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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 i−q 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.

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Authors and Affiliations

  1. Physics Department, ETH, CH-8093, Zürich, Switzerland

    W. Braun & K. Hepp

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  1. W. Braun
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  2. K. Hepp
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Communicated by J. L. Lebowitz

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Braun, W., Hepp, K. The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles. Commun.Math. Phys. 56, 101–113 (1977). https://doi.org/10.1007/BF01611497

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  • DOI: https://doi.org/10.1007/BF01611497

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