Computing stable configurations of confined smectic liquid crystals with a deep variational framework

arXiv:2609.03389 · cond-mat.soft, cs.LG · Submitted 2026-09-03 · Read on arXiv

cond-mat.soft, cs.LG

Submitted: 2026-09-03

Updated: 2026-09-03

Comments: 13 pages, 6 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Alignment — 8× in this paper · explained in 1 episode
• Core — 5× in this paper · explained in 2 episodes
• Frustration — 5× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Regularization — 4× in this paper · explained in 3 episodes
• Higher-order derivatives — 3× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Topological Defects — 2× in this paper · explained in 2 episodes
• APEX — 1× in this paper · explained in 1 episode
• Ablation study — 1× in this paper · explained in 1 episode
• Loss Function — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• A Geometry-Adaptive Deep Variational Framework for Phase Discovery in the Landau-Brazovskii Model
• Introduction to Q-tensor theory
• Nematic equilibria in isosceles triangles: The effects of edge length and apex angle on solution landscapes in a reduced Landau-de Gennes framework
• Gaussian Error Linear Units (GELUs)

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