[P-EM12] Dynamics of the Inner Magnetospheric System

[PEM12-09] Nonlinear wave-particles interaction in radiation belts: how can we include it to global models?

★Invited Papers

*Anton Artemyev^1,2, Anatoly Neishtadt^2,3, Alexei Vasiliev², Xiao-Jia Zhang¹, Didier Mourenas⁴, Dmitri Vainchtein^5,2 (1.Institute of Geophysics and Planetary Physics, UCLA, Los Angeles, California 90095, USA, 2.Space Research Institute of the Russian Academy of Sciences (IKI), 84/32 Profsoyuznaya Str., Moscow 117997, Russia, 3.Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom, 4.Laboratoire Mati`ere sous Conditions Extremes, Paris-Saclay University, CEA, Bruy`eres-le-Chatel, France, 5.Nyheim Plasma Institute, Drexel University, Camden, NJ, USA)

Keywords:radiation belts, wave-particle interaction, nonlinear resonances

The resonant wave-particle interaction is known to be one of the main drivers of dynamics of energetic electron fluxes in the Earth’s radiation belts. The quasi-linear diffusion theory describes a sufficiently weak resonant scattering in energy/pitch-angle space and operates with a Fokker-Planck diffusion equation for the charged particle distribution function. In contrast to this description, the nonlinear resonant interact includes effects of phase trapping that assumes a fast transport in energy/pitch-angle space, when even a single resonant interaction changes significantly the electron's energy/pitch-angle. This essentially non-diffusive process cannot be directly included into the Fokker-Planck equation. This presentation reviews recent results for the mapping approach for a system with nonlinear resonant interaction. The main advances of this approach are the possibility to consider effects of many nonlinear resonances and to simulate the evolution of the resonant particle ensemble on long time ranges. For illustrative purposes we consider the system with resonant relativistic electrons and whistler-mode waves.