Electrical conductivity of a random nanowire network: comparison of two-dimensional and quasi-three-dimensional models
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917371002748928 |
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| author | Tarasevich, Yuri Yu. Eserkepov, Andrei V. |
| author_facet | Tarasevich, Yuri Yu. Eserkepov, Andrei V. |
| contents | Although the two-dimensional model of random networks of metallic nanowires or carbon nanotubes is widely used, it significantly overestimates the number of contacts between elements compared to quasi-three-dimensional models. This, within the mean-field approximation, leads to overestimates of the electrical conductivity, especially when the main contribution to the system's electrical conductivity comes from the contact resistances between the conductors. In the two-dimensional model, the system's electrical conductivity depends quadratically on the conductor density, whereas in the three-dimensional model, this dependence is linear. We propose a simple modification of a two-dimensional model, which can capture the saturation effect of the number of contacts per conductor in a real nanowire network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22734 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Electrical conductivity of a random nanowire network: comparison of two-dimensional and quasi-three-dimensional models Tarasevich, Yuri Yu. Eserkepov, Andrei V. Disordered Systems and Neural Networks Statistical Mechanics Although the two-dimensional model of random networks of metallic nanowires or carbon nanotubes is widely used, it significantly overestimates the number of contacts between elements compared to quasi-three-dimensional models. This, within the mean-field approximation, leads to overestimates of the electrical conductivity, especially when the main contribution to the system's electrical conductivity comes from the contact resistances between the conductors. In the two-dimensional model, the system's electrical conductivity depends quadratically on the conductor density, whereas in the three-dimensional model, this dependence is linear. We propose a simple modification of a two-dimensional model, which can capture the saturation effect of the number of contacts per conductor in a real nanowire network. |
| title | Electrical conductivity of a random nanowire network: comparison of two-dimensional and quasi-three-dimensional models |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2601.22734 |