On wave turbulence in MHD

S. Galtier; S. V. Nazarenko; A. C. Newell

doi:10.5194/npg-8-141-2001

On wave turbulence in MHD

S. Galtier, S. V. Nazarenko, A. C. Newell

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We describe the fundamental differences between weak (wave) turbulence in incompressible and weakly compressible MHD at the level of three-wave interactions. The main difference is in the structure of the resonant manifolds and the mechanisms of redistribution of spectral densities along the applied magnetic field B_o. Similar to pure acoustic waves, a three-wave resonance between collinear wavevectors is observed but, in addition, we also have a resonance through tilted planes and spheres. The properties of resonances and their consequences for the asymptotics are also discussed.

Original language	English (US)
Pages (from-to)	141-150
Number of pages	10
Journal	Nonlinear Processes in Geophysics
Volume	8
Issue number	3
DOIs	https://doi.org/10.5194/npg-8-141-2001
State	Published - 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Geophysics
Geochemistry and Petrology

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AU - Newell, A. C.

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AB - We describe the fundamental differences between weak (wave) turbulence in incompressible and weakly compressible MHD at the level of three-wave interactions. The main difference is in the structure of the resonant manifolds and the mechanisms of redistribution of spectral densities along the applied magnetic field Bo. Similar to pure acoustic waves, a three-wave resonance between collinear wavevectors is observed but, in addition, we also have a resonance through tilted planes and spheres. The properties of resonances and their consequences for the asymptotics are also discussed.

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On wave turbulence in MHD

Abstract

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