ADSORPTION OF A HARD-SPHERE FLUID IN A SLITLIKE PORE FILLED WITH A DISORDERED MATRIX BY THE INHOMOGENEOUS REPLICA ORNSTEIN-ZERNIKE EQUATIONS

The density distribution and pair distribution functions for a fluid a dsorbed in a slitlike pore filled with a quenched disordered hard sphe re fluid are studied using the inhomogeneous replica Ornstein-Zernike equations with the inhomogeneous Percus-Yevick (PY) and hypernetted ch ain (HNC) approximations. The one and two particle functions are relat ed via the Born-Green-Yvon equation. For comparison, grand canonical M onte Carlo simulation data are obtained. The agreement of thr integral equation results with the simulation data is good. In particular, we find ''layering'' in the density profiles near the pore boundaries. As the width of the pore is decreased, these layers are ''squeezed'' out . The pair functions are also described satisfactorily by the integral equations. The HNC results tend to be greater than the PY results nea r contact. [S1063-651X(98)04401-8].