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

@article{Braun1977TheVD,
  title={The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles},
  author={W. Braun and K. Hepp},
  journal={Communications in Mathematical Physics},
  year={1977},
  volume={56},
  pages={101-113}
}
  • W. Braun, K. Hepp
  • Published 1977
  • Physics
  • Communications in Mathematical Physics
AbstractFor classicalN-particle systems with pair interactionN−1 $$\mathop \Sigma \limits_{1 \leqq i \leqq j \leqq N} $$ ø(qi−qi) 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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