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Lazarovici, Dustin; Pickl, Peter (2017): A Mean Field Limit for the Vlasov-Poisson System. In: Archive for Rational Mechanics and Analysis, Vol. 225, No. 3: pp. 1201-1231
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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+epsilon. 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.