Abstract

A fully nonlinear, time-asymptotic theory of nonlinear Landau damping and resonant particle trapping in finite-amplitude waves is presented. The virial theorem and the conservation of the parallel adiabatic invariant are used to determine the time-asymptotic distribution function. The effect of trapped particles on the nonlinear wave dynamics is highly non-trivial and forces to a significant departure from the conventional models of finite-amplitude waves.

PACS numbers: 52.35.Mw, 52.35.Nx, 47.65.+a, 52.35.Sb

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