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Kinetic equation for nonlinear resonant wave-particle interaction
J. M. Albert, X. Tao, J. Bortnik, Y. Omura, D. Nunn, and D. Summers, Dynamics of the Earth's Radiation Belts and Inner Magnetosphere ( American Geophysical Union, 2013), pp. 243–264.
R. C. Davidson, Physics of Nonneutral Plasmas, 2nd ed. ( Imperial College Press/World Scientific Publishing, London, UK, 2001).
D. Dolgopyat, Repulsion from Resonances, Memoires de la Société Mathématique de France Vol. 128 (Société Mathématique de France, 2012).
W. E. Drummond and D. Pines, Nucl. Fusion Suppl. 3, 1049 (1962).
V. I. Karpman and D. R. Shklyar, Sov. JETP 35, 500 (1972).
A. I. Neishtadt, Hamiltonian Systems with Three or More Degrees of Freedom, NATO ASI Series C 533 ( Kluwer, Dordrecht, 1999), p. 193.
Y. Omura, Y. Miyashita, M. Yoshikawa, D. Summers, M. Hikishima, Y. Ebihara, and Y. Kubota, J. Geophys. Res. 120, 9545, doi:10.1002/2015JA021563 (2015).
V. V. Solovev and D. R. Shkliar, Sov. JETP 63, 272–277 (1986).
V. Y. Trakhtengerts and M. J. Rycroft, Whistler and Alfvén Mode Cyclotron Masers in Space ( Cambridge University Press, 2008).
A. A. Vedenov, E. Velikhov, and R. Sagdeev, Nucl. Fusion Suppl. 2, 465 (1962).
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We investigate the nonlinear resonant wave-particle interactions including the effects of particle (phase) trapping, detrapping, and scattering by high-amplitude coherent waves. After deriving the relationship between probability of trapping and velocity of particle drift induced by nonlinear scattering (phase bunching), we substitute this relation and other characteristic
equations of wave-particle interaction into a kinetic equation for the particle distribution function. The final equation has the form of a Fokker-Planck equation with peculiar advection and collision terms. This equation fully describes the evolution of particle momentum distribution due to particle diffusion,
nonlinear drift, and fast transport in phase-space via trapping. Solutions of the obtained kinetic equation are compared with results of test particle simulations.
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