Topology and bistability in liquid crystal devices

A. Majumdar*, C. J. P. Newton, J. M. Robbins, M. Zyskin

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

22 Citations (Scopus)

Abstract

We study nematic liquid crystal configurations in a prototype bistable device-the post aligned bistable nematic (PABN) cell. Working within the Oseen-Frank continuum model, we describe the liquid crystal configuration by a unit-vector field n, in a model version of the PABN cell. First, we identify four distinct topologies in this geometry. We explicitly construct trial configurations with these topologies which are used as initial conditions for a numerical solver, based on the finite-element method. The morphologies and energetics of the corresponding numerical solutions qualitatively agree with experimental observations and suggest a topological mechanism for bistability in the PABN cell geometry.

Original languageEnglish
Article number051703
Number of pages11
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume75
Issue number5
DOIs
Publication statusPublished - May 2007

Keywords

  • CONVEX POLYHEDRA
  • ALIGNMENT

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