Propagation of cosmic rays, an analytical model

Physics

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Scientific paper

Supernovae are considered as the most probable sources of Galactic cosmic rays (CR). In this analytical approach, we investigate the influence of the discrete nature of this kind of CR-sources on the CR-propagation and spectrum measured at earth. We use a diffusion model with three independent spatial coordinates. As this is an analytical approach, we only consider the most important interactions with the interstellar medium: continuous and catastrophic losses. We assume a geometry of a thin disk, filled with gas and containing the sources, embedded in a halo, which is assumed to contain little or no gas. We present the solution for the Galactic disk and in the halo for arbitrary CR source distributions in the Galactic disk, both for the steady state and the time-dependent case. The aim is an analytical solution for the full system in both cases.

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