Singularity identification for the characterization of topology, geometry, and motion of nematic disclination lines
arXiv:2202.00707 · doi:10.1039/D1SM01584B
Abstract
We introduce a characterization of disclination lines in three dimensional nematic liquid crystals as a tensor quantity related to the so called rotation vector around the line. This quantity is expressed in terms of the nematic tensor order parameter , and shown to decompose as a dyad involving the tangent vector to the disclination line and the rotation vector. Further, we derive a kinematic law for the velocity of disclination lines by connecting this tensor to a topological charge density as in the Halperin-Mazenko description of defects in vector models. Using this framework, analytical predictions for the velocity of interacting line disclinations and of self-annihilating disclination loops are given and confirmed through numerical computation.
arXiv comment11 pages, 7 figures
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- Analytical model for the motion and interaction of two-dimensional active nematic defects
- Applications of the Peach-Koehler Force in Liquid Crystals
- Turbulence to order transitions in activity patterned active nematics
- Emergent fracton strings from covariant bi-form gauge field theory