Self-consistent shock structure in the presence of cosmic rays and Alfven waves

Physics

Scientific paper

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Convective Flow, Cosmic Rays, Magnetohydrodynamic Flow, Magnetohydrodynamic Waves, Plasma Diffusion, Shock Waves, Adiabatic Conditions, Differential Equations, Integral Equations

Scientific paper

The structure of a parallel shock including the back reaction from cosmic rays and Alfven waves generated by the streaming instability were investigated. An integral of the wave growth equation which describes how the wave magnetic pressure is amplified by both adiabatic and instability effects is obtained. The results imply that the overall efficiency of the conversion of flow energy to cosmic ray energy may only become high provided that the wave power is saturated at some modest level by nonlinear effects.

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