Entanglement of vortices in the Ginzburg--Landau equations for superconductors
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909105339236352 |
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| author | Enciso, Alberto Peralta-Salas, Daniel |
| author_facet | Enciso, Alberto Peralta-Salas, Daniel |
| contents | In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg--Landau equations which indeed have this property, as they exhibit entangled vortex lines of arbitrary topological complexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08760 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement of vortices in the Ginzburg--Landau equations for superconductors Enciso, Alberto Peralta-Salas, Daniel Mathematical Physics Analysis of PDEs In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg--Landau equations which indeed have this property, as they exhibit entangled vortex lines of arbitrary topological complexity. |
| title | Entanglement of vortices in the Ginzburg--Landau equations for superconductors |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2402.08760 |