Topology and Bistability in liquid crystal devices

Details Topology and Bistability in liquid crystal devices Topology and Bistability in liquid crystal devices

2006-11-08

arxiv.org/abs/math-ph/0611016v1

Physics

Mathematical Physics

Scientific paper

10.1103/PhysRevE.75.051703

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, in a model version of the PABN cell. Firstly, 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.

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