Twisted loxodromes in spindle-shaped polymer nematics

Abstract

We develop an energetic model that captures the twisting behavior of spindle-shaped polymer microparticles with nematic ordering, which display remarkably different twisting behavior to ordinary nematics confined to spindles. We have previously developed a geometric model of the twisting, based on experimental observations, in which we showed that the twist pattern follows loxodrome spirals [Ansell et. al., Phys. Rev. Lett., 123, 157801 (2019)]. In this study, we first consider a spindle-shaped surface and show that the loxodrome twisting behavior of our system can be captured by the Frank free energy of the nematic with an additional term constraining the length of the integral curves of the system. We then extend the ideas of this model to the bulk and explore the parameter space for which the twisted loxodrome solution is energetically favorable.

arXiv comment10 pages, 7 figures

References in corpus (6)

• Confinement-Induced Liquid Crystalline Transitions and Chirality Inversion in Amyloid Fibril Cholesteric Tactoids
• Nematic droplets in aqueous dispersions of carbon nanotubes
• Texture and shape of two-dimensional domains of nematic liquid crystal
• Electric-field induced shape transition of nematic tactoids
• Threading the spindle: a geometric study of chiral liquid crystal polymer microparticles
• Effect of Electric Fields on the Director Field and Shape of Nematic Tactoids