Physics
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007agufmsm43e..05c&link_type=abstract
American Geophysical Union, Fall Meeting 2007, abstract #SM43E-05
Physics
2730 Magnetosphere: Inner, 2753 Numerical Modeling, 2774 Radiation Belts
Scientific paper
In this work we seek to improve space weather modeling by developing a useful new numerical tool for radiation belt modeling. Specifically, we make use of a large body of existing mathematical research which shows that radiation belt diffusion equations of the Fokker-Planck form are exactly equivalent to sets of stochastic differential equations (SDEs), and we adopt numerical methods of solving sets of SDEs which in turn provide solutions of the corresponding radiation belt diffusion equation. SDEs will be described and Monte Carlo methods of solution will be presented. The main emphasis is on the SDE methods, but we will also show some recent SDE solutions of the energy-pitch-angle quasilinear diffusion equation for cyclotron-resonant interactions of relativistic electrons with whistler-mode chorus waves.
Albert Jacques
Chan Anthony A.
Miller Jason J.
Tao Xiaoping
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