On the von Karman-Howarth equations for Hall MHD flows
arXiv:0712.1525 · doi:10.1103/PhysRevE.77.015302
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.
11 pages
References in corpus (10)
- Interstellar Turbulence I: Observations and Processes
- Measurement of the electric fluctuation spectrum of magnetohydrodynamic turbulence
- Linear Analysis of the Hall Effect in Protostellar Disks
- Interstellar Turbulence II: Implications and Effects
- Observation of inertial energy cascade in interplanetary space plasma
- The Balbus-Hawley instability in weakly ionised discs
- Statistical anisotropy of magnetohydrodynamic turbulence
- Wave turbulence in incompressible Hall MHD
- The intracluster magnetic field power spectrum in Abell 2255
- Multi-scale Hall-MHD turbulence in the solar wind
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