Wave mixing of magnetohydrodynamic waves

Details Wave mixing of magnetohydrodynamic waves Wave mixing of magnetohydrodynamic waves

Jun 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..471..441w&link_type=abstract

The solar wind nine conference. AIP Conference Proceedings, Volume 471, pp. 441-444 (1999).

Computer Science

Sound

Magnetohydrodynamics And Plasmas, Solar Wind Plasma, Sources Of Solar Wind

Scientific paper

A formalism for magnetohydrodynamic (MHD) wave interactions in one Cartesian space dimension is developed using multiple scales perturbation methods. In particular, wave mixing equations describing the mutual interaction of Alfvén, magnetoacoustic, and entropy waves due to large scale gradients in the background flow are obtained. The waves are assumed to propagate along the x-axis of a rectangular, Cartesian coordinate system OXYZ, and the background flow depends on x and time t. Equations are obtained for both the strictly hyperbolic case, where all the wave speeds are distinct, and also for the degenerate eigenvalue cases k∥B and k⊥B, where k is the wave vector, and B is the background magnetic field induction. The Alfvén waves are modified by their interaction with the magnetoacoustic and entropy waves due to wave mixing, only if the background flow has non-zero field aligned vorticity (B.∇×u≠0) and/or non-zero field aligned electric current (B.∇×B≠0). The relation of these equations to the well known wave mixing equations for Alfvén waves, and Alfvénic turbulence in the Solar Wind, and equations for the wave mixing of sound waves and entropy waves in gas dynamics are discussed.

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