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math-ph2026
Using the Renormalized Energy from Ginzburg-Landau Theory to Compute Solution Landscapes in the Reduced Landau-de Gennes Theory
Yucen Han, Apala Majumdar
We study nematic liquid crystal phases confined to bounded, two-dimensional (2D) domains, in the reduced Landau-de Gennes (rLdG) theoretical framework. The rLdG framework is equiva…
cond-mat.soft2026
Computing stable configurations of confined smectic liquid crystals with a deep variational framework
Yuchen Xie, Baoming Shi, Yucen Han +1
Smectic liquid crystals are layered liquid-crystalline phases characterized by orientational order and periodic density modulation. Although their structures can be modeled using c…
cond-mat.soft2026
Nematic equilibria in isosceles triangles: The effects of edge length and apex angle on solution landscapes in a reduced Landau-de Gennes framework
Prabakaran Rajamanickam, Yucen Han, Thuriya Alhinai +1
We study equilibrium configurations of nematic liquid crystals confined to two-dimensional isosceles triangles, subject to tangent boundary conditions. This toy problem is motivate…