Study on concentric configuration of nematic liquid crystal droplet by Landau-de Gennes theory

References

• Virga EG. Variational theories for liquid crystals. London(UK): Chapman Hall; 1994.
   Google Scholar
• Crawford GP, Žumer S. Liquid crystals in complex geometries: formed by polymer and porous networks. London(UK): Taylor & Francis; 1996.
   Google Scholar
• Kleman M, Lavrentovich OD. Soft matter physics: an introduction. Heidelberg(GER): Springer; 2003.
   Google Scholar
• Ondris-Crawford R, Boyko EP, Wagner BG, et al. Microscope textures of nematic droplets in polymer dispersed liquid crystals. J Appl Phys. 1991;69(9):6380–6386.
   Web of Science ®Google Scholar
• Doane J, Golemme A, West JL, et al. Polymer dispersed liquid crystals for display application. Mol Cryst Liq Cryst. 1988;165:511–532.
   Web of Science ®Google Scholar
• Jiang J, McGraw G, Ma R, et al. Selective scattering polymer dispersed liquid crystal film for light enhancement of organic light emitting diode. Opt Express. 2017;25(4):3327–3335.
   PubMed Web of Science ®Google Scholar
• Malik P, Raina K. Droplet orientation and optical properties of polymer dispersed liquid crystal composite films. Opt Mater. 2004;27(3):613–617.
   Web of Science ®Google Scholar
• Ren H, Fan Y-H, Wu S-T. Tunable fresnel lens using nanoscale polymer-dispersed liquid crystals. Appl Phys Lett. 2003;83(8):1515–1517.
   Web of Science ®Google Scholar
• Yang D-K, Wu S-T. Fundamentals of liquid crystal devices. West Sussex: Wiley; 2014.
   Google Scholar
• Ding J, Yang Y. Birefringence patterns of nematic droplets. Jpn J Appl Phys. 1992;31:2837.
   Web of Science ®Google Scholar
• Xu F, Crooker P. Chiral nematic droplets with parallel surface anchoring. Phys Rev E. 1997;56(6):6853.
   Web of Science ®Google Scholar
• Williams R. Two transitions in tangentially anchored nematic droplets. J Phys Math Gen. 1986;19(16):3211–3222.
   Google Scholar
• Drzaic PS. A case of mistaken identity: spontaneous formation of twisted bipolar droplets from achiral nematic materials. Liq Cryst. 1999;26(5):623–627.
   Web of Science ®Google Scholar
• Drzaic PS. Reorientation dynamics of polymer dispersed nematic liquid crystal films. Liq Cryst. 1988;3(11):1543–1559.
   Web of Science ®Google Scholar
• Chiccoli C, Pasini P, Semeria F, et al. Computer simulations of nematic droplets with toroidal boundary conditions. Mol Cryst Liq Cryst. 1992;221(1):19–28.
   Web of Science ®Google Scholar
• Jeong J, Davidson ZS, Collings PJ, et al. Chiral symmetry breaking and surface faceting in chromonic liquid crystal droplets with giant elastic anisotropy. Proc Natl Acad Sci. 2014;111(5):1742–1747.
   PubMed Web of Science ®Google Scholar
• Jiang J-H, Yang D-K. Bipolar to toroidal configuration transition in liquid crystal droplets. Liq Cryst. 2017;45(1):102–111.
   Web of Science ®Google Scholar
• Williams C, Pieransk P, Cladis PE. Nonsingular S = + 1 screw disclination lines in nematics. Phys Rev Lett. 1972;29(2):90–92.
   Web of Science ®Google Scholar
• Christian O, Christophe S, Rudolf Z. A continuous flow synthesis of micrometer-sized actuators from liquid crystalline elastomers. Adv Mater. 2009;21(47):4859–4862.
   PubMed Web of Science ®Google Scholar
• Fernández-Nieves A, Link D, Marquez M, et al. Topological changes in bipolar nematic droplets under flow. Phys Rev Lett. 2007;98(8):087801.
   PubMed Web of Science ®Google Scholar
• Kralj S, Rosso R, Virga EG. Finite-size effects on order reconstruction around nematic defects. Phys Rev E. 2010;81(2):021702.
