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 …

An exact kinematic law for the motion of disclination lines in nematic liquid crystals as a
function of the tensor order parameter Q is derived. Unlike other order parameter fields that …

We consider the one-constant Landau-de Gennes model for nematic liquid crystals. The
order parameter is a traceless tensor field QQ, which is constrained to be uniaxial: Q= s (n ⊗ …

We study minimizers of the Landau-de Gennes energy in R 3\B 1 (0) with external magnetic
field in the large particle limit. We impose strong tangential anchoring and uniaxiality of the …

We present a numerical method, based on a tensor order parameter description of a nematic
phase, that allows fully anisotropic elasticity. Our method thus extends the Landau-de …

We present numerical solutions to the Landau-de Gennes free-energy model under the one-
constant approximation for systems of single and double spherical colloidal particles …

Numerical modeling of nematic liquid crystals using the tensorial Landau-de Gennes (LdG)
theory provides detailed insights into the structure and energetics of the enormous variety of …

We present a robust discretization of the Ericksen model of liquid crystals with variable
degree of orientation coupled with colloidal effects and electric fields. The total energy …

We consider a nematic liquid crystal occupying the exterior region in R^ 3 R 3 outside of a
spherical particle, with radial strong anchoring. Within the context of the Landau-de Gennes …

Colloids of nanometric size dispersed in a nematic environment are simulated using a
hybrid algorithm that combines rules from Multi-particle Collision Dynamics and Molecular …