Structure of a hard-sphere fluid near a rough surface: A density-functional approach

The density-functional theory of Evans [in Fundamentals of Inhomogeneous Fluids, edited by D. Henderson (Dekker, New York, 1992)] and Tarazona [Phys. Rev. A 31, 2672 (1985)] is used to study an inhomogeneous fluid near a rough surface or pore composed of grooves consisting of a periodic array of saw-toothed wedges. This involves a two-dimensional formulation of this approach, in contrast to the one-dimensional formulations that generally have been used previously. The agreement with the simulations of Schoen and Dietrich [Phys. Rev. E 56, 499 (1997)] is good.