Computer simulation results for the two-point probability function of composite media

P. Smith; S. Torquato

doi:10.1016/0021-9991(88)90136-2

Computer simulation results for the two-point probability function of composite media

P. Smith, S. Torquato

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

63 Scopus citations

Abstract

Computer simulation results are reported for the two-point matrix probability function S₂ of two-phase random media composed of disks distributed with an arbitrary degree of impenetrability λ. The novel technique employed to sample S₂(r) (which gives the probability of finding the endpoints of a line segment of length r in the matrix) is very accurate and has a fast execution time. Results for the limiting cases λ = 0 (fully penetrable disks) and λ = 1 (hard disks), respectively, compare very favorably with theoretical predictions made by Torquato and Beasley and by Torquato and Lado. Results are also reported for several values of λ. that lie between these two extremes: cases which heretofore have not been examined.

Original language	English (US)
Pages (from-to)	176-191
Number of pages	16
Journal	Journal of Computational Physics
Volume	76
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(88)90136-2
State	Published - May 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(88)90136-2

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title = "Computer simulation results for the two-point probability function of composite media",

abstract = "Computer simulation results are reported for the two-point matrix probability function S2 of two-phase random media composed of disks distributed with an arbitrary degree of impenetrability λ. The novel technique employed to sample S2(r) (which gives the probability of finding the endpoints of a line segment of length r in the matrix) is very accurate and has a fast execution time. Results for the limiting cases λ = 0 (fully penetrable disks) and λ = 1 (hard disks), respectively, compare very favorably with theoretical predictions made by Torquato and Beasley and by Torquato and Lado. Results are also reported for several values of λ. that lie between these two extremes: cases which heretofore have not been examined.",

author = "P. Smith and S. Torquato",

note = "Funding Information: The authors gratefully acknowledget he support of the Office of Departmento f Energy, under Grant DE-FG0586ER13482",

year = "1988",

month = may,

doi = "10.1016/0021-9991(88)90136-2",

language = "English (US)",

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T1 - Computer simulation results for the two-point probability function of composite media

AU - Smith, P.

AU - Torquato, S.

N1 - Funding Information: The authors gratefully acknowledget he support of the Office of Departmento f Energy, under Grant DE-FG0586ER13482

PY - 1988/5

Y1 - 1988/5

N2 - Computer simulation results are reported for the two-point matrix probability function S2 of two-phase random media composed of disks distributed with an arbitrary degree of impenetrability λ. The novel technique employed to sample S2(r) (which gives the probability of finding the endpoints of a line segment of length r in the matrix) is very accurate and has a fast execution time. Results for the limiting cases λ = 0 (fully penetrable disks) and λ = 1 (hard disks), respectively, compare very favorably with theoretical predictions made by Torquato and Beasley and by Torquato and Lado. Results are also reported for several values of λ. that lie between these two extremes: cases which heretofore have not been examined.

AB - Computer simulation results are reported for the two-point matrix probability function S2 of two-phase random media composed of disks distributed with an arbitrary degree of impenetrability λ. The novel technique employed to sample S2(r) (which gives the probability of finding the endpoints of a line segment of length r in the matrix) is very accurate and has a fast execution time. Results for the limiting cases λ = 0 (fully penetrable disks) and λ = 1 (hard disks), respectively, compare very favorably with theoretical predictions made by Torquato and Beasley and by Torquato and Lado. Results are also reported for several values of λ. that lie between these two extremes: cases which heretofore have not been examined.

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Computer simulation results for the two-point probability function of composite media

Abstract

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