Numerical Studies of Cosmic Ray Injection and Acceleration

Physics

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Scientific paper

We have developed a numerical scheme that incorporates a self-consistent cosmic-ray (CR hereafter) injection model into the combined gas dynamics and CR diffusionconvection code. Our hydro/CR code is designed to follow in a very cost-effective way the evolution of CR modified shocks by adopting subzone shock-tracking and multi-level adaptive mesh refinement techniques. The injection model is based on recent calculations of Malkov (1998) that considered the interactions of the suprathermal particles with self-generated MHD waves in quasi-parallel shocks. In this model, the particle injection is realized by filtering the diffusive flux of suprathermal particles across the shock to the upstream region according to a velocity-dependent transparency function, which represents the fraction of leaking particles. Thus, with this new code, we can eliminate a need to assume an injection rate as a free parameter. We have studied the CR injection and acceleration efficiencies for a wide range of shock Mach numbers and will discuss the preliminary results.

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