A weak turbulence theory for incompressible MHD

2); (2) Cassini OCA; A.C. Newell (1); A. Pouquet (2) ((1) Mathematics Institute; Nice); S. Galtier (1; S.V. Nazarenko (1); University of Warwick

arxiv: astro-ph/0008148 · v1 · submitted 2000-08-09 · 🌌 astro-ph

A weak turbulence theory for incompressible MHD

S. Galtier (1 , 2) , S.V. Nazarenko (1) , A.C. Newell (1) , A. Pouquet (2) ((1) Mathematics Institute , University of Warwick , (2) Cassini OCA , Nice) This is my paper

classification 🌌 astro-ph

keywords energyequationsincompressiblekineticspectraturbulenceweakamount

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We derive a weak turbulence formalism for incompressible MHD. Three-wave interactions lead to a system of kinetic equations for the spectral densities of energy and helicity. We find energy spectra solution of the kinetic equations. The constants of the spectra are computed exactly and found to depend on the amount of correlation between the velocity and the magnetic field. Comparison with several numerical simulations and models is also made.

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A weak turbulence theory for incompressible MHD

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