TY - JOUR
T1 - Continuum percolation of congruent overlapping spherocylinders
AU - Xu, Wenxiang
AU - Su, Xianglong
AU - Jiao, Yang
N1 - Funding Information:
The authors acknowledge financial support from National Natural Science Foundation of China (Grants No. 11402076 and No. 51679078), Natural Science Foundation for Jiangsu Province (Grant No. BK20130841), China Postdoctoral Science Foundation (Grants No. 2014M560385 and No. 2015T80493), the Open Research Funds for State Key Laboratory of High Performance Civil Engineering Materials (Grant No. 2015CEM004), the Open Research Funds for State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin (Grants No. IWHR-SKL-201511 and No. 2016TS09), and the Fundamental Research Funds for the Central Universities (Grant No. 2016B06314).
PY - 2016/9/20
Y1 - 2016/9/20
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.94.032122
DO - 10.1103/PhysRevE.94.032122
M3 - Article
AN - SCOPUS:84989947331
VL - 94
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 3
M1 - 032122
ER -