Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks
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 f...
| Principais autores: | , , , |
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| Outros Autores: | |
| Formato: | Artigo |
| Idioma: | en_US |
| Publicado em: |
American Physical Society
2015
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| Acesso em linha: | http://hdl.handle.net/1721.1/95875 https://orcid.org/0000-0002-7841-8058 |
| _version_ | 1826212767318671360 |
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| author | Mutiso, Rose M. Sherrott, Michelle C. Li, Ju Winey, Karen I. |
| author2 | Massachusetts Institute of Technology. Department of Materials Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Materials Science and Engineering Mutiso, Rose M. Sherrott, Michelle C. Li, Ju Winey, Karen I. |
| author_sort | Mutiso, Rose M. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:37:35Z |
| format | Article |
| id | mit-1721.1/95875 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:37:35Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/958752022-10-02T02:59:07Z Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks Mutiso, Rose M. Sherrott, Michelle C. Li, Ju Winey, Karen I. Massachusetts Institute of Technology. Department of Materials Science and Engineering Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Li, Ju 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. National Science Foundation (U.S.). Materials Research Science and Engineering Centers (Program) (Award DMR-11-20901) University of Pennsylvania. University Research Foundation 2015-03-05T16:37:31Z 2015-03-05T16:37:31Z 2012-12 2013-01 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/95875 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 https://orcid.org/0000-0002-7841-8058 en_US http://dx.doi.org/10.1103/PhysRevB.86.214306 Physical Review B 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. application/pdf American Physical Society APS |
| spellingShingle | Mutiso, Rose M. Sherrott, Michelle C. Li, Ju Winey, Karen I. Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| title | Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| title_full | Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| title_fullStr | Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| title_full_unstemmed | Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| title_short | Simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| title_sort | simulations and generalized model of the effect of filler size dispersity on electrical percolation in rod networks |
| url | http://hdl.handle.net/1721.1/95875 https://orcid.org/0000-0002-7841-8058 |
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