Litvinenko, Y. E., Effenberger, F., & Schlickeiser, R. (2015). The telegraph approximation for focused cosmic-ray transport in the presence of boundaries. Astrophysical Journal, 806:217. http://doi.org/10.1088/0004-637X/806/2/217
Permanent Research Commons link: https://hdl.handle.net/10289/9485
Diffusive cosmic-ray transport in nonuniform large-scale magnetic fields in the presence of boundaries is considered. Reflecting and absorbing boundary conditions are derived for a modified telegraph equation with a convective term. Analytical and numerical solutions of illustrative boundary problems are presented. The applicability and accuracy of the telegraph approximation for focused cosmic-ray transport in the presence of boundaries are discussed, and potential applications to modeling cosmic-ray transport are noted.
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