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Journal ArticleDOI

Topological defects in dispersed words and worlds around liquid crystals, or liquid crystal drops

Oleg D. Lavrentovich
- 01 Jan 1998 - 
- Vol. 24, Iss: 1, pp 117-126
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TLDR
In this paper, the structure of dispersed liquid crystal droplets elasticity, surface tension, and surface anchoring is analyzed. And the equilibrium states of large droplets contain topologically stable defects, e.g., monopoles, boojums, etc.
Abstract
The structure of dispersed liquid crystal droplets elasticity, surface tension, and surface anchoring. For sufficiently large droplets with radius R K / W a, where K is the bulk elastic constant and W a is the anchoring coefficient, the surface terms prevail. As a result, the equilibrium states of large droplets contain topologically stable defects. Application of topological theorems to and hedgehogs is reviewed. is controlled by a balance of the bulk defect structures, e.g. monopoles, boojums

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Citations
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Two-Dimensional Nematic Colloidal Crystals Self-Assembled by Topological Defects

TL;DR: It is shown that colloidal particles confined to a few-micrometer-thick layer of a nematic liquid crystal form two-dimensional crystal structures that are bound by topological defects.
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Physics of colloidal dispersions in nematic liquid crystals

TL;DR: In this article, the physics of colloidal dispersions in nematic liquid crystals is reviewed and three possible structures are identified and discussed in detail; the dipole, the Saturn-ring and the surface-ring configuration.
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Endotoxin-Induced Structural Transformations in Liquid Crystalline Droplets

TL;DR: The sensitivity of the LC to endotoxin was measured to change by six orders of magnitude with the geometry of theLC (droplet versus slab), supporting the hypothesis that interactions of endotoxin with topological defects in the LC mediate the response of the droplets.
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Chemical and biological sensing using liquid crystals

TL;DR: This review focuses on principles for LC-based sensors that provide an optical output that selectively bind targeted species, thus leading to surface-driven changes in the organization of the LCs.
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Liquid Crystal Emulsions as the Basis of Biological Sensors for the Optical Detection of Bacteria and Viruses

TL;DR: This approach represents a novel means to sense and differentiate between types of bacteria and viruses based on their cell‐wall/envelope structure, paving the way for the development of a new class of LC microdroplet‐based biological sensors.
References
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Quantised Singularities in the Electromagnetic Field

TL;DR: The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced as discussed by the authors, and it seems likely that this process of increasing abstraction will continue in the future and that advance in physics is to be associated with a continual modification and generalisation of the axioms at the base of the mathematics rather than with a logical development of any one mathematical scheme on a fixed foundation.
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Modern geometry--methods and applications

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Journal ArticleDOI

Field controlled light scattering from nematic microdroplets

TL;DR: In this article, the light scattering and electro-optic response of new material with display potential are investigated, which consist of microdroplets of nematic liquid crystals which are spontaneously formed in a solid polymer at the time of its polymerization.
Journal ArticleDOI

Novel Colloidal Interactions in Anisotropic Fluids

TL;DR: Small water droplets dispersed in a nematic liquid crystal exhibit a novel class of colloidal interactions, arising from the orientational elastic energy of the anisotropic host fluid, which can lead to novel mechanisms for colloid stabilization.
Journal ArticleDOI

Quantized vortices in superfluid He-3

TL;DR: In this paper, the concept of broken symmetry is applied to investigate the quantized vortex lines in rotating superfluid vortices, and it is shown that vortex-core structures exhibit an experimentally observed first-order phase transition.