Two-point probability function for distributions of oriented hard ellipsoids

F. Lado; S. Torquato

doi:10.1063/1.459501

Two-point probability function for distributions of oriented hard ellipsoids

F. Lado, S. Torquato

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

22 Scopus citations

Abstract

The macroscopic properties of two-phase random heterogeneous media depend upon an infinite sequence of n-point functions S _n⁽ⁱ⁾ (x₁,x₂,...,x_n) giving the joint probability of finding n points with positions x₁,x₂,...,x_n all in phase i. This paper reports the first study and calculation of the two-point probability function S₂⁽ⁱ⁾ for distributions of oriented, hard spheroids with eccentricity ∈ in a matrix. This is a useful model of statistically anisotropic two-phase media, enabling one to examine the special limiting cases of oriented disks (∈ = 0), spheres (∈ = 1), and oriented needles (e= ∞).

Original language	English (US)
Pages (from-to)	5912-5917
Number of pages	6
Journal	The Journal of chemical physics
Volume	93
Issue number	8
DOIs	https://doi.org/10.1063/1.459501
State	Published - 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.459501

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title = "Two-point probability function for distributions of oriented hard ellipsoids",

abstract = "The macroscopic properties of two-phase random heterogeneous media depend upon an infinite sequence of n-point functions S n(i) (x1,x2,...,xn) giving the joint probability of finding n points with positions x1,x2,...,xn all in phase i. This paper reports the first study and calculation of the two-point probability function S2(i) for distributions of oriented, hard spheroids with eccentricity ∈ in a matrix. This is a useful model of statistically anisotropic two-phase media, enabling one to examine the special limiting cases of oriented disks (∈ = 0), spheres (∈ = 1), and oriented needles (e= ∞).",

author = "F. Lado and S. Torquato",

year = "1990",

doi = "10.1063/1.459501",

language = "English (US)",

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pages = "5912--5917",

journal = "The Journal of chemical physics",

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T1 - Two-point probability function for distributions of oriented hard ellipsoids

AU - Lado, F.

AU - Torquato, S.

PY - 1990

Y1 - 1990

N2 - The macroscopic properties of two-phase random heterogeneous media depend upon an infinite sequence of n-point functions S n(i) (x1,x2,...,xn) giving the joint probability of finding n points with positions x1,x2,...,xn all in phase i. This paper reports the first study and calculation of the two-point probability function S2(i) for distributions of oriented, hard spheroids with eccentricity ∈ in a matrix. This is a useful model of statistically anisotropic two-phase media, enabling one to examine the special limiting cases of oriented disks (∈ = 0), spheres (∈ = 1), and oriented needles (e= ∞).

AB - The macroscopic properties of two-phase random heterogeneous media depend upon an infinite sequence of n-point functions S n(i) (x1,x2,...,xn) giving the joint probability of finding n points with positions x1,x2,...,xn all in phase i. This paper reports the first study and calculation of the two-point probability function S2(i) for distributions of oriented, hard spheroids with eccentricity ∈ in a matrix. This is a useful model of statistically anisotropic two-phase media, enabling one to examine the special limiting cases of oriented disks (∈ = 0), spheres (∈ = 1), and oriented needles (e= ∞).

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JO - The Journal of chemical physics

JF - The Journal of chemical physics

IS - 8

ER -

Two-point probability function for distributions of oriented hard ellipsoids

Abstract

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