Particle acceleration and pitch angle transport near a thin shock, a compression region, and a structured shock

Details Particle acceleration and pitch angle transport near a thin shock, a compression region, and a structured shock Particle acceleration and pitch angle transport near a thin shock, a compression region, and a structured shock

Aug 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icrc....8.3461k&link_type=abstract

Proceedings of the 27th International Cosmic Ray Conference. 07-15 August, 2001. Hamburg, Germany. Under the auspices of the Int

Physics

3

Scientific paper

Particle acceleration at a thin shock, a compression region, or a structured shock with an oblique magnetic field is examined by solving an equation of pitch angle transport with a finite difference method, which includes an orbittracing routine to accurately treat pitch angle changes at the shock. For a shock or a thin compression, there are dramatic deviations from classical results based on the diffusion approximation. The recently discovered jump in the particle density just upstream of a shock is also found for a narrow compression region, as a density enhancement throughout the compression region. We refer to this as a "mirroring peak" because it arises from reflection and other pitch angle transport effects. Its amplitude (above the downstream density) increases for a lower particle velocity and decreases rapidly with increasing compression width. For a shock, the peak amplitude is ≈ 25 % for an ion energy of 4 MeV/nucleon or electron energy of 2 keV. At such a low energy, the steadystate spectral index hardens to 1.6. Calculations of the spectral hardening at compressions of various widths confirm that it can be attributed to pitch angle transport effects. Thus the study of first-order Fermi acceleration at oblique compressions can improve our understanding of acceleration at oblique shocks.

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