Formation Process of Relativistic Electron Flux Through Interaction with Chorus Emissions in the Earth's Inner Magnetosphere

Abstract:

We perform test particle simulations of energetic electrons interacting with whistler-mode chorus emissions. We compute trajectories of a large number of electrons forming a delta function with the same energy and pitch angle. The electrons are launched at different locations along the magnetic field line and different timings with respect to a pair of chorus emissions generated at the magnetic equator. We follow the evolution of the delta function, and obtain a distribution function in energy and equatorial pitch angle, which is a numerical Green's function for one cycle of chorus wave-particle interaction. We obtain the Green's functions for the energy range 10 keV $\sim$ 6 MeV and all pitch angles greater than the loss cone angle. By taking the convolution integral of the Green's functions with the distribution function of the injected electrons repeatedly, we follow a long-time evolution of the distribution function. We find that the energetic electrons are accelerated effectively by relativistic turning acceleration and ultra-relativistic acceleration through nonlinear trapping by chorus emissions, and that these processes result in the rapid formation of a dumbbell distribution of highly relativistic electrons within a few minutes after the injection of tens of keV electrons.