Handle URI:
http://hdl.handle.net/10754/598918
Title:
Multistability in planar liquid crystal wells
Authors:
Luo, Chong; Majumdar, Apala; Erban, Radek
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.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
8-Jun-2012
DOI:
10.1103/PhysRevE.85.061702
PubMed ID:
23005109
Type:
Article
ISSN:
1539-3755; 1550-2376
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLuo, Chongen
dc.contributor.authorMajumdar, Apalaen
dc.contributor.authorErban, Radeken
dc.date.accessioned2016-02-25T13:43:42Zen
dc.date.available2016-02-25T13:43:42Zen
dc.date.issued2012-06-08en
dc.identifier.citationLuo 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.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23005109en
dc.identifier.doi10.1103/PhysRevE.85.061702en
dc.identifier.urihttp://hdl.handle.net/10754/598918en
dc.description.abstractA 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.en
dc.description.sponsorshipWe 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.en
dc.publisherAmerican Physical Society (APS)en
dc.titleMultistability in planar liquid crystal wellsen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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