On the von Karman-Howarth equations for Hall MHD flows

Details On the von Karman-Howarth equations for Hall MHD flows On the von Karman-Howarth equations for Hall MHD flows

2007-12-10

arxiv.org/abs/0712.1525v1

Phys.Rev.E77:015302,2008

Astronomy and Astrophysics

Astrophysics

11 pages

Scientific paper

10.1103/PhysRevE.77.015302

The von Karman-Howarth equations are derived for three-dimensional (3D) Hall magnetohydrodynamics (MHD) in the case of an homogeneous and isotropic turbulence. From these equations, we derive exact scaling laws for the third-order correlation tensors. We show how these relations are compatible with previous heuristic and numerical results. These multi-scale laws provide a relevant tool to investigate the non-linear nature of the high frequency magnetic field fluctuations in the solar wind or, more generally, in any plasma where the Hall effect is important.

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