Cosmic rays at fluid discontinuities

Statistics – Computation

Scientific paper

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17

Computational Astrophysics, Cosmic Rays, Shock Discontinuity, Boltzmann Transport Equation, Charged Particles, Monte Carlo Method, Scattering, Shock Waves

Scientific paper

Cosmic-ray transport near discontinuities in the background fluid velocity is considered. Matching conditions for the cosmic-ray distribution are derived for both shear and compressive (shock) discontinuities, keeping terms to second order in the ratio of fluid speed to energetic-particle speed. Acceleration is found at shear discontinuities, which is not present in the first-order theory, and a modification of the matching condition at shocks. If there is no particle source concentrated at a shock, the new condition reduces to that obtained from first-order theory. Monte Carlo simulations show good agreement with the theory.

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