Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

LENARD-BALESCU CORRECTION TO MEAN-FIELD THEORY

Abstract : In the mean-field regime, the evolution of a gas of N interacting particles is governed in first approximation by a Vlasov type equation with a self-induced force field. This equation is conservative and describes return to equilibrium only in the very weak sense of Landau damping. However, the first correction to this approximation is given by the Lenard-Balescu operator, which dissipates entropy on the very long timescale O(N). In this paper, we show how one can derive rigorously this correction on intermediate timescales (of order O(N r) for r < 1), close to equilibrium.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [33 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-02389995
Contributor : Laure Saint-Raymond Connect in order to contact the contributor
Submitted on : Monday, December 2, 2019 - 5:50:48 PM
Last modification on : Wednesday, November 3, 2021 - 6:17:49 AM
Long-term archiving on: : Tuesday, March 3, 2020 - 8:41:02 PM

File

LB_6.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : ensl-02389995, version 1

Collections

Citation

Mitia Duerinckx, Laure Saint-Raymond. LENARD-BALESCU CORRECTION TO MEAN-FIELD THEORY. 2019. ⟨ensl-02389995⟩

Share

Metrics

Record views

81

Files downloads

94