Hydromagnetic shock structure in the presence of cosmic rays
Abstract
The time asymptotic structure of a shock significantly modified by the backreaction 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 testparticle 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