On the von Karman-Howarth equations for Hall MHD flows
Astrophysics
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.0712.1525,
title = {On the von Karman-Howarth equations for Hall MHD flows},
author = {S. Galtier},
journal= {arXiv preprint arXiv:0712.1525},
year = {2008}
}
Comments
11 pages