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A weak turbulence theory for incompressible MHD

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arxiv astro-ph/0008148 v1 pith:5RL5ANUO submitted 2000-08-09 astro-ph

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 · ORCID
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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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  1. Sub-sonic compressible magnetohydrodynamic turbulence I. Alfv\'enic and fast-magnetosonic injection, amplitude dependence, and compressibility effects

    physics.plasm-ph 2026-08 conditional novelty 6.0 of 10

    In decaying sub-sonic MHD turbulence simulations, the amplitude and plasma beta, not the injection wave type, set the turbulent density fluctuation level, while curvature and mirror statistics change dramatically with...

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