The CosmicRay Shock Structure Problem for Relativistic Shocks
Abstract
The time asymptotic behaviour of a relativistic (parallel) shock wave significantly modified by the diffusive acceleration of cosmicrays is investigated by means of relativistic hydrodynamical equations for both the cosmicrays and thermal gas. The form of the shock structure equation and the dispersion relation for both long and short wavelength waves in the system are obtained. The dependence of the shock acceleration efficiency on the upstream fluid spped, long wavelength Mach number and the ratio N = P_{co/cP} sub co+P_{go)(Psub} co and P_{go} are the upstream cosmicray and thermal gas pressures respectively) are studied.
 Publication:

19th International Cosmic Ray Conference (ICRC19), Volume 3
 Pub Date:
 August 1985
 Bibcode:
 1985ICRC....3..107W
 Keywords:

 Acceleration (Physics);
 Cosmic Rays;
 Gases;
 Hydrodynamic Equations;
 Shock Waves;
 Efficiency;
 Gas Pressure;
 Mach Number;
 Nonlinearity;
 Ratios;
 Time;
 Space Radiation