By H.-R. Trebin (auth.), Oleg D. Lavrentovich, Paolo Pasini, Claudio Zannoni, Slobodan Žumer (eds.)
Topological defects are the topic of extensive reports in lots of varied branches of physics starting from cosmology to liquid crystals and from hassle-free debris to colloids and organic structures. Liquid crystals are attention-grabbing fabrics which current an outstanding number of those mathematical gadgets and will consequently be regarded as an exceptionally precious laboratory for topological defects.
This ebook is the 1st try and current jointly complementary ways to the investigations of topological defects in liquid crystals utilizing idea, experiments and machine simulations.
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Additional resources for Defects in Liquid Crystals: Computer Simulations, Theory and Experiments
The symmetry-breaking planar-polar configuration occurs for larger capillaries. It features two s = 1/2 disclinations which undergo the same biaxial escape as the planar radial solution. nar and rotationally symmetric solution as "planar-radial" (PR), and the symmetry-breaking solution as "planar-polar" (PP). The ER solution is uniaxial everywhere, and therefore the tensorial algorithm yields nothing new. Thus, we will focus on the other solutions, which contain biaxial regions. In figure 5 the PR solution is shown.
Rev. , 67, 1442. Penzenstadler, E. , (1989) J. Phys. France, 50, 1025. Schopohl N. and Sluckin, T. J. (1988) J. Phys. France 49, 1097. LIQUID CRYSTAL COLLOIDAL DISPERSIONS H. STARK Fachbereich Physik, Universitiit Konstanz, D-78457 Konstanz, Germany AND A. BORSTNIK, S. ZUMER Department of Physics, University of Ljubljana, 1000 Ljubljana, Slovenia Abstract. We present a theoretical study of liquid crystal colloidal dispersions. Micron sized particles that can be either charged or neutral are dispersed in a liquid crystal at temperatures below as well as above the nematic-isotropic phase transition.
Furthermore, in the nematic phase topological point and line defects in the director field occur which strongly determine the physics of liquid crystal colloidal dispersions. Both, the nematic wetting layer above TN I and the core of a defect in the director field require the alignment tensor Q as generalized order parameter to describe the liquid crystalline ordering. , surfactant-coated water droplets are dispersed in large nematic drops which are surrounded by the water phase [20, 21]. Surprisingly, as observed by polarizing microscopy, the water droplets form chains.