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Threedimensional stochastic modeling of radiation belts in adiabatic invariant coordinates
Author  Zheng, Liheng; Chan, Anthony; Albert, Jay; Elkington, Scot; Koller, Josef; Horne, Richard; Glauert, Sarah; Meredith, Nigel; 
Keywords  adiabatic invariant coordinates; diffusion equation; fully 3D model; Radiation belt; stochastic differential equation 
Abstract  A 3D 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 3D diffusion tensor, including the radiallocal cross diffusion components. The correct form of the boundary condition at equatorial pitch angle α0=90\textdegree is also derived. The model is applied to a simulation of the October 2002 storm event. At α0 near 90\textdegree, our results are quantitatively consistent with GPS observations of phase space density (PSD) increases, suggesting dominance of radial diffusion; at smaller α0, the observed PSD increases are overestimated by the model, possibly due to the α0independent radial diffusion coefficients, or to insufficient electron loss in the model, or both. Statistical analysis of the stochastic processes provides further insights into the diffusion processes, showing distinctive electron source distributions with and without local acceleration. 
Year of Publication  2014 
Journal  Journal of Geophysical Research: Space Physics 
Volume  119 
Number of Pages  76157635 
Section  
Date Published  09/2014 
ISBN  
URL  http://doi.wiley.com/10.1002/jgra.v119.9 
DOI  10.1002/jgra.v119.910.1002/2014JA020127 