Continuum percolation of congruent overlapping spherocylinders

Wenxiang Xu, Xianglong Su, Yang Jiao

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Continuum percolation of randomly orientated congruent overlapping spherocylinders (composed of cylinder of height H with semispheres of diameter D at the ends) with aspect ratio α=H/D in [0) is studied. The percolation threshold φccolation transition width Δ, and correlation-length critical exponent ν for spherocylinders with α in [0, 200] are determined with a high degree of accuracy via extensive finite-size scaling analysis. A generalized excluded-volume approximation for percolation threshold with an exponent explicitly depending on both aspect ratio and excluded volume for arbitrary α values in [0) is proposed and shown to yield accurate predictions of φc for an extremely wide range of α in [0, 2000] based on available numerical and experimental data. We find φc is a universal monotonic decreasing function of α and is independent of the effective particle size. Our study has implications in percolation theory for nonspherical particles and composite material design.

Original languageEnglish (US)
Article number032122
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume94
Issue number3
DOIs
StatePublished - Sep 20 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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