Local volume fraction fluctuations in periodic heterogeneous media

J. Quintanilla; S. Torquato

doi:10.1063/1.477843

Local volume fraction fluctuations in periodic heterogeneous media

J. Quintanilla
, S. Torquato

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Although the volume fraction is a constant for statistically homogeneous media, on a spatially local level it fluctuates and depends on the observation window size. In this article, we develop exact analytical expressions for the full local-volume fraction distribution function of periodic arrangements of rods, rectangles, and cubes in a matrix. These formulas depend on the inclusion density and window size.

Original language	English (US)
Pages (from-to)	3215-3219
Number of pages	5
Journal	Journal of Chemical Physics
Volume	110
Issue number	2-12
DOIs	https://doi.org/10.1063/1.477843
State	Published - Feb 8 1999

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.477843

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title = "Local volume fraction fluctuations in periodic heterogeneous media",

abstract = "Although the volume fraction is a constant for statistically homogeneous media, on a spatially local level it fluctuates and depends on the observation window size. In this article, we develop exact analytical expressions for the full local-volume fraction distribution function of periodic arrangements of rods, rectangles, and cubes in a matrix. These formulas depend on the inclusion density and window size.",

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T1 - Local volume fraction fluctuations in periodic heterogeneous media

AU - Quintanilla, J.

AU - Torquato, S.

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Y1 - 1999/2/8

N2 - Although the volume fraction is a constant for statistically homogeneous media, on a spatially local level it fluctuates and depends on the observation window size. In this article, we develop exact analytical expressions for the full local-volume fraction distribution function of periodic arrangements of rods, rectangles, and cubes in a matrix. These formulas depend on the inclusion density and window size.

AB - Although the volume fraction is a constant for statistically homogeneous media, on a spatially local level it fluctuates and depends on the observation window size. In this article, we develop exact analytical expressions for the full local-volume fraction distribution function of periodic arrangements of rods, rectangles, and cubes in a matrix. These formulas depend on the inclusion density and window size.

UR - https://www.scopus.com/pages/publications/0008853063

UR - https://www.scopus.com/pages/publications/0008853063#tab=citedBy

U2 - 10.1063/1.477843

DO - 10.1063/1.477843

M3 - Article

AN - SCOPUS:0008853063

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SP - 3215

EP - 3219

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 2-12

ER -

Local volume fraction fluctuations in periodic heterogeneous media

Abstract

All Science Journal Classification (ASJC) codes

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