A precise determination of the void percolation threshold for two distributions of overlapping spheres

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The void percolation threshold is calculated for a distribution of overlapping spheres with equal radii, and for a binary sized distribution of overlapping spheres, where half of the spheres have radii twice as large as the other half. Using systems much larger than previous work, the authors determine a much more precise value for the percolation thresholds and correlation length exponent. The values for the percolation thresholds are shown to be significantly different, in contrast with previous, less precise works that speculated that the threshold might be universal with respect to sphere size distribution.

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14 p.

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RINTOUL,MARK DANIEL January 25, 2000.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

The void percolation threshold is calculated for a distribution of overlapping spheres with equal radii, and for a binary sized distribution of overlapping spheres, where half of the spheres have radii twice as large as the other half. Using systems much larger than previous work, the authors determine a much more precise value for the percolation thresholds and correlation length exponent. The values for the percolation thresholds are shown to be significantly different, in contrast with previous, less precise works that speculated that the threshold might be universal with respect to sphere size distribution.

Physical Description

14 p.

Notes

OSTI as DE00751216

Medium: P; Size: 14 pages

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  • Journal Name: Physical Review Letters; Other Information: Submitted to Physical Review Letters

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  • Report No.: SAND2000-0269J
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 751216
  • Archival Resource Key: ark:/67531/metadc703993

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  • January 25, 2000

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 7, 2017, 2:37 p.m.

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RINTOUL,MARK DANIEL. A precise determination of the void percolation threshold for two distributions of overlapping spheres, article, January 25, 2000; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc703993/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.