General formalism to characterize the microstructure of polydispersed random media
- 1 February 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (4), 2078-2080
- https://doi.org/10.1103/physreva.43.2078
Abstract
The general n-point distribution function characterizes the microstructure of disordered composite and porous media, liquids, and amorphous solids. In this Rapid Communication we obtain an exact analytical representation of for inhomogeneous ensembles of d-dimensional spheres with a polydispersivity in size. Polydispersivity constitutes a fundamental aspect of the structure of random systems of particles.
Keywords
This publication has 28 references indexed in Scilit:
- Flow in random porous media: mathematical formulation, variational principles, and rigorous boundsJournal of Fluid Mechanics, 1989
- Diffusion-controlled reactions. II. Further bounds on the rate constantThe Journal of Chemical Physics, 1989
- Diffusion-controlled reactions: Mathematical formulation, variational principles, and rigorous boundsThe Journal of Chemical Physics, 1988
- Characterization of the microstructure of disordered media: A unified approachPhysical Review B, 1987
- Microstructure characterization and bulk properties of disordered two-phase mediaJournal of Statistical Physics, 1986
- Effective electrical conductivity of two-phase disordered composite mediaJournal of Applied Physics, 1985
- 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 Electromagnetic, Elastic, and Other Properties of Two-Component CompositesPhysical Review Letters, 1981
- Viscous Flow through Porous MediaPhysics of Fluids, 1961