Applications of modified weighted density functional theory: Freezing of simple liquids

A new formulation of the weighted density approximation, the so-called modified weighted density approximation (MWDA), has been developed recently by Denton and Ashcroft [Phys. Rev. A39, 4701 (1989)]. In the present article, the MWDA theory is examined by applying it to the freezing of simple liquids in low dimensions such as one-dimensional hard rods and two-dimensional hard disks, and also applying it to three-dimensional adhesive hard spheres and classical one-component plasma systems. Comparisons with previous density functional investigations and computer simulations are also presented.