Diffusive cosmic-ray acceleration - Two-fluid models with in situ injection

Statistics – Computation

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Computational Astrophysics, Cosmic Rays, Diffuse Radiation, Particle Acceleration, Two Fluid Models, Astronomical Models, Distribution Functions, Radiation Pressure, Shock Waves

Scientific paper

An enhanced formulation of the two-fluid model for diffusive acceleration at shocks is presented which explicitly includes in situ injection of cosmic rays within the shock and allows the slope of the cosmic-ray momentum distribution to change across the shock. In addition, it is argued that the two-fluid model has applications even when the energy-weighted mean slope of the particle distribution function q is less than or equal to 4/3 or greater than or equal to 5/3, in contrast to the conclusion of Achterberg et al. (1984). The enhanced formulation is used to compare in steady-state shocks the efficiencies of acceleration in shocks with and without in situ injection. The present two-fluid model gives results consistent with more complete simulations.

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