From molecular to continuum modelling of bistable liquid crystal devices

Martin Robinson, Chong Luo, Patrick E. Farrell, Radek Erban, Apala Majumdar

Research output: Contribution to journalArticle

19 Citations (Scopus)
6 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)2267-2284
Number of pages18
JournalLiquid Crystals
Volume44
Issue number14-15
DOIs
Publication statusPublished - 21 Feb 2017

Keywords

  • bistable liquid crystals
  • bifurcation
  • hard gaussian overlap (HGO)
  • Gay–Berne
  • Lebwohl–Lasher
  • Landau-de Gennes

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