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The Stationary Statistics of a Turbulent Environment as an Attractor

Edsel A. Ammons
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Abstract

A proposal for a calculational program in fluid turbulence is presented. It is proposed that the fluid probability density functional has an attractor for its time-evolution, just as the dynamical system itself has. The evolution of the fluid's statistics can be set up as a space-time path integral. Fluid space-time configuration sampling techniques naturally suggest a useful way, using an arbitrary initial statistics functional, to calculate averages.

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Edsel A. Ammons. 2003-06-04. The Stationary Statistics of a Turbulent Environment as an Attractor. https://arxiv.org/abs/physics/0202028

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