When analyzing systems governed by Coulomb-interaction, we are faced with the problem of infinite reach: A localized perturbation has a significant influence over arbitrarily large distances. However, in many physically relevant cases the influence of a perturbation is immediately shielded by the response of the system, and the interaction becomes effectively of short range. This effect is known as Debye screening in plasma physics. The onset of Debye screening has been proved for the Gibbs distribution by Brydges and Federbush. For systems out of equilibrium, mathematically rigorous results are scarce. We prove (exponential) Debye screening for the perturbation induced by a point charge in the nonlinear Vlasov-Poisson system. Joint work with Adolfo Arroyo-Rabasa.
