Numerical modeling of radiation belt diffusion equations using layer methods

Physics

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2720 Energetic Particles: Trapped, 2730 Magnetosphere: Inner, 2753 Numerical Modeling, 2774 Radiation Belts, 7867 Wave/Particle Interactions (2483, 6984)

Scientific paper

A new code using layer methods is presented to solve radiation belt diffusion equations, and used to explore effects of cross diffusion on electron fluxes. Previous results indicate that numerical problems arise when solving diffusion equations with cross diffusion using simple finite difference methods. We show that layer methods, which are based on stochastic differential equations, are capable of solving diffusion equations with cross diffusion and are also generalizable to 3D. We use our layer code to explore effects of including cross diffusion using two chorus wave models and a combined magnetosonic wave and hiss wave model (MH wave model). We show that cross diffusion is important for all three wave models but with different effects on electron fluxes. For the chorus wave models, cross diffusion is more important for higher energy particles at lower pitch angles, while for the MH wave model, cross diffusion is more important for higher energy particles at higher pitch angles. These results show that cross diffusion is not ignorable and should be included when calculating radiation belt electron fluxes.

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