Mathematics – Probability
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...362..419w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 362, Oct. 20, 1990, p. 419-433. Research supported by DFG.
Mathematics
Probability
4
Electrons, Energetic Particles, Particle Acceleration, Shock Wave Propagation, Shock Waves, Supernova Remnants, Synchrotron Radiation
Scientific paper
The diffusive shock acceleration of energetic electrons at a plane shock is studied by means of the method of generations developed by Petukhov et al. (1986), where the particles are binned according to the number of particle acceleration cycles. The method emphasizes the cyclic character of the shock acceleration process, and takes into account the particle energy increment per cycle, the energy loss per cycle, and the escape probability of particles downstream of the shock. In the limit of a small fractional momentum gain per cycle, the method reproduces the known steady-state semianalytic solution for constant diffusion coefficients on both sides of the shock. It is demonstrated that the method may also be applied to time-dependent shock-acceleration problems.
Fritz Klaus-Dieter
Webb Gary M.
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