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The telegraph approximation for focused cosmic-ray transport in the presence of boundaries

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.

preprint2015arXivOpen access
Yuri E. LitvinenkoFrederic EffenbergerReinhard Schlickeiser
physics.space-phastro-ph.HEastro-ph.SR
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Yuri E. LitvinenkoFrederic EffenbergerReinhard Schlickeiser

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