Revisiting the Two-Dimensional Defect-Free Azimuthal Nematic Equilibrium on an Annulus
Type
ArticleKAUST Grant Number
KUK-C1-013-04Date
2017-01Permanent link to this record
http://hdl.handle.net/10754/668530
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We study the azimuthal defect-free nematic state on a two-dimensional annulus within a simplified and reduced two-dimensional Landau-de Gennes model for nematic liquid crystals. We perform a detailed asymptotic analysis of the instabilities of the defect-free state in terms of a dimensionless material and temperature-dependent variable and the annular aspect ratio. The asymptotic analysis is accompanied by a rigorous local stability result, again in terms of a dimensionless material and temperature-dependent parameter and annular aspect ratio. In contrast to Oseen-Frank predictions, the defect-free state can be unstable in this model, with elastic isotropy and strong anchoring, for a range of macroscopically relevant annular aspect ratios.Citation
Lewis, A. H., Aarts, D. G. A. L., Howell, P. D., & Majumdar, A. (2017). Revisiting the Two-Dimensional Defect-Free Azimuthal Nematic Equilibrium on an Annulus. SIAM Journal on Applied Mathematics, 77(6), 1851–1875. doi:10.1137/17m1124656Sponsors
This publication is partly based on work supported by award KUK-C1-013-04 from the King Abdullah University of Science and Technology (KAUST). The first author's work was supported by the Engineering and Physical Sciences Research Council (EPSRC) studentship. The fourth author's work was supported by an EPSRC Career Acceleration Fellowship EP/J001686/1 and EP/J001686/2, an OCIAM Visiting Fellowship, a UK Fluids Short Research Visit grant, and the Keble Advanced Studies Centre.Additional Links
https://epubs.siam.org/doi/10.1137/17M1124656ae974a485f413a2113503eed53cd6c53
10.1137/17m1124656