Distortional Lifshitz Vectors and Helicity in Nematic Free Energy Density

Abstract

Here we discuss the free energy of nematic liquid crystals using two vectors and the helicity, with the aim of having a compact form of its density. The two vectors are due to the splay and bend distortions of the director field. They have a polar nature, whereas the helicity is a pseudoscalar.

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DOI

10.48550/arxiv.1207.2918

Citations and references