Nonlinear bounce resonant interaction between Alfven waves and geomagnetically trapped particles

Physics

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Magnetohydrodynamic Waves, Magnetospheric Instability, Particle Trajectories, Plasma-Particle Interactions, Radiation Belts, Asymptotic Methods, Damping, Equations Of Motion, Magnetic Resonance, Monochromatic Radiation, Nonlinear Systems, Steady State

Scientific paper

A system of equations is obtained which describes the motion of geomagnetically trapped particles under the action of an Alfven wave in the case of a low-beta magnetospheric plasma. The asymptotic 'averaging method' is used to investigate the dynamics of resonant particles in the field of a monochromatic Alfven wave; specifically, resonant-particle trajectories in the steady-state wave field are determined. The nonlinear damping rate of the Alfven wave due to bounce-drift resonance is calculated, and the results are applied to the problem of pulsation generation by ring-current protons. The steady state wave amplitude corresponding to saturation of a single-mode instability due to particle trapping in a plane defined by the second adiabatic invariant and an unidentified parameter is estimated.

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