Fluid distributions in random media: Arbitrary matrices
- 1 April 1992
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 96 (7) , 5422-5432
- https://doi.org/10.1063/1.462726
Abstract
The graphical theory of Madden and Glandt [J. Stat. Phys. 5 1, 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.Keywords
This publication has 18 references indexed in Scilit:
- Distribution functions for fluids in random mediaJournal of Statistical Physics, 1988
- Microstructure of two-phase random media. III. The n-point matrix probability functions for fully penetrable spheresThe Journal of Chemical Physics, 1983
- Microstructure of two-phase random media. II. The Mayer–Montroll and Kirkwood–Salsburg hierarchiesThe Journal of Chemical Physics, 1983
- New and proper integral equations for site-site equilibrium correlations in molecular fluidsMolecular Physics, 1982
- New type of cluster theory for molecular fluids: Interaction site cluster expansionThe Journal of Chemical Physics, 1975
- Mean Spherical Model for Lattice Gases with Extended Hard Cores and Continuum FluidsPhysical Review B, 1966
- Statistics of Random MediaTransactions of the Society of Rheology, 1965
- A New Approach to the Theory of Classical Fluids. IIIProgress of Theoretical Physics, 1961
- Analysis of Classical Statistical Mechanics by Means of Collective CoordinatesPhysical Review B, 1958
- The statistical mechanical theory of molecular distribution functions in liquidsDiscussions of the Faraday Society, 1953