Distribution functions for fluids in random media |
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Authors: | William G. Madden Eduardo D. Glandt |
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Affiliation: | (1) Polymer Products Department, E. I. Du Pont de Nemours & Company, Experimental Station, 19898 Wilmington, Delaware;(2) Department of Chemical Engineering, University of Pennsylvania, 19104 Philadelphia, Pennsylvania |
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Abstract: | A random medium is considered, composed of identifiable interactive sites or obstacles equilibrated at a high temperature and then quenched rapidly to form a rigid structure, statistically homogeneous on all but molecular length scales. The equilibrium statistical mechanics of a fluid contained inside this quenched medium is discussed. Various particle-particle and particle-obstacle correlation functions, which differ from the corresponding functions for a fully equilibrated binary mixture, are defined through an averaging process over the static ensemble of obstacle configurations and application of topological reduction techniques. The Ornstein-Zernike equations also differ from their equilibrium counterparts. |
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Keywords: | Random media correlation functions graph theory inhomogeneous fluids random fields |
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