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- W2803610882 startingPage "054902" @default.
- W2803610882 abstract "The properties of polymer composites with nanofiller particles change drastically above a critical filler density known as the percolation threshold. Real nanofillers, such as graphene flakes and cellulose nanocrystals, are not idealized disks and rods but are often modeled as such. Here we investigate the effect of the shape of the particle cross section on the geometric percolation threshold. Using connectedness percolation theory and the second-virial approximation, we analytically calculate the percolation threshold of hard convex particles in terms of three single-particle measures. We apply this method to polygonal rods and platelets and find that the universal scaling of the percolation threshold is lowered by decreasing the number of sides of the particle cross section. This is caused by the increase of the surface area to volume ratio with decreasing number of sides." @default.
- W2803610882 created "2018-06-01" @default.
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- W2803610882 creator A5021967043 @default.
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- W2803610882 date "2018-08-07" @default.
- W2803610882 modified "2023-10-16" @default.
- W2803610882 title "Connectedness percolation of hard convex polygonal rods and platelets" @default.
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- W2803610882 doi "https://doi.org/10.1063/1.5040185" @default.
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