Monte Carlo simulation of diffusive particle acceleration in shock waves with oblique magnetic fields

Details Monte Carlo simulation of diffusive particle acceleration in shock waves with oblique magnetic fields Monte Carlo simulation of diffusive particle acceleration in shock waves with oblique magnetic fields

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995mnras.275.1077n&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 275, Issue 4, pp. 1077-1092.

Astronomy and Astrophysics

Astronomy

18

Acceleration Of Particles, Magnetic Fields, Scattering, Shock Waves, Cosmic Rays

Scientific paper

Using Monte Carlo simulation, the phase-space distribution function of diffusively accelerated particles in shock waves with oblique magnetic fields is calculated. We adopt test particle approximation and adiabaticity at the shock crossing. Both large-angle scattering and pitch-angle scattering are examined as possible diffusion processes. We calculate the distribution function for a shock speed of 0.1c, a compression ratio of 4.0, and various values of cosPhi_up, where Phi_up is the angle between the magnetic field and shock normal in the upstream rest frame. From the calculated distribution function, we obtain the spectral index and the acceleration time-scale. The spectral index lies in the range 1.5<=alpha<=2.1 in the case of the large-angle scattering for a reasonable obliqueness, and becomes large for extremely oblique shocks. For the pitch-angle scattering it lies in the range 1.0<=alpha<=2.1, which is quite similar to the earlier result of Kirk & Heavens. The resultant acceleration time becomes short as cosPhi_up decreases, and for cosPhi_up<=0.5 it is much shorter than the estimate based on the diffusion convection equation. It is one or two orders of magnitude shorter than that for the parallel shock. In general, pitch-angle scattering gives a flatter spectrum and a shorter acceleration time than large-angle scattering.

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