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 language | English (US) |
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Article number | 032122 |
Journal | Physical Review E |
Volume | 94 |
Issue number | 3 |
DOIs | |
State | Published - Sep 20 2016 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics