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Van Allen Probes Bibliography is from August 2012 through September 2021
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Three-dimensional stochastic modeling of radiation belts in adiabatic invariant coordinates
A 3-D model for solving the radiation belt diffusion equation in adiabatic invariant coordinates has been developed and tested. The model, named Radbelt Electron Model, obtains a probabilistic solution by solving a set of It\^o stochastic differential equations that are mathematically equivalent to the diffusion equation. This method is capable of solving diffusion equations with a full 3-D diffusion tensor, including the radial-local cross diffusion components. The correct form of the boundary condition at equatorial pitch ...
Zheng, Liheng; Chan, Anthony; Albert, Jay; Elkington, Scot; Koller, Josef; Horne, Richard; Glauert, Sarah; Meredith, Nigel;
Published by: Journal of Geophysical Research: Space Physics Published on: 09/2014
YEAR: 2014   DOI: 10.1002/jgra.v119.910.1002/2014JA020127
adiabatic invariant coordinates; diffusion equation; fully 3-D model; Radiation belt; stochastic differential equation