L. Bocquet et Jl. Barrat, HYDRODYNAMIC BOUNDARY-CONDITIONS AND CORRELATION-FUNCTIONS OF CONFINED FLUIDS, Physical review letters, 70(18), 1993, pp. 2726-2729
A phenomenological description of the dynamical correlations in a flui
d confined between two parallel solid walls, using a generalization of
Onsager's theory of fluctuations, is presented. Besides the bulk visc
osity, this description involves parameters characterizing the boundar
y conditions. Correlation functions obtained in equilibrium molecular
dynamics simulations are very well described within this framework. Fe
atureless walls yield perfect slip boundary conditions, while corrugat
ed walls in most cases correspond to stick boundary conditions. Only f
or very small corrugation amplitudes is it necessary to introduce a fi
nite slipping length.