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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Madden, W.G., Glandt, E.D. Distribution functions for fluids in random media. J Stat Phys 51, 537–558 (1988). https://doi.org/10.1007/BF01028471
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DOI: https://doi.org/10.1007/BF01028471