Particle acceleration in step function shear flows - A microscopic analysis

Astronomy and Astrophysics – Astrophysics

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Cosmic Rays, Energetic Particles, Particle Acceleration, Shear Flow, Earth Magnetosphere, Monte Carlo Method, Protons, Radiation Transport, Solar Wind

Scientific paper

The transport of energetic particles in a moving, scattering fluid, which has a large shear in its velocity over a distance small compared with the scattering mean free path is discussed. The analysis is complementary to an earlier paper by Earl, Jokipii, and Morfill (1988), which considered effects of more-gradual shear in the diffusion approximation. The case in which the scattering fluid undergoes a step function change in velocity, in the direction normal to the flow is considered. An analytical, approximate calculation and a Monte Carlo analysis of particle motion are presented. It is found that particles gain energy at a rate proportional to the square of the magnitude of the velocity change.

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