From molecular to continuum modelling of bistable liquid crystal devices. Issue 14 (8th December 2017)

• Record Type: Journal Article
• Authors: Robinson, Martin; Luo, Chong; Farrell, Patrick E.; Erban, Radek; Majumdar, Apala
• Is Part Of: Liquid crystals. Volume 44:Issue 14/15(2017)
• Page Start: 2267
• Page End: 2284
• Publication Date: 2017-12-08
• Subjects: Bistable liquid crystals -- bifurcation -- Hard Gaussian Overlap (HGO) -- Gay–Berne -- Lebwohl–Lasher -- Landau-de Gennes; Liquid crystals -- Periodicals; 548.905
• DOI: 10.1080/02678292.2017.1290284
• Languages: English
• ISSNs: 0267-8292

Abstract

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. GRAPHICAL ABSTRACT: