Diffusive Compression Acceleration and Turbulent Diffusion of Cosmic Rays

Physics

Scientific paper

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2104 Cosmic Rays, 2114 Energetic Particles, Heliospheric (7514)

Scientific paper

Multiple scales perturbation methods are used to study the transport and acceleration of energetic charged particles in a quasi-periodic, fluid velocity structures in one, two or three space dimensions, for cases where the spatial period of the velocity structure is much less than the diffusion-convection scale length of the background flow. The large scale transport equation obtained by averaging over the short scale velocity variations shows that the particles are accelerated stochastically due to the two-point correlations between the fluid velocity divergence at different points in the flow. The spatial diffusion tensor of low energy particles, with sufficiently small microscopic diffusion tensor elements, are effectively transported by turbulent diffusion, whereas higher energy particles, with a large effective diffusion coefficient are unaffected by turbulent diffusion. The formalism is generalized to describe particle transport in turbulent background flows. The form of the spatial turbulent diffusion tensor for both incompressible and compressible turbulence is discussed.

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