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We study a nonlinear effect on ion motion of an electrostatic wave propagating perpendicularly to a uniform magnetic field. When the wave near the ion cyclotron harmonics has sufficiently large amplitude, the trapped motions of hot ions (v_⊥>ωk_⊥) become stochastic in the region of appreciable width near the separatrix. Numerical calculations show the tail formation in a v₁ distribution and theoretically predicted upper bound conditioned by the amplitude.
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Fukuyama et al. (1977) studied this question.
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