Simple analytical solutions for spherically symmetric production and modulation of energetic solar particles

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmic Rays, Interplanetary Medium, Particle Diffusion, Particle Production, Solar Corpuscular Radiation, Convective Flow, Galactic Radiation, Solar Wind

Scientific paper

Exact analytical solutions are presented for the standard time-independent spherically symmetric convection-diffusion-adiabatic deceleration equation governing the transport of cosmic rays in the interplanetary medium for the case in which particles are produced with spherical symmetry at the sun. It is assumed that the solar-wind speed is constant and radial, and that the spatial diffusion coefficient has a power-law dependence on momentum. The Green's function describing the modulation of a monoenergetic production of particles is presented. The solutions provide a useful basis for the study of time-integrated properties of energetic solar-flare particle spectra.

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