Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...300..605m&link_type=abstract
Astronomy and Astrophysics, v.300, p.605
Astronomy and Astrophysics
Astrophysics
75
Shock Waves, Acceleration Of Particles, Cosmic Rays
Scientific paper
We have extended the theory of diffusive particle acceleration at parallel shocks to the low energy end where the spectrum matches the thermal plasma. The standard theory ceases to work in this region due to the high anisotropy of the distribution function, and replaces the kinetics of the particles there by a crude parameterization which is commonly referred to as "injection". We develop an analytical formalism, which treats injection in terms of thermal particles leaking from downstream and recrossing the shock front until they have gained energies acceptable for the standard description. This allows one to relate the injection rate to the hydrodynamic parameters of the subshock. In a quasilinear description the upstream pitch angle scattering of ions, not of electrons, is provided by the unstable growth of MHD waves due to the presence of the "warm beam" of ions, leaking from the downstream plasma.
Malkov M. A.
Voelk Heinrich J.
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