Cosmic-ray transport and acceleration

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Cosmic Rays, Mathematical Models, Particle Acceleration, Transport Theory, Wave-Particle Interactions, Electromagnetic Fields, Fokker-Planck Equation, Fourier Transformation, Magnetohydrodynamic Turbulence, Shock Fronts, Wave Scattering

Scientific paper

We review the transport and acceleration of cosmic rays concentrating on the origin of galactic cosmic rays. Quasi-linear theory for the acceleration rates and propagation parameters of charged test particles combined with the plasma wave viewpoint of modeling weak cosmic electromagnetic turbulence provides a qualitatively and quantitatively correct description of key observations. Incoporating finite frequency effects, dispersion, and damping of the plasma waves are essential in overcoming classical discrepancies with observations as the Kfit - Kql discrepancy of solar particle events. We show that the diffusion-convection transport equation in its general form contains spatial convection and diffusion terms as well as momentum convection and diffusion terms. In particular, the latter momentum diffusion term plays a decisive role in the acceleration of cosmic rays at super-Alfvenic supernova shock fronts, and in the acceleration of ultra-high-energy cosmic rays by distributed acceleration in our own galaxy.

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