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| Paper: |
Numerical Modeling of Anomalous Transport of Cosmic Rays |
| Volume: |
488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013) |
| Page: |
17 |
| Authors: |
Fichtner, H.; Stern, R.; Effenberger, F. |
| Abstract: |
The diffusion of energetic particles in a turbulent plasma is a fundamental transport process not only in laboratory plasmas but also in astrophysical systems like the interstellar or interplanetary medium. There is reason to assume that the particle transport can not always be characterized as Gaussian diffusion but that so-called sub- and superdiffusion occur. As candidates for detecting such anomalously diffusing particles both traveling interplanetary shocks and the solar wind termination shock have been suggested. Following a presentation of some characteristics of anomalous transport as well as its treatment on the basis of fractional differential equations, the spatial diffusion of energetic particles accelerated at the termination shock is investigated. To this end an appropriate fractional diffusion-convection equation is formulated and semi-analytically as well as numerically solved. |
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