   Web of Science ®Google Scholar
• Jiang X-Y, Zhou X, Zhang Z-D. Landau–de Gennes theory for a −1 boojum in a degenerate hybrid-aligned nematic cell. Liq Cryst. 2017;44(3):490–499.
   Web of Science ®Google Scholar
• Schopohl N, Sluckin TJ. Defect core structure in nematic liquid crystals. Phys Rev Lett. 1987;59(22):2582–2584.
   PubMed Web of Science ®Google Scholar
• Zhou X, Zhang Z-D. Dynamics of order reconstruction in nanoconfined twisted nematic cells with a topological defect. Liq Cryst. 2014;41(9):1219–1228.
   Web of Science ®Google Scholar
• Yu Y, Li Z-G, Zhou X, et al. Curvature-induced structural transition of nematic liquid crystals in coaxial cylinder π cell: from bulk to surface order reconstruction. Phys A. 2019;02:652–670.
   Web of Science ®Google Scholar
• Lee SH, Park SH, Lee MH, et al. Homeotropically aligned nematic liquid crystals device locked by a polymer wall with wide viewing angle. Appl Phys Lett. 2005;86(3):031108.
   Web of Science ®Google Scholar
• de Gennes PG, Prost J. The physics of liquid crystals. Oxford(UK): Oxford University Press; 1993.
   Google Scholar
• Fu F, Abukhdeir NM. Formation and field-driven dynamics of nematic spheroids. Soft Matter. 2017;13(28):4890–4902.
   PubMed Web of Science ®Google Scholar
• Kaiser P, Wiese W, Hess S. Stability and instability of an uniaxial alignment against biaxial distortions in the isotropic and nematic phases of liquid crystals. J Non-Equilib Thermodyn. 1992;17(2):153–169.
   Web of Science ®Google Scholar
• Soulé ER, Abukhdeir NM, Rey AD. Theory and computation of directional nematic phase ordering. Phys Rev E. 2009;79(2):1–28.
   Web of Science ®Google Scholar
• Amoddeo A, Barberi R, Lombardo G. Electric field-induced fast nematic order dynamics. Liq Cryst. 2010;38(1):93–103.
   Web of Science ®Google Scholar
• Fournier JB, Galatola P. Modeling planar degenerate wetting and anchoring in nematic liquid crystals. Europhys Lett. 2005;72(3):403–409.
   Google Scholar
• Guzmán O, Abbott NL, De Pablo JJ. Quenched disorder in a liquid-crystal biosensor: adsorbed nanoparticles at confining walls. J Chem Phys. 2005;122(18): 184711-1–184711-10.
   Web of Science ®Google Scholar
• Zhou X, Zhang Z-D. Dynamics of order reconstruction in a nanoconfined nematic liquid crystal with a topological defect. Int J Mol Sci. 2013;14(12):24135–24153.
   PubMed Web of Science ®Google Scholar
• Brown AI, Kreplak L, Rutenberg AD. An equilibrium double-twist model for the radial structure of collagen fibrils. Soft Matter. 2014;10(42):8500–8511.
   PubMed Web of Science ®Google Scholar
• Corella-Madueño A, Reyes JA. Electrically controlled liquid crystal fiber. Opt Commun. 2005;264(1):148–155.
   Web of Science ®Google Scholar
• Chen S-B, Zhou X, Ye W-J, et al. Periodic nanostructure-induced change of director profiles and variable stop bands of photonic crystals infiltrated by nematic liquid crystals. Appl Opt. 2019;58(36):9734–10009.
   PubMed Web of Science ®Google Scholar
• Hou L, Chen S-B, Zhou X, et al. Saddle–splay elasticity induced chiral structures in achiral liquid crystals within cylindrical geometry. Liq Cryst. 2019;47:1–8.
   Web of Science ®Google Scholar
• Eugene C, Gartland JR. Scalings and limits of Landau-de Gennes models for liquid crystals: a comment on some recent analytical papers. Math Model Anal. 2018;23(3):414–432.
   Web of Science ®Google Scholar
• Yan J, Rey AD. Texture formation in carbonaceous mesophase fibers. Phys Rev E. 2002;65(3):031713.
   Web of Science ®Google Scholar
• Zhang R, Zhou Y, Martínez-González JA, et al. Controlled deformation of vesicles by flexible structured media. Sci Adv. 2016;2(8):e1600978.
   PubMed Web of Science ®Google Scholar