Multistability in planar liquid crystal wells.
A planar bistable liquid crystal device, reported in Tsakonas et al. [Appl. Phys. Lett. 90, 111913 (2007)], is modeled within the Landau-de Gennes theory for nematic liquid crystals. This planar device consists of an array of square micrometer-sized wells. We obtain six different classes of equilibr...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1826301206953197568 |
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| author | Luo, C Majumdar, A Erban, R |
| author_facet | Luo, C Majumdar, A Erban, R |
| author_sort | Luo, C |
| collection | OXFORD |
| description | A planar bistable liquid crystal device, reported in Tsakonas et al. [Appl. Phys. Lett. 90, 111913 (2007)], is modeled within the Landau-de Gennes theory for nematic liquid crystals. This planar device consists of an array of square micrometer-sized wells. We obtain six different classes of equilibrium profiles and these profiles are classified as diagonal or rotated solutions. In the strong anchoring case, we propose a Dirichlet boundary condition that mimics the experimentally imposed tangent boundary conditions. In the weak anchoring case, we present a suitable surface energy and study the multiplicity of solutions as a function of the anchoring strength. We find that diagonal solutions exist for all values of the anchoring strength W ≥ 0, while rotated solutions only exist for W ≥ W_{c}>0, where W_{c} is a critical anchoring strength that has been computed numerically. We propose a dynamic model for the switching mechanisms based on only dielectric effects. For sufficiently strong external electric fields, we numerically demonstrate diagonal-to-rotated and rotated-to-diagonal switching by allowing for variable anchoring strength across the domain boundary. |
| first_indexed | 2024-03-07T05:28:53Z |
| format | Journal article |
| id | oxford-uuid:e184eb0b-1ee3-46c8-9684-6096144dd61a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:28:53Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:e184eb0b-1ee3-46c8-9684-6096144dd61a2022-03-27T09:55:00ZMultistability in planar liquid crystal wells.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e184eb0b-1ee3-46c8-9684-6096144dd61aEnglishSymplectic Elements at Oxford2012Luo, CMajumdar, AErban, RA planar bistable liquid crystal device, reported in Tsakonas et al. [Appl. Phys. Lett. 90, 111913 (2007)], is modeled within the Landau-de Gennes theory for nematic liquid crystals. This planar device consists of an array of square micrometer-sized wells. We obtain six different classes of equilibrium profiles and these profiles are classified as diagonal or rotated solutions. In the strong anchoring case, we propose a Dirichlet boundary condition that mimics the experimentally imposed tangent boundary conditions. In the weak anchoring case, we present a suitable surface energy and study the multiplicity of solutions as a function of the anchoring strength. We find that diagonal solutions exist for all values of the anchoring strength W ≥ 0, while rotated solutions only exist for W ≥ W_{c}>0, where W_{c} is a critical anchoring strength that has been computed numerically. We propose a dynamic model for the switching mechanisms based on only dielectric effects. For sufficiently strong external electric fields, we numerically demonstrate diagonal-to-rotated and rotated-to-diagonal switching by allowing for variable anchoring strength across the domain boundary. |
| spellingShingle | Luo, C Majumdar, A Erban, R Multistability in planar liquid crystal wells. |
| title | Multistability in planar liquid crystal wells. |
| title_full | Multistability in planar liquid crystal wells. |
| title_fullStr | Multistability in planar liquid crystal wells. |
| title_full_unstemmed | Multistability in planar liquid crystal wells. |
| title_short | Multistability in planar liquid crystal wells. |
| title_sort | multistability in planar liquid crystal wells |
| work_keys_str_mv | AT luoc multistabilityinplanarliquidcrystalwells AT majumdara multistabilityinplanarliquidcrystalwells AT erbanr multistabilityinplanarliquidcrystalwells |