Liquid crystals with molecules constrained to the tangent bundle of a curved surface show
interesting phenomena resulting from the tight coupling of the elastic and bulk-free energies …

We examine the optical properties of two different configurations of an ordered liquid crystal
film on a catenoid forming coreless disclinations. We find the effective optical metric from …

Chiral liquid crystals (ChLCs) exhibit an inherent twist that originates at the molecular scale
and can extend over multiple length scales when unconstrained. Under confinement, the …

We investigate the effects of extrinsic curvature on the turbulent behavior of a 2D active
nematic confined to the surface of a cylinder. The surface of a cylinder has no intrinsic …

Deep neural network (DNN) has gone through more than forty years from the simulation
stage to the embryonic stage, to the conception and the initial formation of the theory, until …

In two dimensional nematics, topological defects are point like singularities with both a
charge and a phase. We study the topological defects within curved nematic textures on the …

A nematic liquid crystal, a phase of matter composed of rodlike molecules, exhibits a
tendency towards uniform molecular alignment. Bodies inserted into such a fluid can disturb …

We use theory and numerical computation to determine the shape of an axisymmetric fluid
membrane with a resistance to bending and constant area. The membrane connects two …

An elastic membrane with embedded nematic molecules is considered as a model of
anisotropic fluid membrane with internal ordering. By considering the geometric coupling …

Nematic surfaces are thin fluid structures, ideally two-dimensional, endowed with an in-
plane nematic order. In 2012, two variational models have been introduced by Giomi [10] …