Application of the three-dimensional telegraph equation to cosmic-ray transport
Instrumentation and Methods for Astrophysics
2016-10-12 v1 High Energy Astrophysical Phenomena
Abstract
An analytical solution to the the three-dimensional telegraph equation is presented. This equation has recently received some attention but so far the treatment has been one-dimensional. By using the structural similarity to the Klein-Gordon equation, the telegraph equation can be solved in closed form. Illustrative examples are used to discuss the qualitative differences to the diffusion solution. The comparison with a numerical test-particle simulation reveals that some features of an intensity profile can be better explained using the telegraph approach.
Keywords
Cite
@article{arxiv.1606.08272,
title = {Application of the three-dimensional telegraph equation to cosmic-ray transport},
author = {R. C. Tautz and I. Lerche},
journal= {arXiv preprint arXiv:1606.08272},
year = {2016}
}
Comments
13 pages, 6 figures, accepted for publication in "Research in Astronomy and Astrophysics"