Efficient measurement of the percolation threshold for fully penetrable discs

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

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149 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 φc = 0.676339 ± 0.000004, thus providing an extra significant digit of accuracy to this constant.

Original languageEnglish (US)
Pages (from-to)L399-L407
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number42
DOIs
StatePublished - Oct 27 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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