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

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

168 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

Access to Document

10.1088/0305-4470/33/42/104

Cite this

@article{e5852cb5a9c84011892516f76af61e77,

title = "Efficient measurement of the percolation threshold for fully penetrable discs",

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.",

author = "J. Quintanilla and S. Torquato and Ziff, {R. M.}",

year = "2000",

month = oct,

day = "27",

doi = "10.1088/0305-4470/33/42/104",

language = "English (US)",

volume = "33",

pages = "L399--L407",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "42",

}

TY - JOUR

T1 - Efficient measurement of the percolation threshold for fully penetrable discs

AU - Quintanilla, J.

AU - Torquato, S.

AU - Ziff, R. M.

PY - 2000/10/27

Y1 - 2000/10/27

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.

UR - http://www.scopus.com/inward/record.url?scp=0034721635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034721635&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/42/104

DO - 10.1088/0305-4470/33/42/104

M3 - Article

AN - SCOPUS:0034721635

SN - 0305-4470

VL - 33

SP - L399-L407

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 42

ER -

Efficient measurement of the percolation threshold for fully penetrable discs

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this