Nonlinear interaction between three kinetic Alfvén waves

Details Nonlinear interaction between three kinetic Alfvén waves Nonlinear interaction between three kinetic Alfvén waves

2006-02-14

arxiv.org/abs/physics/0602090v1

Physics

Plasma Physics

To appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2005.11.079

Using Hall-MHD theory, we focus on the resonant interaction between three kinetic Alfv\'{e}n waves. We thus derive three coupled equations which govern this process. It turns out that these equations contain the same coupling coefficient, directly showing that they satisfy the Manley-Rowe relations. The coupling coefficient can be written in a comparatively very simple form, that has not been deduced before. The decay rate, when a pump kinetic Alfv\'{e}n wave decays into two similar Alfv\'{e}n waves, is therefore easily estimated for plasmas of astrophysical interest.

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