The role of non-linear Landau damping in cosmic ray shock acceleration

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Rays, Landau Damping, Magnetohydrodynamic Waves, Particle Acceleration, Diffusion Coefficient, Power Spectra, Supernovae

Scientific paper

The role played by the nonlinear Landau damping of an Alfven wave power spectrum in determining the time interval over which a sufficiently small cosmic ray diffusion coefficient can be maintained is analytically investigated along with the corresponding maximum cosmic ray energy that can be achieved in the cosmic ray acceleration process associated with supernova blast waves. It is found that the maximum energy is a function not only of the relative wave power but also of its distribution in wave number and can have a considerable variation ranging from about 100 GeV to about 20,000 GeV depending on the choice of parameters. It is also found that the characteristic decay time is typically of the order of 1500 yr but in fact is much shorter for both high and low energies. Consequently the wave power can only be maintained at adequate levels in young supernovae by wave amplification effectively combatting wave damping.

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