Nonlinear diffusion equation for Alfvén wave turbulence

Details Nonlinear diffusion equation for Alfvén wave turbulence Nonlinear diffusion equation for Alfvén wave turbulence

Dec 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010sf2a.conf..299g&link_type=abstract

SF2A-2010: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics. Eds.: S. Boissier, M. Heydari-

Astronomy and Astrophysics

Astrophysics

Magnetohydrodynamics, Turbulence, Waves

Scientific paper

We discuss about the possibility to derive rigorously a nonlinear diffusion equation for incompressible MHD turbulence. The background of the analysis is the asymptotic Alfvén wave turbulence equations from which a differential limit is taken. The result is a universal diffusion-type equation in k-space which describes in a simple way and without free parameter the energy transport perpendicular to the external magnetic field B_0 for transverse fluctuations. It is compatible with both the thermodynamic equilibrium and the finite flux spectra derived by Galtier et al. (2000). This new system offers a powerful description of a wide class of astrophysical plasmas.

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