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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.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-02389995
Contributor : Laure Saint-Raymond <>
Submitted on : Monday, December 2, 2019 - 5:50:48 PM
Last modification on : Thursday, June 4, 2020 - 10:38:02 AM
Long-term archiving on: : Tuesday, March 3, 2020 - 8:41:02 PM

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  • HAL Id : ensl-02389995, version 1

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

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