Properties of surface Landau-de Gennes Q-tensor models
Uniaxial nematic liquid crystals whose molecular orientation is subjected to tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of freedom. We consider a general thin film limit of a Landau-de Genne...
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| Veröffentlicht in: | Soft matter 2020-04, Vol.16 (16), p.4032-4042 |
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| creator | Nestler, Michael Nitschke, Ingo Löwen, Hartmut Voigt, Axel |
| description | Uniaxial nematic liquid crystals whose molecular orientation is subjected to tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of freedom. We consider a general thin film limit of a Landau-de Gennes Q-tensor model which retains the characteristics of the 3D model. From this, previously proposed surface models follow as special cases. We compare fundamental properties, such as the alignment of the orientational degrees of freedom with principle curvature lines, order parameter symmetry and phase transition type for these models, and suggest experiments to identify suitable model assumptions. |
| doi_str_mv | 10.1039/c9sm02475a |
| format | Article |
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| ispartof | Soft matter, 2020-04, Vol.16 (16), p.4032-4042 |
| issn | 1744-683X 1744-6848 |
| language | eng |
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| source | Royal Society Of Chemistry Journals 2008-; Alma/SFX Local Collection |
| subjects | Anchoring Crystal structure Crystals Degrees of freedom Liquid crystals Nematic crystals Order parameters Phase transitions Tensors Thin films Three dimensional models Topology |
| title | Properties of surface Landau-de Gennes Q-tensor models |
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