Adsorption of fluids in confined disordered media from inhomogeneous replica Ornstein-Zernike equations

The density distribution and pair distribution function for a fluid adsorbed in a slitlike pore filled with a quenched hard-sphere fluid have been investigated using the inhomogeneous replica Ornstein-Zernike equations. The one-particle and two-particle functions are related via Born-Green-Yvon equation and the inhomogeneous Percus-Yevick approximation is used. The effect of the matrix is to lower the amount of adsorbed fluid in the entire pore at low chemical potentials. For high values of the fluid chemical potential, layering of adsorbed fluid is observed. The solution of the problem is important for gel-exclusion chromatography and in separation science.