A non-perturbative renormalization group study of the stochastic NavierStokes equation

Mejia-Monasterio, Carlos and Muratore-Ginanneschi, Paolo (2012). A non-perturbative renormalization group study of the stochastic NavierStokes equation. "Physical Review E", v. 86 (n. 1); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.86.016315.

Description

Title: A non-perturbative renormalization group study of the stochastic NavierStokes equation
Author/s:
  • Mejia-Monasterio, Carlos
  • Muratore-Ginanneschi, Paolo
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 16 July 2012
ISSN: 1539-3755
Volume: 86
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Ingeniería Rural [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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 nonperturbative approximation adapted to the zero-frequency sector of the theory in the parametric range of the Hölder exponent 4−2 ɛ 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 ɛ=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 ɛ dependence of the scaling dimension of the eddy diffusivity at ɛ=3/2 when, according to perturbative renormalization, the velocity field becomes infrared relevant.

More information

Item ID: 15614
DC Identifier: http://oa.upm.es/15614/
OAI Identifier: oai:oa.upm.es:15614
DOI: 10.1103/PhysRevE.86.016315
Official URL: http://pre.aps.org/abstract/PRE/v86/i1/e016315
Deposited by: Memoria Investigacion
Deposited on: 17 Jun 2013 14:59
Last Modified: 17 Dec 2018 07:34
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