On the Green-Kubo relationship of the liquid-solid friction coefficient
Statistical Mechanics
2015-06-16 v1 Soft Condensed Matter
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.
Keywords
Cite
@article{arxiv.1306.2203,
title = {On the Green-Kubo relationship of the liquid-solid friction coefficient},
author = {Lydéric Bocquet and Jean-Louis Barrat},
journal= {arXiv preprint arXiv:1306.2203},
year = {2015}
}