187
Views
7
CrossRef citations to date
0
Altmetric
Article

Influence of saddle-splay deformation on lyotropic chromonic liquid crystals confined between two coaxial cylinders

, , &
Pages 500-507 | Received 01 Jul 2019, Accepted 19 Aug 2019, Published online: 28 Aug 2019

References

  • Gupta J, Sivakumar S, Caruso F, et al. Size-dependent ordering of liquid crystals observed in polymeric capsules with micrometer and smaller diameters. Angew Chem Int Edit. 2009;48(9):1652–1655.
  • Kos Z, Ravnik M. Relevance of saddle-splay elasticity in complex nematic geometries. Soft Matter. 2016;12(4):1313–1323.
  • Serra F. Curvature and defects in nematic liquid crystals. Liq Cryst. 2016;43(13–15):1920–1936.
  • Javadi A, Eun J, Jeong J. Cylindrical nematic liquid crystal shell: effect of saddle-splay elasticity. Soft Matter. 2018;14(44):9005–9011.
  • Corella-Madueno A, Castellanos-Moreno A, Gutierrez-Lopez S, et al. Threshold field for a nematic liquid crystal confined between two coaxial cylinders. Phys Rev E. 2008;78(2):022701.
  • Martinez A, Ravnik M, Lucero B, et al. Mutually tangled colloidal knots and induced defect loops in nematic fields. Nat Mater. 2014;13(3):259–264.
  • Sengupta A, Herminghaus S, Bahr C. Liquid crystal microfluidics: surface, elastic and viscous interactions at microscales. Liq Cryst Rev. 2014;2(2):73–110.
  • Zhang J, Boamfa MI, Rowan AE, et al. Compartmentalized multistable liquid crystal alignment. Adv Mater. 2010;22(9):961–965.
  • Gomes OA, Yednak CAR, Da Silva BVHV, et al. Nematic liquid crystal in a cylindrical sample: theoretical analysis of the electrical response. Phys Rev E. 2018;97(2):022703.
  • Kitavtsev G, Robbins JM, Slastikov V, et al. Liquid crystal defects in the Landau–de Gennes theory in two dimensions—Beyond the one-constant approximation. Math Mod Meth Appl S. 2016;26(14):2769–2808.
  • Williams DRM, Halperin A. Microphases of nematic diblock copolymers: reentry and finite size effects. Phys Rev Lett. 1993;71(10):1557–1560.
  • Chiccoli C, Pasini P, Evangelista LR, et al. Molecular organization of nematic liquid crystals between concentric cylinders: role of the elastic anisotropy. Phys Rev E. 2015;91(2):022501.
  • 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.
  • Schmidt HV. Normal-distortion-mode approach to liquid crystal elastic energy. Phys Rev Lett. 1990;64(5):535–538.
  • Manyuhina VO. Saddle-splay elasticity and field induced soliton in nematics. J Phys Condens Mat. 2012;24(19):195102.
  • Koning V, Van Zuiden BC, Kamien RD, et al. Saddle-splay screening and chiral symmetry breaking in toroidal nematics. Soft Matter. 2014;10(23):4192–4198.
  • Wang YS, Yuan BH, Yang GH. Effect of saddle-splay elasticity on stability of disclination rings in nematic liquid crystals. Commun Theor Phys. 2008;50(10):847–850.
  • Ambrozic M, Zumer S. Chiral nematic liquid crystals in cylindrical cavities. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996;54(54):5187–5197.
  • Holderer O, Sottmann T, Klostermann M, et al. Experimental determination of bending rigidity and saddle splay modulus in bicontinuous microemulsions. Soft Matter. 2013;9(7):2308–2313.
  • Lavrentovich M, Sergan T, Kelly J. Planar and twisted lyotropic chromonic liquid crystal cells as optical compensators for twisted nematic displays. Liq Cryst. 2003;30(7):851–859.
  • Jeong J, Kang L, Davidson ZS, et al. Chiral structures from achiral liquid crystals in cylindrical capillaries. Proc Natl Acad Sci. 2015;112(15):E1837–E1844.
  • Selinger JV. Interpretation of saddle-splay and the Oseen-Frank free energy in liquid crystals. Liq Cryst Rev. 2018;6(2):129–142.
  • Crawford GP, Allender DW, Doane JW. Surface elastic and molecular-anchoring properties of nematic liquid crystals confined to cylindrical cavities. Phys Rev A. 1992;45(12):8693.
  • Pairam E, Vallamkondu J, Koning V, et al. Stable nematic droplets with handles. Proc Natl Acad Sci USA. 2013;110(23):9295–9300.
  • Hough LE, Jung HT, Kruerke D, et al. Helical nanofilament phases. Science. 2009;325(5939):456–460.
  • Sidky H, Pablo JJ, Whitmer JK. In silico measurement of elastic moduli of nematic liquid crystals. Phys Rev Lett. 2018;120(10):107801.
  • Polak RD, Crawford GP, Kostival BC, et al. Optical determination of the saddle-splay elastic constant K24 in nematic liquid crystals. Phys Rev E. 1994;49(2):R978–R981.
  • Allender DW, Crawford GP, Doane JW. Determination of the liquid-crystal surface elastic constant K24. Phys Rev Lett. 1991;67(11):1442–1445.
  • Nayani K, Chang R, Fu J, et al. Spontaneous emergence of chirality in achiral lyotropic chromonic liquid crystals confined to cylinders. Nat Commun. 2015;6:8067.
  • Davidson ZS, Kang L, Jeong J, et al. Chiral structures and defects of lyotropic chromonic liquid crystals induced by saddle-splay elasticity. Phys Rev E. 2015;91(5):050501.
  • Barbero G, Gabbasova Z, Kosevich YA. On a generalization of the Rapini-Papoular expression of the surface free energy for nematic liquid crystals. J Phys B at Mol Opt Phys. 1991;1(12):1505–1513.
  • Zhou S, Nastishin YA, Omelchenko MM, et al. Elasticity of lyotropic chromonic liquid crystals probed by director reorientation in a magnetic field. Phys Rev Lett. 2012;109(3):037801.
  • Saupe A. Elastic and flow properties of biaxial nematics. J Chem Phys. 1981;75:5118–5124.
  • Souza RTD, Dias JC, Mendes RS, et al. Critical exponents for Freedericskz transition in nematics between concentric cylinders. Phys A. 2010;389(5):945–950.
  • Wang Q, Sailing HE. Simulation and comparison study of liquid crystal director distributions. Acta Phys Sin. 2001;50(5):931–932.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.