The non-linear self-regulation of cosmic ray acceleration at shocks

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmic Rays, Particle Acceleration, Pressure Effects, Radiation Pressure, Shock Fronts, Energy Distribution, Plasma-Particle Interactions

Scientific paper

Time-dependent nonlinear numerical simulations of the acceleration of cosmic rays (CRs) at shock fronts are presented, with CR particles described by a multigroup diffusion equation with a momentum-dependent diffusion coefficient. It is suggested that high-Mach-number shocks existing on long time-scales and spatial-scales are probably CR-dominated, and that nonlinear feedback softens the CR spectrum at low momentum and hardens it at high momentum. It is noted that nonlinear softening of the spectrum at a few GeV increases when the CR distribution is allowed to extend to very high momentum. The spectral indices determined are consistent with synchrotron emission spectra from radio sources. Nonzero Alfven velocities are shown to result in significant background heating.

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