Abstract
The nonlinear evolution of a single-wavelength, longitudinal flute mode with frequency near a harmonic of the cyclotron frequency is determined. It is shown that only a small-amplitude wave is needed to destroy the linearly coherent contributions of different gyrating particles to the perturbed charge density. This nonlinear smearing of the cyclotron resonance is accomplished by vortex filament motion of the hot particles in phase space, and leads to rapid stabilization and subsequent damping of the linearly unstable resonant modes that occur in hot-cold multicomponent loss-cone systems. In such a system with a typical hot-particle Larmor radius R, a mode with wave vector k gains energy from the low-velocity, inverted population hot particles until an energy is attained of the order (kR)−2 times the hot-particle kinetic energy. This field energy then decays, being absorbed by the high-velocity, normally populated hot particles.
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