Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...240..178m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 240, no. 1, Dec. 1990, p. 178-190. Research supported by CAPES and CNPq.
Astronomy and Astrophysics
Astrophysics
8
Magnetohydrodynamic Waves, Oblique Shock Waves, Particle Acceleration, Cosmic Rays, Shock Wave Interaction, Upstream
Scientific paper
The structure equation and the corresponding jump relations for MHD oblique shocks are deduced in the hydrodynamic approximation, taking into account the nonlinear back-reaction of both energetic particles and self-generated Alfven waves. It is found that saturation of the waves increases the compression of the shock and decreases the acceleration efficiency. The efficiency increases with increasing far upstream nonthermal fraction of the particle pressure. Multiple solutions are obtained for quasi-parallel shocks in an intermediate range of the Mach number far upstream with respect to the total sound velocity. The angular range is strongly dependent on the ratio of the far upstream thermal particle pressure to magnetic pressure. For quasi-parallel shocks, a minimum efficiency is obtained at a low Mach number at the transition between solutions with and without a subshock.
Medina-Tanco Gustavo A.
Opher Reuven
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