Physics
Scientific paper
May 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.232..323a&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 232, May 15, 1988, p. 323-337.
Physics
5
Magnetic Effects, Particle Acceleration, Plasma-Particle Interactions, Shock Wave Propagation, Stellar Physics, Charged Particles, Lines Of Force, Monte Carlo Method, Power Spectra, Stellar Magnetic Fields, Supernova Remnants
Scientific paper
The theory of particle acceleration by shocks propagating through a plasma with disordered magnetic fields is considered. The fact that particles can be trapped in magnetic structures advected across the shock limits the energy gain in the acceleration process, through the finite shock crossing time. This leads to a cut-off in the energy spectrum determined by the length of the magnetic structure, the shock speed and the diffusion coefficient of the energetic particles. The energy spectrum resulting from shock acceleration in a plasma containing a self-similar set of (turbulent) magnetic field loops is calculated using a Monte Carlo technique. It is shown that for an 'open' field distribution, which contains many long field lines, the resultant spectrum is close to the power law which is valid for shock acceleration in an ordered magnetic field. If the field distribution is 'closed' so that most of the volume is pervaded by small magnetic flux cells, the efficiency of shock acceleration is greatly diminished.
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