Characterization of the microstructure of disordered media: A unified approach
- 1 April 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 35 (10) , 5385-5387
- https://doi.org/10.1103/physrevb.35.5385
Abstract
Transport and mechanical properties of porous and other two-phase composite media have been expressed in terms of different sets of statistical correlation functions. A general methodology is put forth which provides a means of deriving and computing all of these different types of correlations (for a certain class of model micro- structures), and of establishing the relationships between these functions. This is done by obtaining series representations of a new and general n-point distribution function . The distribution function also characterizes the structure of liquids. Applications of this treatment to compute bulk properties are described.
Keywords
This publication has 24 references indexed in Scilit:
- Bulk properties of two-phase disordered media. III. New bounds on the effective conductivity of dispersions of penetrable spheresThe Journal of Chemical Physics, 1986
- Normalization constraint for variational bounds on fluid permeabilityThe Journal of Chemical Physics, 1985
- New bounds on effective elastic moduli of two-component materialsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- Bounds on the transport and optical properties of a two-component composite materialJournal of Applied Physics, 1981
- Bounds on the Electromagnetic, Elastic, and Other Properties of Two-Component CompositesPhysical Review Letters, 1981
- A New Variational Approach to the Diffusion and the Flow Problem in Porous MediaJournal of the Physics Society Japan, 1976
- Viscous Flow through Porous Media. III. Upper Bounds on the Permeability for a Simple Random GeometryPhysics of Fluids, 1970
- Use of the vibrational approach to determine bounds for the effective permittivity in random mediaIl Nuovo Cimento (1869-1876), 1965
- Diffusion-Controlled Quenching at Higher Quencher ConcentrationsThe Journal of Chemical Physics, 1965
- Viscous Flow through Porous MediaPhysics of Fluids, 1961