Third-order Elsässer moments in axisymmetric MHD turbulence

Sébastien Galtier

doi:10.1016/j.crhy.2010.11.006

Third-order Elsässer moments in axisymmetric MHD turbulence
[Moments dʼElsässer du troisième ordre en turbulence MHD axisymétrique]

Sébastien Galtier ^1,²

¹ Univ Paris-Sud, institut dʼastrophysique spatiale, UMR 8617, bâtiment 121, 91405 Orsay cedex, France
² Institut universitaire de France

Comptes Rendus. Physique, Propagation and plasmas: new challenges, new applications, Volume 12 (2011) no. 2, pp. 151-159.

Résumé
Abstract

La turbulence MHD incompressible est étudiée en présence dʼun champ magnétique uniforme $B_{0}$ . Une telle situation est décrite dans lʼespace des corrélations par une relation de divergence qui exprime la conservation statistique du flux dʼénergie dʼElsässer à travers la zone inertielle. Nous faisons lʼansatz que lʼanisotropie, observée quand $B_{0}$ est suffisamment fort, implique un feuilletage de lʼespace des corrélations. Une conséquence directe est la possibilité dʼobtenir une nouvelle loi vectorielle pour les moments dʼElsässer dʼordre trois qui est paramétrisée par lʼintensité de lʼanisotropie. Nous utilisons lʼhypothèse dʼéquilibre critique pour fixer ce paramètre et trouver une expression unique.

Incompressible MHD turbulence is investigated under the presence of a uniform magnetic field $B_{0}$ . Such a situation is described in the correlation space by a divergence relation which expresses the statistical conservation of the Elsässer energy flux through the inertial range. The ansatz is made that the development of anisotropy, observed when $B_{0}$ is strong enough, implies a foliation of space correlation. A direct consequence is the possibility to derive a vectorial law for third-order Elsässer moments which is parametrized by the intensity of anisotropy. We use the so-called critical balance assumption to fix this parameter and find a unique expression.

Publié le : 2011-03-01

DOI : 10.1016/j.crhy.2010.11.006

Keywords: MHD, Solar wind, Turbulence
Mots-clés : MHD, Turbulence, Vent solaire

Affiliations des auteurs :

Sébastien Galtier ^{1, 2}

¹ Univ Paris-Sud, institut dʼastrophysique spatiale, UMR 8617, bâtiment 121, 91405 Orsay cedex, France
² Institut universitaire de France

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     author = {S\'ebastien Galtier},
     title = {Third-order {Els\"asser} moments in axisymmetric {MHD} turbulence},
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     pages = {151--159},
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Sébastien Galtier. Third-order Elsässer moments in axisymmetric MHD turbulence. Comptes Rendus. Physique, Propagation and plasmas: new challenges, new applications, Volume 12 (2011) no. 2, pp. 151-159. doi : 10.1016/j.crhy.2010.11.006. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2010.11.006/

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