Landau–de Gennes modelling of nematic liquid crystal colloids

作者: Miha Ravnik , Slobodan Žumer

DOI: 10.1080/02678290903056095

关键词: Liquid crystalUniversality (dynamical systems)AnchoringMaterials scienceCondensed matter physicsFinite differenceColloid

摘要: Phenomenological Landau–de Gennes modelling based on the free energy of nematic liquid crystal colloids is reviewed. Nematic phase, gradient order, and surface anchoring contributions to total are used. The numerical finite difference relaxation technique explained as an efficient tool for minimisation energy. Effects mesh allocation discussed. Various conceptually different colloidal structures calculated show universality model. Single particles, dipolar–quadrupolar dimers, entangled dimers bound by escaped hyperbolic rings, hierarchically patterned Saturn-ring superstructures presented.

参考文章(69)
Jean-Christophe Loudet, Philippe Barois, Philippe Poulin, Colloidal ordering from phase separation in a liquid- crystalline continuous phase Nature. ,vol. 407, pp. 611- 613 ,(2000) , 10.1038/35036539
Yurii A. Vlasov, Xiang-Zheng Bo, James C. Sturm, David J. Norris, On-chip natural assembly of silicon photonic bandgap crystals Nature. ,vol. 414, pp. 289- 293 ,(2001) , 10.1038/35104529
David Allender, Lech Longa, Landau-De Gennes Theory of Biaxial Nematics Reexamined Physical Review E. ,vol. 78, pp. 011704- ,(2008) , 10.1103/PHYSREVE.78.011704
Igor Musevic, Miha Skarabot, Uros Tkalec, Miha Ravnik, Slobodan Zumer, Two-Dimensional Nematic Colloidal Crystals Self-Assembled by Topological Defects Science. ,vol. 313, pp. 954- 958 ,(2006) , 10.1126/SCIENCE.1129660
V. G. Nazarenko, A. B. Nych, B. I. Lev, Crystal structure in nematic emulsion. Physical Review Letters. ,vol. 87, pp. 075504- ,(2001) , 10.1103/PHYSREVLETT.87.075504
I Muševič, M Škarabot, D Babič, N Osterman, I Poberaj, V Nazarenko, A Nych, None, Laser Trapping of Small Colloidal Particles in a Nematic Liquid Crystal: Clouds and Ghosts Physical Review Letters. ,vol. 93, pp. 187801- 188100 ,(2004) , 10.1103/PHYSREVLETT.93.187801
M. Kléman, C. Williams, Anchoring energies and the nucleation of surface disclination lines in nematics Philosophical Magazine. ,vol. 28, pp. 725- 732 ,(1973) , 10.1080/14786437308221014
Alberto de Lózar, Wolfgang Schöpf, Ingo Rehberg, Daniel Svenšek, Lorenz Kramer, Transformation from walls to disclination lines: statics and dynamics of the pincement transition. Physical Review E. ,vol. 72, pp. 051713- ,(2005) , 10.1103/PHYSREVE.72.051713