A method to incorporate the radial distribution function of bulk fluid into the density functional approximation

Abstract

A systematic methodology is proposed to deal with the weighted density approximation version of classical density functional theory by employing the knowledge of the radial distribution function of bulk fluid. The present methodology results from the concept of the universality of the free energy density functional combined with test particle method. It is shown that the new method is very accurate for the predictions of the density distribution of a hard sphere fluid at different confining geometry. The universality of the present methodology is discussed.