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Computer simulations of magnetosonic waves, velocity-shell instabilities, and upper-hybrid heating show evidence of a general damping mechanism for large-amplitude electrostatic waves propagating perpendicular to a magnetic field: Particles trapped by a wave of frequency ω and phase velocity Vₚₕ see an electric field Vₚₕ×B, which accelerates them parallel to the wave front until the v×B force is large enough for detrapping. For ωωc, velocities as large as (ω4ωc)Vₚₕ can be attained, within a time ωct≈ω4ωc.
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Dawson et al. (1983) studied this question.
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