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From molecular to continuum modelling of bistable liquid crystal devices

Abstract:
We study nematic equilibria on a square with tangent Dirichlet conditions on the edges, in three different modelling frameworks: (i) the off-lattice Hard Gaussian Overlap and Gay-Berne models; (ii) the latticebased Lebwohl-Lasher model; and the (iii) two-dimensional Landau-de Gennes model. We compare the modelling predictions, identify regimes of agreement and in the Landau-de Gennes case, find up to 81 different equilibria. Of these, 6 are physically stable, reducing to 2 if rotational symmetries are discounted.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1080/02678292.2017.1290284

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
More by this author
Institution:
University of Oxford
Department:
Christ Church
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Majumdar, A More by this author
John Fell Fund More from this funder
Royal Society More from this funder
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Grant:
Center of Excellence to Simula Research Laboratory
Publisher:
Taylor and Francis Publisher's website
Journal:
Liquid Crystals Journal website
Volume:
44
Issue:
14-15
Pages:
2267-2284
Publication date:
2017-02-21
Acceptance date:
2017-01-31
DOI:
EISSN:
1366-5855
ISSN:
0267-8292
Pubs id:
pubs:675151
URN:
uri:4367d61f-6e86-4618-9891-98276b76a64c
UUID:
uuid:4367d61f-6e86-4618-9891-98276b76a64c
Local pid:
pubs:675151
Paper number:
14-15

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