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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2503.12555 |
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| _version_ | 1866913800777629696 |
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| author | Yin, Mengdi Zhang, Jing Vvedensky, Dimitri D |
| author_facet | Yin, Mengdi Zhang, Jing Vvedensky, Dimitri D |
| contents | Several authors have suggested that the surfaces of vanishing potential generated by the electrostatic fields from a distribution of point charges resemble triply periodic minimal surfaces (TPMS) corresponding to the positions of the point charges. We provide a theoretical basis for this phenomenological comparison by starting with the Boltzmann equation to show that the surface corresponding to zero charge density is a minimal surface. We then use density-functional calculations for elemental materials that differ electronically and structurally, Na, Cu, and Al, to show that surfaces of vanishing charge density converge to the corresponding TPMS. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Density-Functional Theory and Triply-Periodic Minimal Surfaces Yin, Mengdi Zhang, Jing Vvedensky, Dimitri D Materials Science Several authors have suggested that the surfaces of vanishing potential generated by the electrostatic fields from a distribution of point charges resemble triply periodic minimal surfaces (TPMS) corresponding to the positions of the point charges. We provide a theoretical basis for this phenomenological comparison by starting with the Boltzmann equation to show that the surface corresponding to zero charge density is a minimal surface. We then use density-functional calculations for elemental materials that differ electronically and structurally, Na, Cu, and Al, to show that surfaces of vanishing charge density converge to the corresponding TPMS. |
| title | Density-Functional Theory and Triply-Periodic Minimal Surfaces |
| topic | Materials Science |
| url | https://arxiv.org/abs/2503.12555 |