Stationary, cosmic-ray-modified shock fronts

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Plasma, Cosmic Rays, Fluid Flow, Shock Fronts, Transport Properties, Diffusion Coefficient, Magnetohydrodynamic Waves, Perturbation Theory, Plasma Turbulence

Scientific paper

The efficiency with which cosmic rays are accelerataed by shock fronts can be investigated by the study of stationary solutions of the combined hydrodynamic and transport equations. This is usually done in the two-fluid approximation in which it has been found that one-dimensional structures consist of a precursor, followed by a gas subshock. In this approximation there can be no subsequent 'post-cursor', a property which determines the overall efficiency. However, the two fluid approach involves ad hoc assumptions about the effective spatial diffusion coefficient. By using a perturbative treatment of the full transport equation, this paper examines the general conditions under which post-cursors are permitted. It is found that the conclusions of the two-fluid approach hold in most circumstances.

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