Annihilation trajectory of defects in smectic-C films

Area of Science:

• Condensed matter physics
• Soft matter physics

Background:

• Topological defects in two-dimensional liquid crystals act as oriented particles.
• Existing theories predict defect annihilation trajectories based on relative orientation.
• Experiments on smectic-C films show curved trajectories but deviate from detailed predictions.

Purpose of the Study:

• To investigate the discrepancy between theoretical predictions and experimental observations of defect trajectories in smectic-C films.
• To extend existing theories by incorporating elastic anisotropy effects.

Main Methods:

• Theoretical modeling of topological defect interactions in liquid crystals.
• Inclusion of elastic anisotropy into theoretical frameworks.
• Comparison of theoretical predictions with experimental data from smectic-C films.

Main Results:

• The extended theory accurately reproduces the curved trajectories observed in experiments.
• Elastic anisotropy is identified as a crucial factor influencing the detailed relationship between defect orientation and the far-field director.
• The modified theory provides a better explanation for experimental findings.

Conclusions:

• Elastic anisotropy significantly impacts the dynamics and trajectories of annihilating topological defects in liquid crystals.
• The study refines theoretical models for liquid crystal defect behavior, aligning them more closely with experimental results.
• This work enhances the understanding of topological defect interactions in anisotropic soft materials.