationship to universal behaviour in the scaling region of the turbulent cascade.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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