Connectedness percolation of hard convex polygonal rods and platelets

Tara Drwenski, René van Roij, Paul van der Schoot

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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.

TaalEngels
Artikelnummer054902
TijdschriftJournal of Chemical Physics
Volume149
Nummer van het tijdschrift5
DOI's
StatusGepubliceerd - 7 aug 2018

Vingerafdruk

Graphite
Platelets
platelets
Cellulose
Nanocrystals
Fillers
Polymers
rods
Composite materials
thresholds
flakes
cross sections
fillers
cellulose
nanocrystals
graphene
scaling
composite materials
polymers
approximation

Citeer dit

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

In: Journal of Chemical Physics, Vol. 149, Nr. 5, 054902, 07.08.2018.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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