Nematic ordering and defects on the surface of a sphere: A Monte Carlo simulation study
- 14 March 2008
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 128 (10), 104707
- https://doi.org/10.1063/1.2890724
Abstract
We examine the ordering of hard rods on the surface of a sphere using computer simulations. As predicted by previous theories of thin nematic shells we observe four s = + 1/2 defects. However, the predicted tetrahedral symmetry for the defects and the "baseball" director configuration is not observed. Instead the four defects are located, on average, on a great circle which splits the sphere into two hemispheres, each of which has a splay dominated director configuration. We argue that this result occurs as the bend elastic constant for hard rods is much larger than the splay elastic constant.Keywords
This publication has 12 references indexed in Scilit:
- Novel Defect Structures in Nematic Liquid Crystal ShellsPhysical Review Letters, 2007
- Nematic textures in spherical shellsPhysical Review E, 2006
- Surface-Enhanced Plasmon Splitting in a Liquid-Crystal-Coated Gold NanoparticlePhysical Review Letters, 2005
- Tetravalent colloids by nematic wettingEurophysics Letters, 2005
- Toward a Tetravalent Chemistry of ColloidsNano Letters, 2002
- Phase behavior of two-dimensional hard rod fluidsThe Journal of Chemical Physics, 2000
- Orientational order and vesicle shapeJournal de Physique II, 1992
- Evidence for algebraic orientational order in a two-dimensional hard-core nematicPhysical Review A, 1985
- Frank Elastic Constants of the Hard-Rod Liquid CrystalPhysical Review A, 1973
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973