Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.215..341w&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 215, July 15, 1985, p. 341-352.
Astronomy and Astrophysics
Astronomy
8
Energetic Particles, Galactic Cosmic Rays, Particle Acceleration, Particle Diffusion, Shock Fronts, Charged Particles, Diffusion Coefficient, Energy Spectra, Momentum, Supernova Remnants, Transport Theory
Scientific paper
In the presently derived analytic solutions of the steady transport equation for diffusive particle acceleration in a modified, planar shock front having free escape boundaries, the fluid velocity profile through the shock transition decreases monotonically between the upstream and downstream boundaries. The spatial diffusion coefficient's spatial dependence is linked to that of the fluid velocity profile. Attention is given to the solution corresponding to monoenergetic particle injection at the shock front, with free particle escape at finite distances both upstream and downstream of the shock. The accelerated particle spectrum is dominated at high energies by an exponential cutoff, due to the competition between acceleration by the first-order Fermi mechanism and particle loss through the free escape boundaries.
Bogdan Thomas. J.
Lee Martin A.
Lerche Ian
Webb Gary M.
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