Cosmic Ray Acceleration at Quasi-Parallel Plane Shocks

Physics

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Scientific paper

We have studied the CR injection and acceleration efficiencies at cosmic shocks by performing numerical simulation of CR modified, quasi-parallel, shocks in 1D plane-parallel geometry for a wide range of shock Mach numbers and presho ck conditions. The shock formation simulation includes a thermal leakage injection model that transfers a small proportion of the thermal proton flux through the shock into low energy CRs. We adopted the Bohm diffusion model for CRs, based on the hypothesis that strong Alfv´n waves are self-generated by e streaming CRs. 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. We found that both injection and acceleration efficiencies increase with shock Mach number, and that CRs can absorb up to 60 % of initial upstream shock kinetic energy in the strong shock limit with an associated CR particle fraction of 10-4 - 10-3 .

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