Interplanetary diffusion of solar cosmic rays - A new approximate analytic solution

Mathematics

Scientific paper

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Astronomical Models, Interplanetary Space, Particle Diffusion, Solar Cosmic Rays, Solar Flares, Adiabatic Conditions, Analysis (Mathematics), Approximation, Convection, Decay Rates, Deceleration, Exponential Functions, Monte Carlo Method, Solar Wind

Scientific paper

A very simple approximate analytic solution, accurate to the order of rV/K, is given for the interplanetary propagation of solar cosmic rays. The solution includes effects of convection, diffusion, and adiabatic deceleration. Comparison with previous numerical and Monte Carlo calculations shows that the solution is accurate for of at least about 5 x 10 the 20 sq cm/s. The model gives an exponential temporal decay for late times in long-lived events. Fits to the November 15, 1960, and November 22, 1977, ground-level events are given.

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