Nonlinear magnetogravity waves in a low-beta plasma

Physics

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Boussinesq Approximation, Gravity Waves, Magnetic Field Configurations, Magnetohydrodynamic Turbulence, Plasma Waves, Geomagnetism, Nonlinear Evolution Equations, Self Consistent Fields

Scientific paper

A set of nonlinear equations for magnetogravity waves based on a reduced set of fluid variables is derived. The equations described the self-consistent time evolution of the density perturbation and the velocity and magnetic vector potential component in the direction along the horizontal background magnetic field. The Strauss-Boussinesq approximations are shown to be applicable if the vertical gravitational scale height, H, is much larger than the typical vertical wavlength, lambda(z) under consideration and if the aspect ratio of the fluctuation wavelengths parallel to the background magnetic field to the perpendicular wavelengths is even larger than H(0)/lambda(z). A stability analysis of plane harmonic waves suggests that as a result of the parameteric decay instability, the energy of buoyancy fluctuations is eventually converted into magnetic fluctuation energy of Alfven waves with large vertical wave number.

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