Title: | Curvature potential unveiled topological defect attractors |
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Authors: | ID Mesarec, Luka (Author) ID Iglič, Aleš (Author) ID Kralj-Iglič, Veronika (Author) ID Góźdź, Wojciech (Author) ID Virga, Epifanio Giovanni (Author) ID Kralj, Samo (Author) |
Files: | Mesarec-2021-Curvature_Potential_Unveiled_Topo.pdf (3,69 MB) MD5: F2500B7913CE8C9CEFD242D08FF98876
https://doi.org/10.3390/cryst11050539
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Language: | English |
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Work type: | Scientific work |
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Typology: | 1.01 - Original Scientific Article |
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Organization: | FNM - Faculty of Natural Sciences and Mathematics
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Abstract: | 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. |
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Keywords: | topological defects, nematic liquid crystals, nematic shells, geometric potentials, curvature |
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Publication status: | Published |
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Publication version: | Version of Record |
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Submitted for review: | 27.04.2021 |
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Article acceptance date: | 07.05.2021 |
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Publication date: | 12.05.2021 |
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Publisher: | MDPI |
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Year of publishing: | 2021 |
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Number of pages: | Str. 1-16 |
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Numbering: | Letn. 11, Št. 5, št. članka 539 |
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PID: | 20.500.12556/DKUM-90859 |
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UDC: | 548/549 |
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ISSN on article: | 2073-4352 |
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COBISS.SI-ID: | 63076611 |
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DOI: | 10.3390/cryst11050539 |
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Publication date in DKUM: | 30.09.2024 |
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Views: | 0 |
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Downloads: | 7 |
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Metadata: | |
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Categories: | Misc.
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