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

Werner Braun, K. Hepp

Research output: Contribution to journalArticle

316 Citations (Scopus)

Abstract

For classical N-particle systems with pair interaction N-1 {Mathematical expression} ø(qi-qi) the Vlasov dynamics is shown to be the w*-limit as N→∞. Propagation of molecular chaos holds in this limit, and the fluctuations of intensive observables converge to a Gaussian stochastic process.

Original languageEnglish (US)
Pages (from-to)101-113
Number of pages13
JournalCommunications in Mathematical Physics
Volume56
Issue number2
DOIs
StatePublished - Jun 1977
Externally publishedYes

Fingerprint

Fluctuations
stochastic processes
Particle System
Gaussian Process
chaos
Stochastic Processes
Chaos
Propagation
Converge
propagation
Interaction
interactions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles. / Braun, Werner; Hepp, K.

In: Communications in Mathematical Physics, Vol. 56, No. 2, 06.1977, p. 101-113.

Research output: Contribution to journalArticle

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