The influence of large-angle scattering on Fermi acceleration at shocks

Statistics – Computation

Scientific paper

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Computational Astrophysics, Particle Acceleration, Particle Collisions, Plasma Turbulence, Shock Waves, Transport Theory, Angular Distribution, Extragalactic Radio Sources, Interplanetary Medium, Magnetohydrodynamic Stability, Radiative Transfer

Scientific paper

A transport equation in which both pitch-angle diffusion and large-angle scattering are taken into account is used to investigate the first-order Fermi acceleration of particles at a shock. An analytic expression for the spectral index of particles is obtained for the case of isotropic large angle scattering for nonrelativistic shocks. The spectral index of the accelerated particles for nonrelativistic and relativistic shocks is analyzed as a function of the relative contribution of large-angle scattering. A unique feature in the angular distribution at the shock is found which provides a strong indication of the importance of large angle scattering in particle transport in turbulent magnetized plasmas.

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