- 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
- Files:
-
-
(pdf, 4.1mb)
-
- Publisher copy:
- 10.1080/02678292.2017.1290284
-
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- Grant:
- EP/K030930/1, EP/J001686/1, EP/J001686/2
- 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
- Copyright holder:
- Robinson et al.
- Copyright date:
- 2017
- Notes:
- © 2017 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution License.
Journal article
From molecular to continuum modelling of bistable liquid crystal devices
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John Fell Fund
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Royal Society
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+ Engineering and Physical Sciences Research Council
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+ Research Council of Norway
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