Vol 16, No 10

Application of the three-dimensional telegraph equation to cosmic-ray transport

Robert Tautz, Ian Lerche


Abstract An analytical solution to 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 from the diffusion solution. A comparison with a numerical test-particle simulation reveals that some features of an intensity profile can be better explained using the telegraph approach.


Keywords plasmas — turbulence — magnetic field — diffusion — solar wind

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