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    Multistability in planar liquid crystal wells

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    Type
    Article
    Authors
    Luo, Chong
    Majumdar, Apala
    Erban, Radek
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2012-06-08
    Permanent link to this record
    http://hdl.handle.net/10754/598918
    
    Metadata
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    Abstract
    A planar bistable liquid crystal device, reported in Tsakonas, 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. © 2012 American Physical Society.
    Citation
    Luo C, Majumdar A, Erban R (2012) Multistability in planar liquid crystal wells. Phys Rev E 85. Available: http://dx.doi.org/10.1103/PhysRevE.85.061702.
    Sponsors
    We thank Professor Nigel Mottram and Dr. Peter Howell for helpful discussions. This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). A.M.'s research is also supported by an EPSRC Career Acceleration Fellowship No. EP/J001686/1. The research leading to these results has received funding from the European Research Council under the European Community's Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 239870. R.E. would also like to thank Somerville College, University of Oxford, support from a Fulford Junior Research Fellowship; Brasenose College, University of Oxford, support from a Nicholas Kurti Junior Fellowship; the Royal Society support from a University Research Fellowship, and the Leverhulme Trust for support from a Philip Leverhulme Prize.
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review E
    DOI
    10.1103/PhysRevE.85.061702
    PubMed ID
    23005109
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.85.061702
    Scopus Count
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