“…It is thought to contribute to electron acceleration (up to ∼ MeV energies) and losses into the ionosphere (Lyons and Thorne, 1973), especially during geomagnetic disturbances (see Horne, 2002;Chen et al, 2007;Shprits et al, 2008b). Since increases in the energetic electron flux are hazardous to satellites (Baker, 2002), manned space missions, or can drastically affect atmospheric chemistry (Thorne, 1977), it is crucial to improve the existing numerical models that specify and predict the dynamics of radiation belts (Bourdarie et al, 1996;Li et al, 2001;Glauert and Horne, 2005;Summers et al, 2007;Fok et al, 2008;Mourenas et al, 2012). These models are based on the quasi-linear approach where resonant wave-particle interactions are described in terms of particle pitch angle and energy diffusion (Kennel and…”