From molecular to continuum modelling of bistable liquid crystal devices

Robinson, Martin and Luo, Chong and Farrell, Patrick E. and Erban, Radek and Majumdar, Apala (2017) From molecular to continuum modelling of bistable liquid crystal devices. Liquid Crystals, 44 (14-15). pp. 2267-2284. ISSN 0267-8292

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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.