  We study the fluid inclusion of both Lennard-Jones particles and particles
with competing interaction ranges --short range attractive and long range
repulsive (SALR)-- in a disordered porous medium constructed as a controlled
pore glass in two dimensions. With the aid of a full two-dimensional
Ornstein-Zernike approach, complemented by a Replica Ornstein-Zernike integral
equation, we explicitly obtain the spatial density distribution of the fluid
adsorbed in the porous matrix and a good approximation for the average
fluid-matrix correlations. The results illustrate the remarkable differences
between the adsorbed Lennard-Jones (LJ) and SALR systems. In the latter
instance, particles tend to aggregate in clusters which occupy pockets and bays
in the porous structure, whereas the LJ fluid uniformly wets the porous walls.
A comparison with Molecular Dynamics simulations shows that the two-dimensional
Ornstein-Zernike approach with a Hypernetted Chain closure together with a
sensible approximation for the fluid-fluid correlations can provide an accurate
picture of the spatial distribution of adsorbed fluids for a given
configuration of porous material.
