2019
DOI: 10.1103/physrevx.9.021004
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Point Defects, Topological Chirality, and Singularity Theory in Cholesteric Liquid-Crystal Droplets

Abstract: We develop a theory of point defects in cholesterics and textures in spherical droplets with normal anchoring. The local structure of chiral defects is described by singularity theory and a smecticlike gradient field establishing a nexus between cholesterics and smectics mediated by their defects. We identify the defects of degree −2 and −3 observed experimentally with the singularities D − 4 and T4,4,4, respectively. Radial point defects typical of nematics cannot be perturbed into chiral structures with a si… Show more

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Cited by 30 publications
(34 citation statements)
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References 59 publications
(86 reference statements)
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“…At much larger length scales (e.g. mm), continuum mechanics calculations yield results which positively correlate with experiments [29][30][31]. The mesoscale region in between remains difficult to explore computationally, although we have recently demonstrated a phenomenological correspondence between coarsegrained simulations and continuum studies which could prove useful to develop accurate multiscale studies for LC droplets [32].…”
Section: Introductionmentioning
confidence: 52%
“…At much larger length scales (e.g. mm), continuum mechanics calculations yield results which positively correlate with experiments [29][30][31]. The mesoscale region in between remains difficult to explore computationally, although we have recently demonstrated a phenomenological correspondence between coarsegrained simulations and continuum studies which could prove useful to develop accurate multiscale studies for LC droplets [32].…”
Section: Introductionmentioning
confidence: 52%
“…Oblate CLC droplets have an average aspect ratio of l = a / b ≈ 2.5, where a and b are the lengths of the semi‐major and semi‐minor axes, respectively, as measured by the fluorescent confocal microscope images in Figure S2 and Movie S1, Supporting Information. Accompanying the shape deformation, the point defect in the spherical CLC droplet changes to a ring defect in the oblate CLC droplet under the constraint of constant layer spacing, [ 49,50 ] as directly confirmed by the time sequences shown in Figure 2e and Movie S2, Supporting Information. Within the ring defect, that is, the central region of the oblate droplets, the helical axis of CLCs is perpendicular to the horizontal film plane and is suggested by the circular symmetry of the oblate CLC droplets, as shown in Figure S3, Supporting Information.…”
Section: Figurementioning
confidence: 73%
“…Microfluidic functionality can be further expanded by using fluids with internal structure, such as for example nematic liquid crystals, where transport of colloidal cargo 20 , electric field switching of channel resistivity 21 , fabrication of microresonators 22 , manipulation of colloidal particles by groovy interfaces 23,24 , and generation of intertwined field structures 25 have been demonstrated utilizing nematic orientational order and high responsiveness to external fields. Liquid crystals can form complex orientational structures 26 , which are then strongly coupled to the material flow 27 and can lead to flow-induced structural transitions 28 and also activity-driven microfluidics 29 . In a nematic microchannel, the effective fluid resistance is dependent on the orientation profile (director field) of the nematic molecules.…”
Section: Field Generated Nematic Microflows Via Backflow Mechanismmentioning
confidence: 99%