Effective medium theory for the electrical conductance of random resistor networks which mimic crack-template-based transparent conductive films
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914843139768320 |
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| author | Tarasevich, Yuri Yu. Vodolazskaya, Irina V. Eserkepov, Andrei V. Reis, Fábio D. A. Aarão |
| author_facet | Tarasevich, Yuri Yu. Vodolazskaya, Irina V. Eserkepov, Andrei V. Reis, Fábio D. A. Aarão |
| contents | We studied random resistor networks produced with regular structure and random distribution of edge conductances. These networks are intended to mimic crack-template-based transparent conductive films as well some random networks produced using nano-imprinting technology. Applying an effective medium theory, we found out that the electrical conductance of such networks is $\approx 0.5852 \sqrt{n_E}$, where $n_E$ is the number density of conductive edges. This dependence is in agreement with numerical calculations in Voronoi networks, although the effective conductances are approximately 15\% larger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective medium theory for the electrical conductance of random resistor networks which mimic crack-template-based transparent conductive films Tarasevich, Yuri Yu. Vodolazskaya, Irina V. Eserkepov, Andrei V. Reis, Fábio D. A. Aarão Disordered Systems and Neural Networks Statistical Mechanics We studied random resistor networks produced with regular structure and random distribution of edge conductances. These networks are intended to mimic crack-template-based transparent conductive films as well some random networks produced using nano-imprinting technology. Applying an effective medium theory, we found out that the electrical conductance of such networks is $\approx 0.5852 \sqrt{n_E}$, where $n_E$ is the number density of conductive edges. This dependence is in agreement with numerical calculations in Voronoi networks, although the effective conductances are approximately 15\% larger. |
| title | Effective medium theory for the electrical conductance of random resistor networks which mimic crack-template-based transparent conductive films |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2403.10241 |