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Radial Diffusion Coefficient for Electrons at 1.76 < L < 5
Author  Newkirk, L.; Walt, M.; 
Keywords  Radial Transport 
Abstract  Radial diffusion by nonconservation of the third adiabatic invariant of particle motion is assumed in analyzing experiments in which electrons appeared to move across field lines. Timedependent solutions of the FokkerPlanck diffusion equation are obtained numerically and fitted to the experimental results by adjusting the diffusion coefficient. Values deduced for the diffusion coefficient vary from 1.3 \texttimes 105 RE\texttwosuperior/day at L = 1.76 to 0.10 RE\texttwosuperior/day at L = 5. In the interval 2.6 < L < 5, the coefficient varies as L10\textpm1. Assuming a constant electron source of arbitrary magnitude at L = 6 and the above diffusion coefficients, the equatorial equilibrium distribution is calculated for electrons with energies above 1.6 Mev. The calculation yields an outer belt of electrons whose radial distribution is in good agreement with the observed belt. The calculated distribution also exhibits an inner belt at L ≈ 1.5. However, the calculated intensity of the inner belt relative to the outer belt is several orders of magnitude smaller than the experimental ratio. 
Year of Publication  1968 
Journal  Journal of Geophysical Research 
Volume  73 
Number of Pages  72317236 
Section  
Date Published  12/1968 
ISBN  
URL  http://onlinelibrary.wiley.com/doi/10.1029/JA073i023p07231/abstract 
DOI  10.1029/JA073i023p07231 