Two-fluid modelling of particle acceleration in modified non-relativistic shocks

Statistics – Computation

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Cosmic Rays, Nonrelativistic Mechanics, Particle Acceleration, Shock Wave Interaction, Two Fluid Models, Computational Astrophysics, Particle Diffusion

Scientific paper

In two-fluid analytical approaches to the modelling of particle acceleration in cosmic-ray modified shocks, the shock structure and the acceleration efficiency can be found as a function of the shock Mach number for a given shock velocity, from purely hydrodynamic considerations. Heretofore, two-fluid models have usually included no information about the possibility of particle escape from the shock region. Such escape from the environs of a non-relativistic shock creates small but significant anisotropies in the particle distribution. This paper addresses this deficiency in part by including particle anisotropies in a hydrodynamic determination of the shock structure. Modified shocks are examined here, and anisotropies consistent with the diffusion approximation are found to substantially alter the acceleration efficiency predictions of two-fluid models.

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