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There are two competing descriptions of nematic liquid crystal dynamics: the Ericksen-Leslie director theory and the Eringen micropolar approach. Up to this day, these two descriptions have remained distinct in spite of several attempts to…

Soft Condensed Matter · Physics 2013-11-05 François Gay-Balmaz , Tudor S. Ratiu , Cesare Tronci

We study two-dimensional equilibrium configurations of nematic liquid crystal (NLC) director in a cell confined between two parallel surfaces: a planar surface and a spatially modulated one. The relief of the modulated surface is described…

Soft Condensed Matter · Physics 2017-02-13 M. F. Ledney , O. S. Tarnavskyy , A. I. Lesiuk , V. Yu. Reshetnyak

The McMillan liquid crystalline models under the influence of homeotropic anchoring walls and of external fields are investigated. For thin systems, the existence of the critical thickness, below which the system does not undergo a discrete…

Soft Condensed Matter · Physics 2007-05-23 M. Torikai , M. Yamashita

The Ericksen-Leslie model for nematic liquid crystal flows in case of an isothermal and incompressible fluid with general Leslie stress and anisotropic elasticity, i.e. with general Ericksen stress tensor, is shown for the first time to be…

Analysis of PDEs · Mathematics 2025-11-25 Matthias Hieber , Jinkai Li , Mathias Wilke

We report filling-fraction dependent dielectric spectroscopy measurements on the relaxation dynamics of the rod-like nematogen 7CB condensed in 13 nm silica nanochannels. In the film-condensed regime, a slow interface relaxation dominates…

Soft Condensed Matter · Physics 2015-04-21 Sylwia Calus , Andriy V. Kityk , Manfred Eich , Patrick Huber

The translation and shape deformations of a passive viscous Newtonian droplet immersed in an active nematic liquid crystal under circular confinement are analyzed using a linear stability analysis. We focus on the case of a sharply aligned…

Soft Condensed Matter · Physics 2025-07-29 Tanumoy Dhar , Michael J. Shelley , David Saintillan

Nematic liquid crystal (LC) is a partially ordered matter that has been a popular model system for studying a variety of topological behaviors in condensed matter. In this work, utilizing a spontaneously twisting achiral LC, we introduce a…

Soft Condensed Matter · Physics 2022-11-02 Madina Almukambetova , Arman Javadi , Jonghee Eun , Juneil Jang , Cheol-Min Ghim , Joonwoo Jeong

Liquid flow propelled by capillary forces is one of the most important transport mechanisms in porous environments. It is governed by a fascinating interplay of interfacial, viscous drag as well as gravitational forces which liquids…

Soft Condensed Matter · Physics 2010-05-06 Simon Gruener , Patrick Huber

Building on the striking similarity between the structure of the spindle during mitosis in living cells and nematic textures in confined liquid crystals, we use a continuum model of two-dimensional nematic liquid crystal droplets, to…

Soft Condensed Matter · Physics 2017-02-24 Marco Leoni , Oksana V. Manyuhina , Mark J. Bowick , M. Cristina Marchetti

Emerging technologies based on liquid crystal (LC) materials increasingly leverage the presence of nanoscale defects, unlike the canonical application of LCs -- LC displays. The inherent nanoscale characteristics of LC defects present both…

Soft Condensed Matter · Physics 2017-02-20 Fred Fu , Nasser Mohieddin Abukhdeir

Mono-layers of stearic and behenic acids and mixtures of them in different proportions, deposited with the Langmuir-Blodgett technique, were used to study the alignment and the alignment dynamics in nematic liquid crystal cells. A…

Soft Condensed Matter · Physics 2009-10-30 V. S. U. Fazio , L. Komitov , S. T. Lagerwall

The dynamics of a quasi two-dimensional isotropic droplet in a cholesteric liquid crystal medium under symmetric shear flow is studied by lattice Boltzmann simulations. We consider a geometry in which the flow direction is along the axis of…

Soft Condensed Matter · Physics 2018-07-13 Federico Fadda , Giuseppe Gonnella , Antonio Lamura , Enzo Orlandini , Adriano Tiribocchi

Cholesteric Liquid Crystals (CLCs), subject to externally applied magnetic fields and confined between two parallel planar surfaces with strong homeotropic anchoring conditions, are found to undergo transitions to different types of…

Soft Condensed Matter · Physics 2019-11-28 G. De Matteis , L. Martina , C. Naya , V. Turco

We demonstrate a variety of ordered patterns, including hexagonal structures and chains, formed by colloidal particles (droplets) at the free surface of a nematic liquid crystal (LC). The surface placement introduces a new type of particle…

Soft Condensed Matter · Physics 2009-11-10 I. I. Smalyukh , S. Chernyshuk , B. I. Lev , A. B. Nych , U. Ognysta , V. G. Nazarenko , O. D. Lavrentovich

The optical properties of liquid crystals serve as the basis for display, diagnostic, and sensing technologies. Such properties are generally controlled by relying on electric fields. In this work, we investigate the effects of microfluidic…

Chiral nematic or cholesteric liquid crystals (LCs) are mesophases with long-ranged orientational order featuring a quasi-layered periodicity imparted by a helical configuration but lacking positional order. Doping molecular cholesteric LCs…

A nonlinear viscoelastic theory of nematodynamic type is developed for nematic liquid crystalline (LC) semi-flexible polymers. A measure of transient elastic strain due to the change in length of macromolecular strands under stress, and the…

Condensed Matter · Physics 2007-05-23 A. I. Leonov , V. S. Volkov

We explore the nematic ordering of the rod-like liquid crystals 5CB and 6CB, embedded into parallel-aligned nanochannels in mesoporous silicon and silica membranes as a function of mean channel radius (4.7<=R <=8.3 nm), and thus geometrical…

Soft Condensed Matter · Physics 2012-08-15 Sylwia Calus , Daniel Rau , Patrick Huber , Andriy V. Kityk

We explore micropatterned director structures of aqueous lyotropic chromonic liquid crystal (LCLC) films created on square lattice cylindrical-micropost substrates. The structures are manipulated by modulating the LCLC mesophases and their…

We explore the rheology and flow-induced morphological changes of cholesteric liquid crystal patterns subject to Poiseuille flow within a slab geometry, and under different anchoring conditions at the wall. Our focus is particularly on the…

Soft Condensed Matter · Physics 2017-02-15 Oliver Wiese , Davide Marenduzzo , Oliver Henrich