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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{schimming2026structure,
  title = {{Structure and Dynamics of Defects in Two-Dimensional Nematic Liquid Crystals}},
  author = {Cody D. Schimming and Daniel A. Beller},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27278},
  eprint = {2610.27278},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27278},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Structure and Dynamics of Defects in Two-Dimensional Nematic Liquid Crystals
AU  - Cody D. Schimming
AU  - Daniel A. Beller
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.27278
UR  - https://arxiv.org/abs/2610.27278
AB  - 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.
ER  -