Time-dependent Green's functions of the cosmic ray equation of transport

Abstract

Two spherically symmetric time-dependent Green's functions of the equation of transport for cosmic rays in the interplanetary region are derived by transform techniques. The solar wind velocity is assumed radial and of constant speedV. In the first model the radial diffusion coefficient κ=κ0r (κ0 constant), and in the second solution κ=κ0= constant. The solutions are for monoenergetic, impulsive release of particles from a fixed heliocentric radius. Integration of the solutions over timet, fromt=0 tot=∞, gives the steady-state Green's functions obtained previously.