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Connectedness percolation of hard deformed rods
Tara Drwenski1, Simone Dussi2, Marjolein Dijkstra2
1Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands.
The Journal of Chemical Physics
|December 17, 2017
Summary
Shape deformations in rod-like nanofillers have minimal impact on electrical conductivity in polymer composites, even with imperfect shapes. Idealized models remain useful for predicting percolation thresholds.
Area of Science:
- Materials Science
- Polymer Science
- Physics
Background:
- Functional polymer composites utilize nanofillers like carbon nanotubes for electrical conductivity.
- Nanofillers often deviate from perfect cylindrical shapes, exhibiting tortuosity or kinks.
- Understanding how these shape imperfections affect composite properties is crucial.
Purpose of the Study:
- To investigate the influence of shape deformations in rod-like nanofillers on the geometric percolation threshold.
- To determine the validity of idealized rod models for imperfect nanofillers.
Main Methods:
- Utilized connectedness percolation theory with a Parsons-Lee approximation.
- Employed Monte Carlo integration to calculate average overlap volume in the isotropic fluid phase.
Main Results:
- Minor deviations from perfect rod shapes had little effect on the percolation threshold.
- Strong deformations were required to significantly alter the percolation threshold.
- Universal scaling of the percolation threshold was only weakly affected by moderate deformations.
Conclusions:
- Idealized rod models are applicable even for nanofillers with apparent imperfections.
- The study validates the use of simplified models for predicting electrical conductivity in polymer composites.
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