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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.
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