Stochastic relativistic shock-surfing acceleration

Details Stochastic relativistic shock-surfing acceleration Stochastic relativistic shock-surfing acceleration

2004-07-30

arxiv.org/abs/astro-ph/0407645v2

Astrophys.J. 613 (2004) 622

Astronomy and Astrophysics

Astrophysics

20 pages, 6 figures, accepted by ApJ; this version corrects a few minor typographical errors

Scientific paper

10.1086/422832

We study relativistic particles undergoing surfing acceleration at perpendicular shocks. We assume that particles undergo diffusion in the component of momentum perpendicular to the shock plane due to moderate fluctuations in the shock electric and magnetic fields. We show that dN/dE, the number of surfing-accelerated particles per unit energy, attains a power-law form, dN/dE \propto E^{-b}. We calculate b analytically in the limit of weak momentum diffusion, and use Monte Carlo test-particle calculations to evaluate b in the weak, moderate, and strong momentum-diffusion limits.

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