The Stationary Statistics of a Turbulent Environment as an Attractor

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.