Non-linear theory of cosmic ray shocks including self-generated Alfven waves

Details Non-linear theory of cosmic ray shocks including self-generated Alfven waves Non-linear theory of cosmic ray shocks including self-generated Alfven waves

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...116..191m&link_type=abstract

Astronomy and Astrophysics, vol. 116, no. 2, Dec. 1982, p. 191-200.

Astronomy and Astrophysics

Astrophysics

178

Cosmic Rays, Magnetohydrodynamic Waves, Particle Acceleration, Shock Wave Propagation, Space Plasmas, Wave Generation, Equations Of State, Gas Dynamics, Magnetic Rigidity, Magnetohydrodynamic Flow, Nonlinear Equations, Wave Scattering

Scientific paper

Diffusive shock acceleration of cosmic rays is considered, including the scattering wave field in the dynamics; the nonlinear treatment also takes the back-reaction of the accelerated particles on the plasma flow into account. The governing equations are derived in a 'hydrodynamic' approximation, treating the cosmic rays also as a fluid. The scattering hydromagnetic waves are excited by the accelerated particles and adiabatically amplified in the broadened shock transition. The general steady state solutions are derived. It is shown that under many circumstances when the energy density of accelerated particles is large the fluctuation magnetic fields become comparable with or even larger than the average field in the shock transition. Unless there exists strong wave damping, this should naturally lead to preferential acceleration of high rigidity particles at the expense of low rigidity particles.

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