On the Green-Kubo relationship of the liquid-solid friction coefficient

Lydéric Bocquet (1) , Jean-Louis Barrat (2)

1 ILM - Institut Lumière Matière [Villeurbanne]
2 LIPhy - Laboratoire Interdisciplinaire de Physique [Saint Martin d’Hères]

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.

Mots clés: Viscosity; Friction; Laminar flows; Liquid solid interfaces; Nanotubes; Generalized functions; Integral transforms; Langevin dynamics; Fluid dynamics; Nonequilibrium statistical mechanics

Domaines: Science des matériaux [cond-mat.mtrl-sci]

Lydéric Bocquet, Jean-Louis Barrat. On the Green-Kubo relationship of the liquid-solid friction coefficient. Journal of Chemical Physics, 2013, 139, pp.044704. ⟨10.1063/1.4816006⟩. ⟨hal-00832290⟩