Van Allen Probes Bibliography is from August 2012 through September 2021 Notice:

Convection Electric Fields and the Diffusion of Trapped Magnetospheric Radiation
Author  Birmingham, Thomas; 
Keywords  Radial Transport 
Abstract  We explore here the possible importance of timedependent convection electric fields as an agent for diffusing trapped magnetospheric radiation inward toward the earth. By using a formalism (Birmingham, Northrop, and FĂ¤lthammar, 1967) based on first principles, and by adopting a simple model for the magnetosphere and its electric field, we succeed in deriving a onedimensional diffusion equation to describe statistically the lossfree motion of mirroring particles with arbitrary but conserved values of the first two adiabatic invariants M and J. Solution of this equation bears out the fact that reasonable electric field strengths, correlated in time for no longer than the azimuthal drift period of an average particle, move particles toward the earth at a rate at least an order of magnitude faster than electric fields whose source is a fluctuating current on the magnetopause. 
Year of Publication  1969 
Journal  Journal of Geophysical Research 
Volume  74 
Number of Pages  21692181 
Section  
Date Published  05/1969 
ISBN  
URL  http://onlinelibrary.wiley.com/doi/10.1029/JA074i009p02169/abstract 
DOI  10.1029/JA074i009p02169 