Mathematical formulation of scatter-free propagation of solar cosmic rays

Physics

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Mathematical Models, Particle Motion, Phase-Space Integral, Solar Cosmic Rays, Solar Flares, Transport Properties, Anisotropy, Interplanetary Medium, Laplace Transformation, Particle Collisions, Scatter Propagation, Solar Protons, Time Dependence

Scientific paper

The observations of strong persistent velocity anisotropies in solar flare events demand a mathematical theory closer to the extreme of scatter-free (deterministic) propagation rather than diffusive (stochastic) transport, since the latter breaks down as inferred mean-free-paths exceed 0.1 AU. Equations are derived for the time-dependent phase-space density, and Laplace transform techniques are used to obtain solutions under rather general conditions. The case of an Archimedean spiral field has been solved numerically, and the results compared with observations from Mariner and Explorer spacecraft of nearly 0.4 MeV proton intensity and anisotropy histories. These can both be replicated if the inner boundary of the modulation region is placed beyond 2 AU.

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