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arXiv · 1503.03670

Instability of point defects in a two-dimensional nematic liquid crystal model

Radu Ignat·Luc Nguyen·Valeriy Slastikov·Arghir Zarnescu
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Abstract

We study a class of symmetric critical points in a variational $2D$ Landau - de Gennes model where the state of nematic liquid crystals is described by symmetric traceless $3\times 3$ matrices. These critical points play the role of topological point defects carrying a degree $\frac k 2$ for a nonzero integer $k$. We prove existence and study the qualitative behavior of these symmetric solutions. Our main result is the instability of critical points when $k\neq \pm 1, 0$.

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Radu Ignat, Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu. 2015-03-12. Instability of point defects in a two-dimensional nematic liquid crystal model. https://doi.org/10.1016/j.anihpc.2015.03.007

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