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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 8, issue 3
Nonlin. Processes Geophys., 8, 141–150, 2001
https://doi.org/10.5194/npg-8-141-2001
© Author(s) 2001. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Theory and simulation of Solar System Plasmas, No. 2

Nonlin. Processes Geophys., 8, 141–150, 2001
https://doi.org/10.5194/npg-8-141-2001
© Author(s) 2001. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  30 Jun 2001

30 Jun 2001

On wave turbulence in MHD

S. Galtier1,2, S. V. Nazarenko1, and A. C. Newell1 S. Galtier et al.
  • 1Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
  • 2Present address: Institut d’Astrophysique Spatiale, Bâtiment 121, Université Paris-Sud, F-91405 Orsay Cedex, France

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 B0. Similar to pure acoustic waves, a three-wave resonance between collinear wave vectors 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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