  In this paper we consider the effect of surface heterogeneity on the slippage
of fluid, using two complementary approaches. First, MD simulations of a
corrugated hydrophobic surface have been performed. A dewetting transition,
leading to a super-hydrophobic state, is observed for pressure below a
``capillary'' pressure. Conversely a very large slippage of the fluid on this
composite interface is found in this superhydrophobic state. Second, we propose
a macroscopic estimate of the effective slip length on the basis of continuum
hydrodynamics, in order to rationalize the previous MD results. This
calculation allows to estimate the effect of a heterogeneous slip length
pattern on the composite interface. Comparison between the two approaches are
in good agreement at low pressure, but highlights the role of the exact shape
of the liquid-vapor interface at higher pressure. These results confirm that
small variations in the roughness of a surface can lead to huge differences in
the slip effect. On the basis of these results, we propose some guidelines to
design highly slippery surfaces, motivated by potential applications in
microfluidics.
