Exact scaling laws for 3D electron MHD turbulence

Details Exact scaling laws for 3D electron MHD turbulence Exact scaling laws for 3D electron MHD turbulence

Jan 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008jgra..11301102g&link_type=abstract

Journal of Geophysical Research, Volume 113, Issue A1, CiteID A01102

Physics

Plasma Physics

12

Nonlinear Geophysics: Turbulence (3379, 4568, 7863), Space Plasma Physics: Turbulence (4490), Interplanetary Physics: Interplanetary Magnetic Fields, Magnetospheric Physics: Magnetic Reconnection (7526, 7835)

Scientific paper

A von Kármán-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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