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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.05435 |
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| _version_ | 1866915459138322432 |
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| author | Khenner, Mikhail |
| author_facet | Khenner, Mikhail |
| contents | Axisymmetric solid-state necking of a single-crystal metallic nanowire in a thermal contact with a substrate and subjected to a surface electromigration current is accompanied by a local current crowding and a sharp rise of a resistivity of a wire material in a thinning neck. This results in a temperature spike at the neck, which feedback affects the necking via thermomigration and the temperature-dependent surface diffusivity of the adatoms. A model that incorporates these effects and couples the nonlinear dynamics of a wire temperature and a wire radius for a necking wire is presented. Conditions on the physical parameters are derived that ensure a straight wire is in the solid state prior to an onset of a morphological instability that ultimately breaks a wire via a pinch-off. The impacts of a wire radius and a wire length on the temperature spike at the break junction are studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05435 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Model-based study of a nanowire heating and dynamic axisymmetric necking by surface electromigration Khenner, Mikhail Mesoscale and Nanoscale Physics Materials Science Mathematical Physics Applied Physics Axisymmetric solid-state necking of a single-crystal metallic nanowire in a thermal contact with a substrate and subjected to a surface electromigration current is accompanied by a local current crowding and a sharp rise of a resistivity of a wire material in a thinning neck. This results in a temperature spike at the neck, which feedback affects the necking via thermomigration and the temperature-dependent surface diffusivity of the adatoms. A model that incorporates these effects and couples the nonlinear dynamics of a wire temperature and a wire radius for a necking wire is presented. Conditions on the physical parameters are derived that ensure a straight wire is in the solid state prior to an onset of a morphological instability that ultimately breaks a wire via a pinch-off. The impacts of a wire radius and a wire length on the temperature spike at the break junction are studied. |
| title | Model-based study of a nanowire heating and dynamic axisymmetric necking by surface electromigration |
| topic | Mesoscale and Nanoscale Physics Materials Science Mathematical Physics Applied Physics |
| url | https://arxiv.org/abs/2507.05435 |