HR: 14:55h
AN: SM43E-05    [Abstracts]
TI: Simulation of Radiation Belt Diffusion Using SDE (Stochastic Differential Equation) Methods
AU: * Chan, A A
EM: aac@rice.edu
AF: Rice University, Department of Physics and Astronomy 6100 Main Street, Houston, TX 77005-1892, United States
AU: Tao, X
EM: xtao1012@gmail.com
AF: Rice University, Department of Physics and Astronomy 6100 Main Street, Houston, TX 77005-1892, United States
AU: Albert, J
EM: Jay.Albert@hanscom.af.mil
AF: Air Force Research Lab, 29 Randolph Road, Hanscom AFB, MA 01731-3010, United States
AU: Miller, J
EM: millerja@uah.edu
AF: University of Alabama in Huntsville, Department of Physics 301 Sparkman Drive, Huntsville, AL 35899, United States
AB: 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.
DE: 2730 Magnetosphere: inner
DE: 2753 Numerical modeling
DE: 2774 Radiation belts
SC: SPA-Magnetospheric Physics [SM]
MN: 2007 Fall Meeting