Diffusive shock acceleration by multiple shock fronts with differing properties

Astronomy and Astrophysics – Astronomy

Scientific paper

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Energy Spectra, Galactic Cosmic Rays, Particle Acceleration, Particle Diffusion, Shock Fronts, Shock Waves, Asymptotic Methods, Interstellar Matter, Spectral Energy Distribution, Synchrotron Radiation, Wave Propagation

Scientific paper

The effect of diffusive shock acceleration on a distribution of particles is explored for multiple shocks, taking into account adiabatic expansion between the shocks. Specifically, the spectral index is calculated numerically for two cases: a sequence of identical shocks, and a sequence of pairs of shocks with alternating shock strength. How these two cases evolve to the asymptotic limit is examined, and it is shown that the evolution of the paired-shock case can be described by a sequence of identical shocks with shock strength equal to the mean of the two.

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