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arXiv · 1502.04608

A mean field limit for the Vlasov-Poisson system

Dustin Lazarovici·Peter Pickl
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Abstract

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.

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Dustin Lazarovici, Peter Pickl. 2015-02-16. A mean field limit for the Vlasov-Poisson system. https://arxiv.org/abs/1502.04608

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