First-order Fermi acceleration at oblique relativistic magnetohydrodynamic shocks

Details First-order Fermi acceleration at oblique relativistic magnetohydrodynamic shocks First-order Fermi acceleration at oblique relativistic magnetohydrodynamic shocks

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.251..438b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 251, Aug. 1, 1991, p. 438-448.

Statistics

27

Oblique Shock Waves, Radio Galaxies, Relativistic Velocity, Acceleration (Physics), Fermi-Dirac Statistics, Magnetohydrodynamics, Shock Wave Propagation

Scientific paper

First-order Fermi acceleration at oblique relativistic magnetohydrodynamic (MHD) shock fronts is investigated. The jump conditions at the shock are solved using a full relativistic equation of state and allowing for various possible downstream conditions. Having obtained solutions to the jump conditions, the spectral indices of electrons accelerated by the shock front through the first-order Fermi mechanism are obtained by employing two methods: a Monte Carlo simulation and the semi-analytic theory of Kirk and Heavens. Good agreement is found for the case where irregularities in the magnetic field are assumed to be small. It is found that synchrotron spectral indices in the range of 0 to 0.5 are expected for oblique relativistic MHD shocks, unless the Alfven Mach number is not much greater than unity.

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