, Volume 56, Issue 2, pp 101-113

The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles

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Abstract

For classicalN-particle systems with pair interactionN −1 \(\mathop \Sigma \limits_{1 \leqq i \leqq j \leqq N} \) ø(q iq i) the Vlasov dynamics is shown to be thew*-limit asN→∞. Propagation of molecular chaos holds in this limit, and the fluctuations of intensive observables converge to a Gaussian stochastic process.