O. Pizio et S. Sokolowski, ADSORPTION OF FLUIDS IN CONFINED DISORDERED MEDIA FROM INHOMOGENEOUS REPLICA ORNSTEIN-ZERNIKE EQUATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 63-66
The density distribution and pair distribution function for a fluid ad
sorbed in a slitlike pore filled with a quenched hard-sphere fluid hav
e been investigated using the inhomogeneous replica Ornstein-Zernike e
quations. The one-particle and two-particle functions are related via
Born-Green-Yvon equation and the inhomogeneous Percus-Yevick approxima
tion is used. The effect of the matrix is to lower the amount of adsor
bed fluid in the entire pore at low chemical potentials. For high valu
es of the fluid chemical potential, layering of adsorbed fluid is obse
rved. The solution of the problem is important for gel-exclusion chrom
atography and in separation science.