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math.AP2020
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
Adolfo Arroyo-Rabasa, Raphael Winter
We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screene…
math-ph2020
Interacting particle systems with long-range interactions: scaling limits and kinetic equations
Alessia Nota, Juan J. L. Velázquez, Raphael Winter
The goal of this paper is to describe the various kinetic equations which arise from scaling limits of interacting particle systems. We provide a formalism which allows us to deter…