A non-perturbative renormalization group study of the stochastic Navier--Stokes equation

Details A non-perturbative renormalization group study of the stochastic Navier--Stokes equation A non-perturbative renormalization group study of the stochastic Navier--Stokes equation

2012-02-21

arxiv.org/abs/1202.4588v1

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 16 pages, 5 figures

Scientific paper

We study the renormalization group flow of the average action of the stochastic Navier--Stokes equation with power-law forcing. Using Galilean invariance we introduce a non-perturbative approximation adapted to the zero frequency sector of the theory in the parametric range of the H\"older exponent $4-2\varepsilon$ of the forcing where real-space local interactions are relevant. In any spatial dimension $d$, we observe the convergence of the resulting renormalization group flow to a unique fixed point which yields a kinetic energy spectrum scaling in agreement with canonical dimension analysis. Kolmogorov's -5/3 law is, thus, recovered for $\varepsilon=2$ as also predicted by perturbative renormalization. At variance with the perturbative prediction, the -5/3 law emerges in the presence of a saturation in the $\varepsilon$-dependence of the scaling dimension of the eddy diffusivity.

Affiliated with

Also associated with

No associations

Rating

A non-perturbative renormalization group study of the stochastic Navier--Stokes equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A non-perturbative renormalization group study of the stochastic Navier--Stokes equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A non-perturbative renormalization group study of the stochastic Navier--Stokes equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423335