Bonn 2020 – scientific programme

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EP: Fachverband Extraterrestrische Physik

EP 4: Sun and Heliosphere II

EP 4.6: Talk

Wednesday, April 1, 2020, 12:00–12:15, H-HS VIII

Nonlinear diffusion of energetic particles — •Dominik Walter — Ruhr-Universität Bochum

In recent years the nonlinearity of the cosmic ray transport in various astrophysical environments has been emphasized. While nonlinearity is mostly often described by mutually coupled equations for the dynamics of the thermal plasma and the cosmic ray transport or for the transport of the plasma waves and the cosmic rays, we study the case of a single but nonlinear advection-diffusion equation. The latter can be approximatively solved analytically or semi-analytically, which has the advantage that these solutions are easy to use and, thus, can facilitate a quantitative comparison to data. We present a variety of possible solution strategies, ranging from exact solutions for a diffusion-only equation, to integral mehtods and finally an expanding strategy, that solves the problem using fundamental solutions. For the latter case we will also look at a radially symmetric model.