Compound and Perpendicular Diffusion of Cosmic Rays

Mathematics – Probability

Scientific paper

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3265 Stochastic Processes (3235, 4468, 4475, 7857)

Scientific paper

In this paper we discuss compound and perpendicular diffusion of cosmic rays and field line random walk, based on a Chapman-Kolmogorov equation formulation, in which the probability distribution function (pdf) for cross-field particle transport is given as the convolution of the pdf for particle transport relative to the magnetic field and the pdf for the random walking magnetic field. The pdf for particle transport relative to the field includes the effects of parallel diffusion, local cross-field diffusion, advection and drift. The pdf for cross- field transport, in the case of zero local cross-field diffusion is sharply peaked about the field line where the particles are injected. The effective diffusion of particles across the field due to drifts and field line random walk and the case of compound diffusion are discussed.

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