Monoenergetic-source solutions of the steady-state cosmic-ray equation of transport

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Cosmic Rays, Interplanetary Space, Particle Energy, Transport Properties, Boltzmann Transport Equation, Laplace Transformation, Particle Diffusion, Point Sources, Solar Wind Velocity

Scientific paper

A non spherically-symmetric monoenergetic-point-source solution of the steady-state equation of transport for cosmic-rays in the interplanetary region, in which monoenergetic particles are released isotropically and continuously from a fixed heliocentric position is derived by a Laplace transform method. The solution is for a spherically-symmetric model of the propagating region incorporating anisotropic diffusion, with a diffusion tensor symmetric about the radial direction, and the solar wind velocity is radial and of constant speed V. The spherically-symmetric monoenergetic- source solution of Webb and Gleeson (1973) and of Toptygin (1973) is regained from the spherically- symmetric component of the point-source solution

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