Nematic Tactoid Population

Abstract

Tactoids are pointed, spindle-like droplets of nematic liquid crystal in an isotropic fluid. They have long been observed in inorganic and organic nematics, in thermotropic phases as well as lyotropic colloidal aggregates. The variational problem of determining the optimal shape of a nematic droplet is formidable and has only been attacked in selected classes of shapes and director fields. Here, by considering a novel class of admissible solutions for a bipolar droplet, we study the prevalence in the population of all equilibrium shapes of each of the three that may be optimal (tactoids primarily among them). We show how the prevalence of a shape is affected by the drop's volume $V_0$ and the saddle-splay constant $K_{24}$ of the material. Tactoids, in particular, prevail for small $V_0$ and small $K_{24}$ (appropriately scaled). Our class of shapes (and director fields) is sufficiently different from those employed so far to unveil a rather different role of $K_{24}$.

References in corpus (5)

• Morphogenesis of defects and tactoids during isotropic-nematic phase transition in self-assembled lyotropic chromonic liquid crystals
• Interpretation of saddle-splay and the Oseen-Frank free energy in liquid crystals
• Nematic droplets in aqueous dispersions of carbon nanotubes
• Parity Breaking in Nematic Tactoids
• Liquid Crystal Distortions Revealed by an Octupolar Tensor

Cited by in corpus (3)

• A nematic liquid crystal with an immersed body: equilibrium, stress, and paradox
• Equilibrium morphology of tactoids in elastically anisotropic nematics
• Shape Bistability in Squeezed Chromonic Droplets