Structure and Dynamics of Defects in Two-Dimensional Nematic Liquid Crystals

Cody D. Schimming; Daniel A. Beller

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arXiv · 2610.27278

Structure and Dynamics of Defects in Two-Dimensional Nematic Liquid Crystals

Cody D. Schimming·Daniel A. Beller

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Abstract

Topological defects in nematic liquid crystals have recently received renewed interest due to their important role in non-equilibrium active materials and developing biological systems. While many studies have focused on simulating defect behaviors in these non-equilibrium situations, there has also been recent progress in our analytical understanding of defect morphology and behavior in a number of complicated regimes, such as intricate boundary conditions, anisotropic elasticity, or the presence of flows. Here, we review the analytical theory of disclination structure and dynamics in two-dimensional nematic liquid crystals, highlighting recent methods and results.

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Cody D. Schimming, Daniel A. Beller. 2026-10-19. Structure and Dynamics of Defects in Two-Dimensional Nematic Liquid Crystals. https://arxiv.org/abs/2610.27278

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