2012Monthly Notices of the Royal Astronomical SocietyOpen access

Basic properties of magnetohydrodynamic turbulence in the inertial range

Andrey Beresnyak

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Abstract

We revisit the issue of the spectral slope of magnetohydrodynamic (MHD) turbulence in the inertial range and argue that the numerics favour a Goldreich–Sridhar −5/3 slope rather than a −3/2 slope. We also perform precision measurements of the anisotropy of MHD turbulence and determine the anisotropy constant CA= 0.34 of Alfvénic turbulence. Together with the previously measured Kolmogorov constant CK= 4.2, or 3.3 for a purely Alfvénic case, it constitutes a full description of the MHD cascade in terms of spectral quantities, which is of high practical value for astrophysics.

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What this paper is about

We revisit the issue of the spectral slope of magnetohydrodynamic (MHD) turbulence in the inertial range and argue that the numerics favour a Goldreich–Sridhar −5/3 slope rather than a −3/2 slope. We also perform precision measurements of the anisotropy of MHD turbulence and determine the anisotropy constant CA= 0.34 of Alfvénic turbulence. Together with the previously measured Kolmogorov constant CK= 4.2, or 3.3 for a purely Alfvénic case, it constitutes a full description of the MHD cascade in terms of spectral quantities, which is of high practical value for astrophysics.

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Available abstract

We revisit the issue of the spectral slope of magnetohydrodynamic (MHD) turbulence in the inertial range and argue that the numerics favour a Goldreich–Sridhar −5/3 slope rather than a −3/2 slope. We also perform precision measurements of the anisotropy of MHD turbulence and determine the anisotropy constant CA= 0.34 of Alfvénic turbulence. Together with the previously measured Kolmogorov constant CK= 4.2, or 3.3 for a purely Alfvénic case, it constitutes a full description of the MHD cascade in terms of spectral quantities, which is of high practical value for astrophysics.

Key concepts: Physics, Magnetohydrodynamic turbulence, Turbulence, Magnetohydrodynamics, Magnetohydrodynamic drive, Anisotropy, Cascade, Constant (computer programming)

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