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Exact scaling laws for 3D electron MHD turbulence

TitreExact scaling laws for 3D electron MHD turbulence
Type de publicationJournal Article
Year of Publication2008
AuteursGaltier, S
JournalJournal of Geophysical Research-Space Physics
Volume113
Date PublishedJan
ISBN Number0148-0227
Numéro d'accèsWOS:000252184000005
Résumé

A von Karman-Howarth equation is derived for three-dimensional (3D) electron magnetohydrodynamics (MHD) in the case of an homogeneous and isotropic turbulence. From this exact relation, we then derive the "one-sixths'' law for the third-order correlation tensors; this is the analog of the Kolmogorov 4/5ths law for hydrodynamic turbulence. We show how this result is compatible with direct numerical simulations where a well-extended k (-7/ 3) energy spectrum is found. The observation of this exact relation in geophysical flows may be used as an evidence of the applicability of the electron MHD model.

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