A Fokker-Planck equation for modeling charged particle evolution due to tight magnetic field line curvature.

Physics

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2716 Energetic Particles, Precipitating, 2720 Energetic Particles, Trapped, 2730 Magnetosphere--Inner

Scientific paper

We derive friction and diffusion coefficients for a Fokker-Planck equation for magnetically trapped charged particles whose evolution is strongly influenced by the magnetic field line curvature (FLC). Our derivation uses a new empirically derived model for changes in the first adiabatic invariant, μ , due to FLC, and assumes that the particle's gyrophase is randomized by the effect of waves between equatorial passes, causing random changes in μ . This allows us to ignore the KAM surfaces and makes the resulting diffusion rates upper bounds on the equilibrium field Hamiltonian system. We reduce the Fokker-Planck equation to a diffusion equation, and find two classes of lowest order eigenfunction solutions. Using the diffusion rates calculated from these eigenfunction solutions, we show that transient proton belts and anomalous cosmic rays are the most likely radiation belt populations to be influenced by magnetic field line curvature scattering of μ .

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