### Uittreksel

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.

Taal | Engels |
---|---|

Artikelnummer | 054902 |

Tijdschrift | Journal of Chemical Physics |

Volume | 149 |

Nummer van het tijdschrift | 5 |

DOI's | |

Status | Gepubliceerd - 7 aug 2018 |

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### Citeer dit

*Journal of Chemical Physics*,

*149*(5), [054902]. DOI: 10.1063/1.5040185

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*Journal of Chemical Physics*, vol. 149, nr. 5, 054902. DOI: 10.1063/1.5040185

**Connectedness percolation of hard convex polygonal rods and platelets.** / Drwenski, Tara; van Roij, René; van der Schoot, Paul.

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

TY - JOUR

T1 - Connectedness percolation of hard convex polygonal rods and platelets

AU - Drwenski,Tara

AU - van Roij,René

AU - van der Schoot,Paul

PY - 2018/8/7

Y1 - 2018/8/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85051141700&partnerID=8YFLogxK

U2 - 10.1063/1.5040185

DO - 10.1063/1.5040185

M3 - Article

VL - 149

JO - Journal of Chemical Physics

T2 - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 5

M1 - 054902

ER -