# A fast point charge interacting with the screened Vlasov-Poisson system

@inproceedings{Hofer2022AFP, title={A fast point charge interacting with the screened Vlasov-Poisson system}, author={Richard Hofer and Raphael Winter}, year={2022} }

We consider the long-time behavior of a fast, charged particle interacting with an initially spatially homogeneous background plasma. The background is modeled by the screened Vlasov-Poisson equations, whereas the interaction potential of the point charge is assumed to be smooth. We rigorously prove the validity of the stopping power theory in physics, which predicts a decrease of the velocity V ( t ) of the point charge given by ˙ V ∼ −| V | − 3 V , a formula that goes back to Bohr (1915). Our…

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