Curvature Potential Unveiled Topological Defect Attractors
We consider the theoretical and positional assembling of topological defects (TDs) in effectively two-dimensional nematic liquid crystal films. We use a phenomenological Helfrich–Landau–de Gennes-type mesoscopic model in which geometric shapes and nematic orientational order are expressed in terms o...
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| Format: | Article |
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MDPI AG
2021-05-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/5/539 |
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| author | Luka Mesarec Aleš Iglič Veronika Kralj-Iglič Wojciech Góźdź Epifanio G. Virga Samo Kralj |
| author_facet | Luka Mesarec Aleš Iglič Veronika Kralj-Iglič Wojciech Góźdź Epifanio G. Virga Samo Kralj |
| author_sort | Luka Mesarec |
| collection | DOAJ |
| description | We consider the theoretical and positional assembling of topological defects (TDs) in effectively two-dimensional nematic liquid crystal films. We use a phenomenological Helfrich–Landau–de Gennes-type mesoscopic model in which geometric shapes and nematic orientational order are expressed in terms of a curvature tensor field and a nematic tensor order parameter field. Extrinsic, intrinsic, and total curvature potentials are introduced using the parallel transport concept. These potentials reveal curvature seeded TD attractors. To test ground configurations, we used axially symmetric nematic films exhibiting spherical topology. |
| first_indexed | 2024-03-10T11:28:34Z |
| format | Article |
| id | doaj.art-36a70e97b2dd4539ad8939f078f09353 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T11:28:34Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-36a70e97b2dd4539ad8939f078f093532023-11-21T19:26:45ZengMDPI AGCrystals2073-43522021-05-0111553910.3390/cryst11050539Curvature Potential Unveiled Topological Defect AttractorsLuka Mesarec0Aleš Iglič1Veronika Kralj-Iglič2Wojciech Góźdź3Epifanio G. Virga4Samo Kralj5Laboratory of Physics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000 Ljubljana, SloveniaLaboratory of Physics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000 Ljubljana, SloveniaFaculty of Health Sciences, University of Ljubljana, Zdravstvena pot 5, 1000 Ljubljana, SloveniaInstitute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, PolandDepartment of Mathematics, University of Pavia, 27100 Pavia, ItalyCondensed Matter Physics Department, Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, SloveniaWe consider the theoretical and positional assembling of topological defects (TDs) in effectively two-dimensional nematic liquid crystal films. We use a phenomenological Helfrich–Landau–de Gennes-type mesoscopic model in which geometric shapes and nematic orientational order are expressed in terms of a curvature tensor field and a nematic tensor order parameter field. Extrinsic, intrinsic, and total curvature potentials are introduced using the parallel transport concept. These potentials reveal curvature seeded TD attractors. To test ground configurations, we used axially symmetric nematic films exhibiting spherical topology.https://www.mdpi.com/2073-4352/11/5/539topological defectsnematic liquid crystalsnematic shellsgeometric potentialscurvature |
| spellingShingle | Luka Mesarec Aleš Iglič Veronika Kralj-Iglič Wojciech Góźdź Epifanio G. Virga Samo Kralj Curvature Potential Unveiled Topological Defect Attractors Crystals topological defects nematic liquid crystals nematic shells geometric potentials curvature |
| title | Curvature Potential Unveiled Topological Defect Attractors |
| title_full | Curvature Potential Unveiled Topological Defect Attractors |
| title_fullStr | Curvature Potential Unveiled Topological Defect Attractors |
| title_full_unstemmed | Curvature Potential Unveiled Topological Defect Attractors |
| title_short | Curvature Potential Unveiled Topological Defect Attractors |
| title_sort | curvature potential unveiled topological defect attractors |
| topic | topological defects nematic liquid crystals nematic shells geometric potentials curvature |
| url | https://www.mdpi.com/2073-4352/11/5/539 |
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