Abstract
Limiting values of the one-particle background correlation function for inhomogeneous fluids are considered and used as boundary values for the integration of the Born–Green–Yvon equation. For a system of hard spheres in contact with a hard wall different approximations of the pair correlation function are tested with respect to (a) the consistency of the limiting values, (b) the behavior of the background correlation function inside the wall, and (c) the form of the local density in front of the wall. Then the study concentrates on using the Fischer–Methfessel version of the Born–Green–Yvon equation together with the limiting value of the one-particle background correlation function inside the solid for describing density profiles of a fluid inside a pore. Comparison of the results against computer simulations shows quite reasonable agreement.
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