From molecular to continuum modelling of bistable liquid crystal devices |
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| Authors: | Martin Robinson Chong Luo Patrick E. Farrell Radek Erban Apala Majumdar |
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| Affiliation: | 1. Department of Computer Science, University of Oxford, Oxford, UKmartin.robinson@cs.ox.ac.uk;3. Google Inc., Mountain View, CA, USA;4. Mathematical Institute, Radcliffe Observatory Quarter, University of Oxford, Oxford, UK;5. Center for Biomedical Computing, Simula Research Laboratory, Fornebu, Norway;6. Department of Mathematical Sciences, University of Bath, Bath, UK |
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| 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 lattice-based 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 21 different equilibria. Of these, two are physically stable. |
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| Keywords: | Bistable liquid crystals bifurcation Hard Gaussian Overlap (HGO) Gay–Berne Lebwohl–Lasher Landau-de Gennes |
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