Precise determination of the critical threshold and exponents in a three-dimensional continuum percolation model

M. D. Rintoul, S. Torquato

Research output: Contribution to journalArticle

156 Scopus citations

Abstract

We present a large-scale computer simulation of the prototypical three-dimensional continuum percolation model consisting of a distribution of overlapping (spatially uncorrelated) spheres. By using simulations of up to 105 particles and studying the finite-size scaling of various effective percolation thresholds, we obtain a value of pc = 0.2895±0.0005. This value is significantly smaller than the values obtained for simulations that have been carried out using smaller systems. Employing this value of pc and systems of size L = 160 (relative to a sphere of unit radius), we also obtain estimates of the critical exponents ν, β, and γ for the continuum system and show that the values are different than those obtained using previous values of pc.

Original languageEnglish (US)
Pages (from-to)L585-L592
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number16
DOIs
StatePublished - Aug 21 1997

All Science Journal Classification (ASJC) codes

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

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