Time-dependent shock acceleration of energetic electrons including synchrotron losses

Details Time-dependent shock acceleration of energetic electrons including synchrotron losses Time-dependent shock acceleration of energetic electrons including synchrotron losses

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...360..387f&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 360, Sept. 10, 1990, p. 387-395.

Astronomy and Astrophysics

Astrophysics

13

Electron Radiation, Extragalactic Radio Sources, Synchrotron Radiation, Cosmic Rays, Particle Acceleration, Radiation Distribution, Radiation Transport

Scientific paper

The present investigation of the time-dependent particle acceleration problem in strong shocks, including synchrotron radiation losses, solves the transport equation analytically by means of Laplace transforms. The particle distribution thus obtained is then transformed numerically into real space for the cases of continuous and impulsive injections of particles at the shock. While in the continuous case the steady-state spectrum undergoes evolution, impulsive injection is noted to yield such unpredicted features as a pile-up of high-energy particles or a steep power-law with time-dependent spectral index. The time-dependent calculations reveal varying spectral shapes and more complex features for the higher energies which may be useful in the interpretation of outburst spectra.

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