“…Regarding how electrons are accelerated to ultrarelativistic energies in the radiation belts, several mechanisms have been considered to be potentially important. Although energetic electron injections during substorms or enhanced convection provide seed electrons (from tens of keV to hundreds of keV) [Miyoshi et al, 2003;Baker and Kanekal, 2008;Thorne, 2010;Boyd et al, 2014;Dai et al, 2014;Jaynes et al, higher energies [Hudson et al, 1999;Mathie and Mann, 2000;Perry et al, 2005;Ukhorskiy et al, 2009], but this process alone is unlikely to account for the observed outer radiation belt electron dynamics which often exhibits growing radial peaks in electron phase space density (PSD) at ultrarelativistic energies in the heart of the radiation belts [Green and Kivelson, 2004;Iles et al, 2006;Chen et al, 2007;Turner et al, 2014;Reeves et al, 2013;Thorne et al, 2013a;Kanekal et al, 2015]. This suggests that an internal heating process is operating, and the potential candidates for this local acceleration include energy diffusion by chorus and magnetosonic (MS) waves [e.g., Summers et al, 2002;Horne et al, 2005aHorne et al, , 2005bHorne et al, , 2007Thorne et al, 2013a;Ma et al, 2016].…”