Statistics – Computation
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...262..281d&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 262, no. 1, p. 281-294.
Statistics
Computation
19
Cosmic Rays, Diffusion Coefficient, Magnetohydrodynamic Waves, Particle Acceleration, Self Consistent Fields, Shock Wave Propagation, Astronomical Models, Computational Astrophysics, Magnetohydrodynamic Turbulence
Scientific paper
The self consistent evolution of 1D shock waves and energetic particles is considered. The particles gain energy by the diffusive shock acceleration mechanism and are therefore coupled to the gas through their scattering off MHD waves that are frozen into the local fluid frame. Such scattering is described in the particle transport equation by a spatial diffusion term with a coefficient that is taken to be strongly dependent on momentum, kappa varies as pv, the so-called Bohm limit. A numerical model is presented where the wide range of diffusion length scales introduced by such a coefficient can be accommodated. With this model the coupled system is studied from the gas-dominated to the cosmic-ray-dominated case.
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