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

W. Braun; K. Hepp

doi:10.1007/BF01611497

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

W. Braun, K. Hepp

Research output: Contribution to journal › Article › peer-review

409 Scopus citations

Abstract

For classical N-particle systems with pair interaction N^-1 {Mathematical expression} ø(q_i-q_i) 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 language	English (US)
Pages (from-to)	101-113
Number of pages	13
Journal	Communications in Mathematical Physics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/BF01611497
State	Published - Jun 1977
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01611497

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abstract = "For classical N-particle systems with pair interaction N-1 {Mathematical expression} {\o}(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.",

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AB - 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.

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

Abstract

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