E. Kierlik et al., PHASE-DIAGRAMS OF SINGLE-COMPONENT FLUIDS IN DISORDERED POROUS MATERIALS - PREDICTIONS FROM INTEGRAL-EQUATION THEORY, The Journal of chemical physics, 106(1), 1997, pp. 264-279
We present the calculation of phase diagrams for fluids in disordered
porous materials using theories based on the replica symmetric Ornstei
n-Zernike equations. We consider molecular models in which the porous
medium is described by quenched disordered confirmations of spheres an
d the fluid-fluid and matrix intermolecular potentials are the sum of
a hard-sphere core and an attractive tail. Such models account for the
combined effect of confinement, wetting, and disorder that are expect
ed to be important to describe recent experimental observations. We us
e the replica method to derive the expressions relating the thermodyna
mic properties of the fluid inside the porous material to the pair dis
tribution functions within the mean-spherical approximation and the op
timized random-phase approximation (ORPA). We also consider higher-ord
er corrections within the optimized cluster theory developed by Anders
en and Chandler for bulk fluids. In most cases a vapor-liquid coexiste
nce curve, similar to that observed for the bulk fluid, although displ
aced and somewhat narrowed, is obtained. The improved ORPA+B-2/EXP app
roximation also predicts the appearance of a second fluid-fluid phase
transition at a lower temperature. (C) 1997 American Institute of Phys
ics.