A Mean Field Limit for the Vlasov–Poisson System
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2017-09
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© 2017, Springer-Verlag Berlin Heidelberg. We present a probabilistic proof of the mean field limit and propagation of chaos N-particle systems in three dimensions with positive (Coulomb) or negative (Newton) 1/r potentials scaling like 1/N and an N-dependent cut-off which scales like N - 1 / 3 + ϵ . In particular, for typical initial data, we show convergence of the empirical distributions to solutions of the Vlasov–Poisson system with either repulsive electrical or attractive gravitational interactions.
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Lazarovici, D, and P Pickl (2017). A Mean Field Limit for the Vlasov–Poisson System. Archive for Rational Mechanics and Analysis, 225(3). 10.1007/s00205-017-1125-0 Retrieved from https://hdl.handle.net/10161/17108.
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