Efficient measurement of the percolation threshold for fully penetrable discs

J. Quintanilla; S. Torquato; R. M. Ziff

doi:10.1088/0305-4470/33/42/104

Efficient measurement of the percolation threshold for fully penetrable discs

J. Quintanilla, S. Torquato, R. M. Ziff

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172 Scopus citations

Abstract

We study the percolation threshold for fully penetrable discs by measuring the average location of the frontier for a statistically inhomogeneous distribution of fully penetrable discs. We use two different algorithms to efficiently simulate the frontier, including the continuum analogue of an algorithm previously used for gradient percolation on a square lattice. We find that φ_c = 0.676339 ± 0.000004, thus providing an extra significant digit of accuracy to this constant.

Original language	English (US)
Pages (from-to)	L399-L407
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	42
DOIs	https://doi.org/10.1088/0305-4470/33/42/104
State	Published - Oct 27 2000

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/33/42/104

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abstract = "We study the percolation threshold for fully penetrable discs by measuring the average location of the frontier for a statistically inhomogeneous distribution of fully penetrable discs. We use two different algorithms to efficiently simulate the frontier, including the continuum analogue of an algorithm previously used for gradient percolation on a square lattice. We find that φc = 0.676339 ± 0.000004, thus providing an extra significant digit of accuracy to this constant.",

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AU - Torquato, S.

AU - Ziff, R. M.

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N2 - We study the percolation threshold for fully penetrable discs by measuring the average location of the frontier for a statistically inhomogeneous distribution of fully penetrable discs. We use two different algorithms to efficiently simulate the frontier, including the continuum analogue of an algorithm previously used for gradient percolation on a square lattice. We find that φc = 0.676339 ± 0.000004, thus providing an extra significant digit of accuracy to this constant.

AB - We study the percolation threshold for fully penetrable discs by measuring the average location of the frontier for a statistically inhomogeneous distribution of fully penetrable discs. We use two different algorithms to efficiently simulate the frontier, including the continuum analogue of an algorithm previously used for gradient percolation on a square lattice. We find that φc = 0.676339 ± 0.000004, thus providing an extra significant digit of accuracy to this constant.

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JO - Journal of Physics A: Mathematical and General

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ER -

Efficient measurement of the percolation threshold for fully penetrable discs

Abstract

All Science Journal Classification (ASJC) codes

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