The acceleration of cosmic rays in shock fronts. II

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmic Rays, Particle Acceleration, Relativistic Particles, Shock Fronts, Bow Waves, Energy Spectra, Particle Density (Concentration), Radio Sources (Astronomy), Supernova Remnants, Synchrotron Radiation

Scientific paper

The acceleration to relativistic energies of the high-energy tail of the particle distribution produced by a shock front is discussed. In order to be accelerated, particles need be able to pass through the shock without being strongly deflected. It is argued, using earth's bow shock as an example, that a shock front produces large numbers of protons, and probably electrons also, which satisfy this condition. The resulting energy spectrum of these initially nonrelativistic particles is calculated. It yields an estimate of the density of cosmic-ray particles in a shocked gas and indicates that a large proportion of the random energy produced by a shock is given to accelerated particles. The synchrotron radio emission from the energetic electrons in a shocked gas is calculated, and the theoretical and observed flux densities of two supernova remnants (Tycho's SNR and Cas A) are compared and found to agree satisfactorily. The implications for the minimum energy of radio sources are considered, and the effect of multiple shocks on the cosmic-ray density evaluated.

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