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

423 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

Access to Document

10.1007/BF01611497

Cite this

@article{c9cecbdc37504f6ebbdc9b8d41c6a9a1,

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

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.",

author = "W. Braun and K. Hepp",

year = "1977",

month = jun,

doi = "10.1007/BF01611497",

language = "English (US)",

volume = "56",

pages = "101--113",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

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

AU - Braun, W.

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 - https://www.scopus.com/pages/publications/0000009557

UR - https://www.scopus.com/pages/publications/0000009557#tab=citedBy

U2 - 10.1007/BF01611497

DO - 10.1007/BF01611497

M3 - Article

AN - SCOPUS:0000009557

SN - 0010-3616

VL - 56

SP - 101

EP - 113

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this