DOI: 10.1063/1.448475. Microstructure of two-phase random media. V. The <i>n</i>-point matrix probability functions for impenetrable spheres

Microstructure of two-phase random media. V. The n-point matrix probability functions for impenetrable spheres

10.1063/1.448475

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We examine the two- and three-point matrix probability functions for a two-phase random and homogeneous system of impenetrable spheres. For such a system, we give an exact analytical expression for the two-point matrix function S2 through second order in the number density of particles. Moreover, the two-point matrix function is evaluated, for the first time, for a very wide range of densities. We also discuss the evaluation of the three-point matrix function S3 for an impenetrable-sphere system and provide new expressions that may be used to estimate it.

Bibliography

Torquato, S., & Stell, G. (1985). Microstructure of two-phase random media. V. The n-point matrix probability functions for impenetrable spheres. The Journal of Chemical Physics, 82(2), 980â987.

Authors 2

S. Torquato (first)
George Stell (additional)

References 24 Referenced 124

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{'key': '2024021001323725800_r4a'}
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{'key': '2024021001323725800_r9'}
{'key': '2024021001323725800_r10'}
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Dates

Type	When
Created	23 years ago (July 26, 2002, 9 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 9:47 p.m.)
Indexed	2 weeks, 2 days ago (Aug. 6, 2025, 8:17 a.m.)
Issued	40 years, 7 months ago (Jan. 15, 1985)
Published	40 years, 7 months ago (Jan. 15, 1985)
Published Print	40 years, 7 months ago (Jan. 15, 1985)

Funders 0

None

BibTeX

@article{Torquato_1985, title={Microstructure of two-phase random media. V. The n-point matrix probability functions for impenetrable spheres}, volume={82}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.448475}, DOI={10.1063/1.448475}, number={2}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Torquato, S. and Stell, George}, year={1985}, month=jan, pages={980–987} }

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