Diffusive shock acceleration of energetic electrons subject to synchrotron losses

Details Diffusive shock acceleration of energetic electrons subject to synchrotron losses Diffusive shock acceleration of energetic electrons subject to synchrotron losses

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...137..185w&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 137, no. 2, Aug. 1984, p. 185-201.

Astronomy and Astrophysics

Astrophysics

83

Cosmic Rays, Electron Acceleration, Supernova Remnants, Synchrotron Radiation, Astronomical Models, Energetic Particles, Fermi Surfaces, Galactic Nuclei, Integral Equations, Laplace Transformation, Linear Equations, Shock Wave Propagation

Scientific paper

Diffusive shock acceleration of energetic electrons at a plane shock is considered taking synchrotron losses into account. The momentum at which shock acceleration momentum gains are balanced by synchrotron losses is established, and steady-state solutions of the cosmic ray transport equation, with steady and continuous injection of electrons at the shock, are considered. The solution for the case where the diffusion coefficients on both sides of the shock are constant and there is a steady and continuous injection of monoenergetic particles at the shock is addressed. Examples of spectra for the case of monoenergetic injection at the shock are presented, and the dependence of the spectra on the physical parameters are investigated. An approximation scheme for the more general case where the diffusion coefficient is a function of momentum is presented.

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