### 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) |
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Pages (from-to) | 101-113 |

Number of pages | 13 |

Journal | Communications in Mathematical Physics |

Volume | 56 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1977 |

Externally published | Yes |

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### 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.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 56, no. 2, pp. 101-113. https://doi.org/10.1007/BF01611497

}

TY - JOUR

T1 - The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles

AU - Braun, Werner

AU - Hepp, K.

PY - 1977/6

Y1 - 1977/6

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0000009557&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000009557&partnerID=8YFLogxK

U2 - 10.1007/BF01611497

DO - 10.1007/BF01611497

M3 - Article

AN - SCOPUS:0000009557

VL - 56

SP - 101

EP - 113

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -