Weighted density functional theory of spherically inhomogeneous hard spheres

The weighted density functional theory of hard sphere fluids proposed by Tarazona is applied to spherically inhomogeneous hard sphere fluids. The density profile of a hard sphere fluid around a hard sphere particle with structureless hard wall and varying radii is obtained. Our results are compared with previously obtained computer simulation with good agreement. We also calculate the density profile of a hard sphere fluid confined to spherical pores. We compare these results with those obtained by Calleja et al., in which both theory and computer simulation are used. In this case the results are also in agreement.