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We present a rigorous treatment of the diffusion approximation for multiple light scattering in anisotropic random media, and apply it to director fluctuations in a nematic liquid crystal. For a typical nematic material, 5CB, we give…

Condensed Matter · Physics 2009-10-28 Holger Stark , Tom C. Lubensky

Light propagation through artificially patterned anisotropic materials, such as dielectric metasurfaces, enables precise control of the spatio-vectorial properties of optical fields using highly transparent, thin, and flat optical elements.…

We study stability and distortions of liquid crystal nematic order in a cell with a random heterogeneous substrate. Modeling this system as a bulk xy model with quenched disorder confined to a surface, we find that nematic order is…

Soft Condensed Matter · Physics 2010-05-05 Quan Zhang , Leo Radzihovsky

The reorientational nonlinearity of nematic liquid crystals enables a self-localized spatial soliton and its waveguide to be deflected or destroyed by a control beam propagating across the cell. We demonstrate a simple all-optical…

We consider the pretilt alignment of nematic liquid crystal (LC) on inhomogeneous surface patterns comprising patches of homeotropic or homogeneous alignment domains, with azimuthal anisotropy assumed in the surface plane. We found that the…

Soft Condensed Matter · Physics 2009-11-11 Jones T. K. Wan , Ophelia K. C. Tsui , Hoi-Sing Kwok , Ping Sheng

We explore the diffusion dynamics of a Brownian microparticle in a lyotropic chromonic liquid crystal (LCLC). In the planarly oriented nematic phase, the microparticle exhibits levitation and anisotropic two-dimensional diffusion. Upon…

Soft Condensed Matter · Physics 2025-07-15 Patrycja Kadzialka , Lech Sznitko , Pawel Karpinski

Despite the steady advancements in nanofabrication made over the past decade that had prompted a plethora of intriguing applications across various fields, achieving compatibility between miniaturized photonic devices and electronic…

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…

Materials that exhibit high nonlinear optical (NLO) susceptibilities are considered as promising candidates for a wide range of photonic and electronic applications. Here we argue that the ferroelectric nematic (NF) materials have…

Soft Condensed Matter · Physics 2022-03-22 C. L. Folcia , J. Ortega , R. Vidal , T. Sierra , J. Etxebarria

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…

Soft Condensed Matter · Physics 2024-03-14 E. S. Pikina , A. R. Muratov , E. I. Kats , V. V. Lebedev

We study spreading dynamics of nematic liquid crystal droplets within the framework of the long-wave approximation. A fourth order nonlinear parabolic partial differential equation governing the free surface evolution is derived. The…

Fluid Dynamics · Physics 2013-07-19 Te-Sheng Lin , Lou Kondic , Uwe Thiele , Linda J. Cummings

The isotropic-to-nematic transition in liquid crystals is studied in d=3 spatial dimensions. A simulation method is proposed to measure the angle dependent interfacial tension g(theta), with theta the anchoring angle of the nematic phase at…

Soft Condensed Matter · Physics 2007-06-19 R. L. C. Vink

Recently we have formulated theory of bi-layer-dimerized chiral liquid antiferroelectric crystals. The spontaneous polarization has been increased owing to the strong interaction of the aromatic cores of the rod like liquid crystal…

Soft Condensed Matter · Physics 2018-02-12 Ondrej Hudak , Matej Hudak , Jana Tothova

A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into account the geometrical shape of its molecules. This system…

Numerical Analysis · Mathematics 2016-07-11 R. C. Cabrales , F. Guillén-González , J. V. Gutiérrez-Santacreu

Tunable metasurfaces have demonstrated the potential for dramatically enhanced functionality for applications including sensing, ranging and imaging. Liquid crystals (LCs) have fast switching speeds, low cost, and mature technological…

Optics · Physics 2019-10-09 Haejun Chung , Owen D. Miller

We apply the method developed in Ref. [S.B.Chernyshuk and B.I.Lev, Phys.Rev.E, \textbf{81}, 041701 (2010)] for theoretical investigation of colloidal elastic interactions between axially symmetric particles in the confined nematic liquid…

Soft Condensed Matter · Physics 2015-05-27 S. B. Chernyshuk , B. I. Lev

The phenomenological Landau-de Gennes (LdG) model is a powerful continuum theory to describe the macroscopic state of nematic liquid crystals. However, it is invariably less accurate and less physically informed than the molecular-level…

Soft Condensed Matter · Physics 2024-11-20 Baoming Shi , Apala Majumdar , Lei Zhang

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…

Analysis of PDEs · Mathematics 2022-03-09 Sören Bartels , Max Griehl , Stefan Neukamm , David Padilla-Garza , Christian Palus

We have studied the nucleation and the physical properties of a -1/2 wedge disclination line near the free surface of a confined nematic liquid crystal. The position of the disclination line has been related to the material parameters…

Soft Condensed Matter · Physics 2009-10-31 Jordi Ignes-Mullol , Jean Baudry , Lubor Lejcek , Patrick Oswald

We show how to simulate the equatorial section of the Schwarzschild metric through a flowing liquid crystal in its nematic phase. Inside a liquid crystal in the nematic phase, a traveling light ray feels an effective metric, whose…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Erms R. Pereira , Fernando Moraes
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