Cosmic ray spectrum produced by supernova remnants with an upper limit on wave dissipation

Astronomy and Astrophysics – Astrophysics

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Cosmic Rays, Power Spectra, Shock Wave Attenuation, Supernova Remnants, Energetic Particles, Magnetohydrodynamic Waves, Particle Energy, Stellar Models

Scientific paper

This paper extends previous test particle calculations for the cosmic-ray spectrum produced by SNR shock waves. The extension includes the effect of self-excited upstream magnetic field fluctuations and their nonlinear dissipation on the spectrum of accelerated protons and its upper momentum cutoff. Since the wave power spectrum depends on the number of accelerated particles, it is also necessary to limit the number of injected particles in order to fulfill energy flux constraints. To obtain an upper bound on the damping effects, an upper limit to the nonlinear damping decrement is used. The calculated particle spectrum released at the end of the SNR evolution is compared with the inferred interstellar cosmic ray source spectrum. Except for well known problems regarding the maximum particle energy to which the spectrum extends, even this pessimistic calculation provides an approximately consistent comparison. Thus, within the limitations of test particle theory, SNRs remain the prime candidates for the interstellar cosmic ray population below 100-1000 TeV/n.

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