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  4. Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks

Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks

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Author(s)
Mutiso, Rose M.
•
Sherrott, Michelle C.
•
Li, Ju
•
Winey, Karen I.
Date Issued
December 2012
Journal
Physical Review B
Publisher
American Physical Society
Citation
Mutiso, Rose M., Michelle C. Sherrott, Ju Li, and Karen I. Winey. “Simulations and Generalized Model of the Effect of Filler Size Dispersity on Electrical Percolation in Rod Networks.” Phys. Rev. B 86, no. 21 (December 2012). © 2012 American Physical Society
Version
Final published version
Abstract
We present a three-dimensional simulation of electrical conductivity in isotropic, polydisperse rod networks from which we determine the percolation threshold (ϕ[subscript c]). Existing analytical models that account for size dispersity are formulated in the slender-rod limit and are less accurate for predicting ϕ[subscript c] in composites with rods of modest L/D. Using empirical approximations from our simulation data, we generalized the excluded volume percolation model to account for both finite L/D and size dispersity, providing a solution for ϕ[subscript c] of polydisperse rod networks that is quantitatively accurate across the entire L/D range.
MIT Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/95875
DOI of Published Version
https://doi.org/10.1103/PhysRevB.86.214306
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