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Expressions are obtained for force and couple densities and stress tensors in macroscopic models for nematic liquid crystals subjected to electric fields. The coupling between the liquid crystal orientational properties and the electric…

软凝聚态物质 · 物理学 2020-09-29 Eugene C. Gartland

A nematic liquid crystal (NLC) layer with the anisotropy axis modulated at a fixed rate q in the transverse direction is considered. If the layer locally constitutes a half-wave plate, then the thin-screen approximation predicts 100%…

软凝聚态物质 · 物理学 2007-05-23 H. Sarkissian , N. Tabirian , B. Park , B. Zeldovich

In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat…

偏微分方程分析 · 数学 2022-03-09 Sören Bartels , Max Griehl , Stefan Neukamm , David Padilla-Garza , Christian Palus

We describe electrophoresis of spherical dielectric particles in a uniformly aligned nematic medium with a negative dielectric anisotropy. A spherical particle that orients the liquid crystal (LC) perpendicularly to its surface moves under…

软凝聚态物质 · 物理学 2013-04-10 Israel Lazo , Oleg D. Lavrentovich

Electro-hydrodynamic phenomena in liquid crystals constitute an old but still very active research area. The reason is that these phenomena play the key role in various applications of liquid crystals and due to the general interest of…

软凝聚态物质 · 物理学 2024-03-14 E. S. Pikina , A. R. Muratov , E. I. Kats , V. V. Lebedev

In this paper, we propose a systematic way of liquid crystal modeling to build connection between microscopic theory and macroscopic theory. A new Q-tensor theory based on Onsager's molecular theory which leads to liquid crystals with…

偏微分方程分析 · 数学 2015-06-16 Jiequn Han , Yi Luo , Wei Wang , Pingwen Zhang

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…

软凝聚态物质 · 物理学 2009-11-11 Lionel Foret , Akira Onuki

Liquid crystal elastomers are special cross-linked polymer materials combining the large elastic deformability of elastomers with the orientational orders of liquid crystals. This model exhibits markedly different phenomena than the liquid…

偏微分方程分析 · 数学 2023-07-18 Xiaonan Hao , Jiaxi Huang , Ning Jiang

This paper investigates nematic liquid crystals in three-dimensional curved space, and determines which director deformation modes are compatible with each possible type of non-Euclidean geometry. Previous work by Sethna et al. showed that…

软凝聚态物质 · 物理学 2020-10-27 Jean-François Sadoc , Rémy Mosseri , Jonathan V. Selinger

Using classical density functional theory (DFT) the effect of bringing a liquid crystal (LC) into contact with a porous substrate or matrix is investigated. The DFT used is a combination of the Onsager approximation to evaluate the excess…

软凝聚态物质 · 物理学 2007-05-23 David L. Cheung

Liquid crystals are materials that experience an intermediate phase where the material can flow like a liquid, but the molecules maintain an orientation order. The Frank-Oseen model is a continuum model of a liquid crystal. The model…

数值分析 · 数学 2024-05-07 Lucas Bouck , Ricardo H. Nochetto

Nematic liquid crystals possess three different phases: isotropic, uniaxial, and biaxial. The ground state of most nematics is either isotropic or uniaxial, depending on the external temperature. Nevertheless, biaxial domains have been…

软凝聚态物质 · 物理学 2009-11-11 Paolo Biscari , Gaetano Napoli , Stefano Turzi

Chromonic liquid crystals are lyotropic materials which are attracting growing interest for their adapatbility to living systems. To describe their elastic properties, the classical Oseen-Frank theory requires anomalously small twist…

软凝聚态物质 · 物理学 2022-12-26 Silvia Paparini , Epifanio G. Virga

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…

软凝聚态物质 · 物理学 2020-08-05 Cody D. Schimming , Jorge Viñals

Linear defects such as dislocations and disclinations in ordered materials attract foreign particles since they replace strong elastic distortions at the defect cores. In this work, we explore the behavior of isotropic droplets nucleating…

We use molecular dynamics to study the ordering of a nematic liquid crystal around a spherical particle or droplet. Homeotropic boundary conditions and strong anchoring create a hedgehog director configuration on the particle surface and in…

软凝聚态物质 · 物理学 2013-03-19 D. Andrienko , G. Germano , M. P. Allen

We model within the framework of finite elasticity two inherent instabilities observed in liquid crystal elastomers under uniaxial tension. First is necking which occurs when a material sample suddenly elongates more in a small region where…

软凝聚态物质 · 物理学 2024-10-15 Rabin Poudel , Yasemin Sengul , L. Angela Mihai

Stable array of point defects was generated in nematic liquid crystal. Point defects with topological charge of +1 and -1 (hedgehogs) were generated in vertically aligned liquid crystal cell. The hedgehogs were arranged in square or…

软凝聚态物质 · 物理学 2019-06-18 Jieh-Wen Tsung

We analyse a recent generalised free-energy for liquid crystals posited by Virga and falling in the class of quartic functionals in the spatial gradients of the nematic director. We review some known interesting solutions, i. e., uniform…

软凝聚态物质 · 物理学 2020-10-30 G. De Matteis , L. Martina , C. Naya , V. Turco

Chromonic liquid crystals constitute a novel lyotropic phase, whose elastic properties have so far been modeled within the classical Oseen-Frank theory, provided that the twist constant is assumed to be considerably smaller than the…

软凝聚态物质 · 物理学 2022-07-08 Silvia Paparini , Epifanio G. Virga