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- W1988744991 abstract "We derive and numerically evaluate expressions for the porosity (matrix volume fraction) φ and the specific surface (interface area per unit volume) s for two specific models of a random two‐phase medium in which the medium is considered as a suspension of interpenetrable spheres of radius R, embedded in a uniform matrix. The models and quantities considered have applications to a wide range of problems concerning transport, mechanical, and chemical properties of composite media. Both models contain a continuously variable hardness parameter ε, such that for ε=1 they reduce to mutually impenetrable spheres, and for ε=0 they reduce to fully penetrable spheres. The first of these models, the permeable‐sphere model, has been defined only in the context of the Percus–Yevick approximation, which yields for it a unique pair distribution function g2(r1, r2). To find the associated gn(r1,...,rn) for n≳2, which are needed to evaluate φ and s we use the generalized superposition approximation. The second model, the concentric‐shell model, can be fully defined without recourse to any particular approximation and proves to be isomorphic to the picture described by the scaled‐particle theory of Reiss, Frisch, and Lebowitz. In this case we evaluate φ and s in the scaled‐particle approximation introduced by those authors to implement the scaled‐particle theory. For both models, we present numerical plots of φ vs dimensionless density, and of s vs φ. We also briefly discuss the relations between the results obtained in the two cases. Finally, we consider generalizations of φ and s that define the volume and surface available to a particle of finite size, rather than a point." @default.
- W1988744991 created "2016-06-24" @default.
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- W1988744991 date "1985-01-15" @default.
- W1988744991 modified "2023-09-25" @default.
- W1988744991 title "Porosity and specific surface for interpenetrable‐sphere models of two‐phase random media" @default.
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- W1988744991 doi "https://doi.org/10.1063/1.448966" @default.
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