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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.
Title: | A non-perturbative renormalization group study of the stochastic NavierStokes equation |
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Author/s: |
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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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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.
Item ID: | 15614 |
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DC Identifier: | https://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 |