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

Astronomy and Astrophysics – Astrophysics

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Cosmic Rays, Green'S Functions, Interplanetary Medium, Transport Theory, Bessel Functions, Diffusion Coefficient, Solar Wind Velocity, Time Dependence

Scientific paper

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 speed V. In the first model the radial diffusion coefficient K = KOr (K~ constant), and in the second solution K = 1<0 = constant. The solutions are for monoenergetic, impulsive release of particles from a fixed heliocentric radius. Integration of the solutions over time t, from t 0 to t = ~, gives the steady-state Green's functions obtained previously

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