The zeroth order (hydrostatic) nonlocal integral‐equation approximation is applied here to Lennard‐Jones (LJ) fluids. Systems of homogeneous LJ fluids are investigated, as well as LJ fluids near a hard wall, a model CO2 wall, and inside two model CO2 walls. The hydrostatic hypernetted chain (HHNC) approximation is shown to be better than both the Percus–Yevick and the hypernetted chain approximations when compared with computer simulations. The phenomena of solid wetting by liquid, solid wetting by gas, and capillary condensation are predicted by the HHNC approximation.

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