Fluid distributions in random media: Arbitrary matrices

Abstract

The graphical theory of Madden and Glandt [J. Stat. Phys. 51, 537 (1988)] for a fluid adsorbed into a quenched medium has been extended to situations in which the distribution of the immobile species has an arbitrary form, not necessarily arising from a thermal quench. The working equations of Madden and Glandt are shown to be applicable to this general case and the approximations common in the theory of equilibrium mixtures are appropriate in this application as well. Extensions to mixtures are considered and the connection with the graphical theory of small molecules is discussed.