Application of some second-order integral equation theories to the Lennard-Jones fluid

Three second-order integral equation theories based on the theory of inhomogeneous fluids are studied for the bulk Lennard-Jones fluid. These second-order theories are constructed from the inhomogeneous Ornstein-Zernike equation with the well known Percus-Yevick and the hypernetted chain closures, and the recently proposed Duh-Haymet-Henderson clossure. The radial distribution functions and the cavity functions are reported and are compared with simulation results.