Fermi acceleration by relativistic shock waves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Charged Particles, Extragalactic Radio Sources, Particle Acceleration, Propagation Velocity, Relativistic Particles, Shock Wave Propagation, Cosmic Rays, Energy Spectra, Radio Emission, Synchrotron Radiation

Scientific paper

This paper discusses the acceleration of charged particles by astrophysical shock waves of arbitrary strength. As in the non-relativistic case, an energy spectrum of power-law form is produced, the slope of which varies according to the type of shock being considered. General solutions for the propagation of relativistic shock waves in a variety of physical conditions are presented, and the energy spectra for the resulting cosmic rays are derived. For strong shocks, a synchrotron spectral index in the range 0.3-0.5 is produced for propagation velocities less than 0.9 c; higher spectral indices can be produced only be weak shocks. The application of this acceleration mechanism to extragalactic radio sources is discussed briefly.

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