Communications in Mathematical Physics

, Volume 56, Issue 2, pp 101–113

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

  • W. Braun
  • K. Hepp
Article

DOI: 10.1007/BF01611497

Cite this article as:
Braun, W. & Hepp, K. Commun.Math. Phys. (1977) 56: 101. doi:10.1007/BF01611497

Abstract

For classicalN-particle systems with pair interactionN−1\(\mathop \Sigma \limits_{1 \leqq i \leqq j \leqq N} \) ø(qiqi) 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.

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • W. Braun
    • 1
  • K. Hepp
    • 1
  1. 1.Physics DepartmentETHZürichSwitzerland