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Various director configurations of a nematic liquid crystal, confined in a toroidal volume and subject to an external magnetic field, were evaluated numerically by performing finite element calculations in three dimensions. The equilibrium…

Soft Condensed Matter · Physics 2007-05-23 Joachim Stelzer , Ralf Bernhard

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

Soft Condensed Matter · Physics 2020-08-05 Cody D. Schimming , Jorge Viñals

We create controllable active particles in the form of metal-dielectric Janus colloids which acquire motility through a nematic liquid crystal film by transducing the energy of an imposed perpendicular AC electric field. We achieve complete…

Soft Condensed Matter · Physics 2020-07-15 Dinesh Kumar Sahu , Swapnil Kole , Sriram Ramaswamy , Surajit Dhara

Optical polarimetry measurements of the orientational order of a discotic liquid crystal based on a pyrene derivative and confined in parallel-aligned nanochannels of monolithic mesoporous alumina, silica, and silicon as a function of…

We propose a simple surface potential favoring the planar degenerate anchoring of nematic liquid crystals, i.e., the tendency of the molecules to align parallel to one another along any direction parallel to the surface. We show that, at…

Soft Condensed Matter · Physics 2007-05-23 Jean-Baptiste Fournier , Paolo Galatola

The newly-discovered ferroelectric nematic liquid crystal exhibits a variety of unique defect phenomena. The depolarization field in the material favors spontaneous spatial variations in polarization, manifesting in diverse forms such as…

Soft Condensed Matter · Physics 2025-07-17 Maxim O. Lavrentovich , Priyanka Kumari , Oleg D. Lavrentovich

Control of physical behaviors of nematic colloids and colloidal crystals has been demonstrated by tuning particle shape, topology, chirality and surface charging. However, the capability of altering physical behaviors of such soft matter…

Soft Condensed Matter · Physics 2021-01-12 Ye Yuan , Patrick Keller , Ivan I. Smalyukh

We study a two-dimensional variational problem which arises as a thin-film limit of the Landau-de Gennes energy of nematic liquid crystals. We impose an oblique angle condition for the nematic director on the boundary, via boundary…

Analysis of PDEs · Mathematics 2020-01-15 Stan Alama , Lia Bronsard , Dmitry Golovaty

We present a general theory of liquid crystals under inhomogeneous electric field in a Ginzburg-Landau scheme. The molecular orientation can be deformed by electric field when the dielectric tensor is orientation-dependent. We then…

Soft Condensed Matter · Physics 2009-11-11 Lionel Foret , Akira Onuki

We have studied spectral properties of a cholesteric liquid crystal with a combined defect consisting of a nanocomposite layer and a twist. The nanocomposite layer is made of metallic nanoballs dispersed in a transparent matrix and…

Optics · Physics 2014-09-29 Stepan Ya. Vetrov , Maxim V. Pyatnov , Ivan V. Timofeev

Topological defects play a central role in the formation and organization of various biological systems. Historically, such nonequilibrium defects have been mainly studied in the context of homogeneous active nematics. Phase-separated…

Soft Condensed Matter · Physics 2023-07-13 Timo Krüger , Ivan Maryshev , Erwin Frey

We show that the number of distinct topological states associated to a given knotted defect, $L$, in a nematic liquid crystal is equal to the determinant of the link $L$. We give an interpretation of these states, demonstrate how they may…

Soft Condensed Matter · Physics 2014-07-11 Thomas Machon , Gareth P. Alexander

The transition from a nematic to an isotropic state in a self-closing spherical liquid crystal shell with tangential alignment is a stimulating phenomenon to investigate, as the topology dictates that the shell exhibits local isotropic…

Soft Condensed Matter · Physics 2024-02-02 Yucen Han , Jan Lagerwall , Apala Majumdar

The present study investigates the arrangement of hollow pyramidal cone shells and their interactions with degenerate planar anchoring on the inner and outer surfaces of particles within the nematic host. The shell thickness is in order of…

When colloidal particles are vertically confined to a gap of between 1.3-1.6 particle diameters, they pack into buckled crystals of particles in either "up" or "down" states. Neighboring particles tend to occupy opposite states, analogous…

A systematic analysis of defect textures in facetted nanoparticles with polygonal configurations embedded in a nematic matrix is performed using the Landau-de Gennes model, homeotropic strong anchoring in a square domain with uniform…

Materials Science · Physics 2013-11-22 Paul M. Phillips , N. Mei , Ezequiel R. Soule , Linda Reven , Alejandro D. Rey

We report on the formation of topological defects emerging from the cycloidal antiferromagnetic order at the surface of bulk BiFeO$_3$ crystals. Combining reciprocal and real-space magnetic imaging techniques, we first observe, in a single…

Liquid-crystalline ordering in vertically vibrated granular monolayers confined in annuli of different sizes is examined. The annuli consist of circular cavities with a central circular obstruction. In the absence of the central obstruction…

Soft Condensed Matter · Physics 2020-09-18 Ariel Díaz-De Armas , Martín Maza-Cuello , Yuri Martínez-Ratón , Enrique Velasco

Achieving control over the directionality of active colloids is essential for their use in practical applications such as cargo carriers in microfluidic devices. So far, guidance of spherical Janus colloids was mainly realized using…

We give a topological classification of defect lines in cholesteric liquid crystals using methods from contact topology. By focusing on the role played by the chirality of the material, we demonstrate a fundamental distinction between…

Soft Condensed Matter · Physics 2023-06-14 Joseph Pollard , Gareth P. Alexander
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