Two-fluid models of cosmic ray shock acceleration

Physics

Scientific paper

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72

Acceleration (Physics), Cosmic Rays, Shock Wave Interaction, Two Fluid Models, Diffusion Coefficient, Mach Number, Radiation Pressure

Scientific paper

The simple test-particle theory of cosmic ray acceleration by astrophysical shocks is examined. It is pointed out that a complete model of shock acceleration including a number of considered effects has yet to be given. However, simpler models can provide significant physical insight into the shock acceleration mechanism. The present investigation is concerned with an analysis of the simplest two-fluid model of a cosmic ray mediated shock front. It is demonstrated that conditions in the postshock fluid are not totally determined by the three parameters, gamma, delta, and mu, which characterize the incident flow. It is also necessary to specify one quantity which describes the full kinetic solution, such as the downstream specific heat ratio. The allowed range of this ratio corresponds directly to the freedom which exists in specifying both the injection rate and the spatial diffusion coefficient. The fluid approach is found to be of restricted usefulness.

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