Onion-shell model of cosmic ray acceleration in supernova remnants

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmic Rays, Particle Acceleration, Supernova Remnants, Interstellar Matter, Mathematical Models, Power Spectra, Shock Fronts

Scientific paper

A method is devised to approximate the spatially averaged momentum distribution function for the accelerated particles at the end of the active lifetime of a supernova remnant. The authors confine themselves to the test particle approximation and oversimplify adiabatic losses, but include unsteady shock motion, evolving shock strength, and non-uniform gas flow effects on the accelerated particle spectrum. Monoenergetic (T0 = 1 keV) protons are injected at the shock front. It is found that the dominant effect on the resultant accelerated particle spectrum is a changing spectral index with shock strength. High energy particles are produced in early phases, and the resultant distribution function is a slowly varying power law αT-μ, (T = kinetic energy), 2.1 ≤ μ ≤ 2.3 over several orders of magnitude, independent of the specific details of the supernova remnant.

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