“…Quasi-linear diffusion theory has been formulated to quantify the nonadiabatic changes of energetic electron fluxes, and diffusion models that are based on solving an electron Fokker-Planck equation have been developed [e.g., Albert et al, 2009;Subbotin et al, 2010;Subbotin and Shprits, 2012;Fok et al, 2008;Varotsou et al, 2008;Tao et al, 2008Tao et al, , 2009Tu et al, 2009Tu et al, , 2013Camporeale et al, 2013a;Glauert et al, 2014]. Typically, solving the Fokker-Planck equation involves using a numerical grid and finite-difference methods.…”