Boojums in Liquid Crystals Around a Colloid
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908773162942464 |
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| author | Huang, Yuchen Yu, Yong |
| author_facet | Huang, Yuchen Yu, Yong |
| contents | We study the Landau-de Gennes theory in the one constant limit. The bulk domain is the exterior of a spherical colloid. A Rapini-Papoular surface potential is imposed on the colloid surface, supplemented by a homogeneous far-field condition at spatial infinity. Under the axially symmetric ansatz and the Lyuksyutov constraint, we show that energy minimizers exhibit boojum disclinations at the two poles of the colloid. The local structure of these boojum disclinations is also characterized. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_12065 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boojums in Liquid Crystals Around a Colloid Huang, Yuchen Yu, Yong Analysis of PDEs 35J20, 76A15 We study the Landau-de Gennes theory in the one constant limit. The bulk domain is the exterior of a spherical colloid. A Rapini-Papoular surface potential is imposed on the colloid surface, supplemented by a homogeneous far-field condition at spatial infinity. Under the axially symmetric ansatz and the Lyuksyutov constraint, we show that energy minimizers exhibit boojum disclinations at the two poles of the colloid. The local structure of these boojum disclinations is also characterized. |
| title | Boojums in Liquid Crystals Around a Colloid |
| topic | Analysis of PDEs 35J20, 76A15 |
| url | https://arxiv.org/abs/2601.12065 |