Magneto-atmospheric waves subject to Newtonian cooling

Statistics – Computation

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Computational Astrophysics, Linearity, Magnetohydrodynamics, Orbit Perturbation, Plasma Waves, Solar Oscillations, Space Plasmas, Energy Dissipation, Newton Methods, Plasma Cooling, Solar Magnetic Field, Specific Heat, Wave Functions

Scientific paper

We present a new class of analytic solutions for linear magneto-atmospheric waves in a stratified, isothermal atmosphere. This new class spans from the solutions found by Yu (1965) for a constant Alfven speed atmosphere to those of Nye & Thomas (1967 a,b) for an atmosphere with exponentially increasing Alfven speed. The inclusion of radiative dissipation in magneto-atmospheric wave problems - even in the over-simplified Newtonian cooling approximation - is of great importance in many applications. We show how the effects of Newtonian cooling can be incorporated in any isothermal magneto-atmospheric wave problem by letting the ratio of specific heats, gamma, be a complex, frequency dependent quantity. This technique is discussed in the context of the new solutions presented here. In particular, we discuss its application to the case studied by Souffrin (1966, 1972) and to the more general case of a constant Alfven speed atmosphere, where now three, rather than two regions of mainly propagating modes are found. In the case studied by Nye & Thomas, Newtonian cooling leads to a fast temporal decay of the eigenmodes.

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