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We consider solutions of the repulsiveÌýVlasov-PoissonÌýsystem which are a combination of aÌýpointÌýchargeÌýand a small density with respect to Liouville measure (a ``cloud''), and we show that these solutions exist globally, that the electric field decays at an optimal rate and that the particle distribution converges along a modified scattering dynamics. This follows by a Lagrangian study of the linearized equation, which is integrated by means of an asymptotic action-angle coordinate transformation, and an Eulerian study of the nonlinear dynamic which exhibits the ``mixing'' mechanism responsible for the asymptotic behavior.

This is joint work with Klaus Widmayer (U. Zurich) and Jiaqi Yang (ICERM).