title: On the Green-Kubo relationship for the liquid-solid friction coefficient.
abstract: In this paper, we propose a new derivation for the Green-Kubo relationship for the liquid-solid friction coefficient characterizing hydrodynamic slippage at a wall. It is based on a general Langevin approach for the fluctuating wall velocity involving a non-Markovian memory kernel with vanishing time integral. The calculation highlights some subtleties of the wall-liquid dynamics leading to superdiffusive motion of the fluctuating wall position.
authors.affiliation: Institut Lumière Matière, Université Lyon 1-CNRS, UMR 5306, Université de Lyon, 69622 Villeurbanne cedex, France.
authors.forename: Lydéric
authors.initials: L
authors.lastname: Bocquet
authors.forename: Jean-Louis
authors.initials: JL
authors.lastname: Barrat