Hydromagnetic shock structure in the presence of cosmic rays
Abstract
The time asymptotic structure of a shock significantly modified by the back-reaction from the diffusive acceleration of cosmic rays is investigated. Making a physically plausible assumption about the diffusion, it is shown that for given upstream conditions and shock speed only a finite odd number of shock structures are possible; an explicit method of determining these is given (in many cases the solution is unique). The results of this nonlinear study are contrasted with those of the linear test-particle theory and shown to confirm the possibility of efficient particle acceleration in shocks.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- August 1981
- DOI:
- 10.1086/159159
- Bibcode:
- 1981ApJ...248..344D
- Keywords:
-
- Cosmic Rays;
- Magnetohydrodynamics;
- Particle Acceleration;
- Particle Diffusion;
- Shock Wave Profiles;
- Asymptotic Methods;
- Energetic Particles;
- High Energy Interactions;
- Mathematical Models;
- Propagation Velocity;
- Upstream;
- Space Radiation