Solution Structure and Preferred Orientation of 3,7-Dichloro-10H-phenothiazine Dissolved in Nematic Liquid Crystal

Nematic Liquid-Crystal Colloids

This article provides a concise review of a new state of colloidal matter called nematic liquid-crystal colloids. These colloids are obtained by dispersing microparticles of different shapes in a nematic liquid crystal that acts as a solvent for the dispersed particles. The microparticles induce a local deformation of the liquid crystal, which then generates topological defects and long-range f...

Threshold Flexoelectric Effect in Nematic Liquid Crystal

Microscale locomotion in a nematic liquid crystal.

Microorganisms often encounter anisotropy, for example in mucus and biofilms. We study how anisotropy and elasticity of the ambient fluid affects the speed of a swimming microorganism with a prescribed stroke. Motivated by recent experiments on swimming bacteria in anisotropic environments, we extend a classical model for swimming microorganisms, the Taylor swimming sheet, actuated by small-amp...

Work fluctuations in a nematic liquid crystal

The orientation fluctuations of the director of a liquid crystal are measured, by a sensitive polarization interferometer, close to the Fréedericksz transition, which is a second order transition driven by an electric field. Using mean field theory, we define the work injected into the system by a change of the electric field and we calibrate it using Fluctuation-Dissipation Theorem. We show th...

Well-posedness of Nematic Liquid Crystal Flow

In this paper, we establish the local well-posedness for the Cauchy problem of the simplified version of hydrodynamic flow of nematic liquid crystals (1.1) in R3 for any initial data (u0, d0) having small L3 uloc -norm of (u0,∇d0). Here L3uloc(R 3) is the space of uniformly locally L3-integrable functions. For any initial data (u0, d0) with small ‖(u0,∇d0)‖L3(R3), we show that there exists a un...