Time-dependent diffusive acceleration of test particles at shocks

Details Time-dependent diffusive acceleration of test particles at shocks Time-dependent diffusive acceleration of test particles at shocks

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.251..340d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 251, July 15, 1991, p. 340-350.

Astronomy and Astrophysics

Astronomy

27

Diffusion Coefficient, Magnetohydrodynamic Waves, Particle Acceleration, Power Spectra, Time Dependence, Heliosphere, Momentum

Scientific paper

A theoretical description is developed for the acceleration of test particles at a steady plane nonrelativistic shock. The mean and the variance of the acceleration-time distribution are expressed analytically for the condition under which the diffusion coefficient is arbitrarily dependent on position and momentum. The formula for an acceleration rate with arbitrary spatial variation in the diffusion coefficient developed by Drury (1987) is supplemented by a general theory of time dependence. An approximation scheme is developed by means of the analysis which permits the description of the spectral cutoff resulting from the finite shock age. The formulas developed in the analysis are also of interest for analyzing the observations of heliospheric shocks made from spacecraft.

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