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arXiv · 2601.22734

Electrical conductivity of a random nanowire network: comparison of two-dimensional and quasi-three-dimensional models

Yuri Yu. Tarasevich·Andrei V. Eserkepov
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Abstract

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.

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Yuri Yu. Tarasevich, Andrei V. Eserkepov. 2026-01-30. Electrical conductivity of a random nanowire network: comparison of two-dimensional and quasi-three-dimensional models. https://doi.org/10.1209/0295-5075%2Fae4d83

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