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Liquid crystal networks combine the orientational order of liquid crystals with the elastic properties of polymer networks, leading to a vast application potential in the field of responsive coatings, e.g., for haptic feedback,…

Soft Condensed Matter · Physics 2020-10-28 Guido L. A. Kusters , Inge P. Verheul , Nicholas B. Tito , Paul van der Schoot , Cornelis Storm

This review introduces the elasticity theory of two-dimensional crystals and nematic liquid crystals on curved surfaces, the energetics of topological defects (disclinations, dislocations and pleats) in these ordered phases, and the…

Soft Condensed Matter · Physics 2014-01-21 Vinzenz Koning , Vincenzo Vitelli

We have employed the Density Functional Theory formalism to investigate the nematic-isotropic capillary transitions of a nematogen confined by walls that favor antagonist orientations to the liquid crystal molecules (hybrid cell). We…

Statistical Mechanics · Physics 2009-11-10 I. Rodriguez-Ponce , J. M. Romero-Enrique , L. F. Rull

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev

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

Anisotropic rod-like particles form liquid crystalline phases with varying degrees of orientational and translational order. When confined geometrically, these phases can give rise to topological defects, which can be selected and…

Soft Condensed Matter · Physics 2026-05-29 Gerardo Campos-Villalobos , André F. V. Matias , Ethan I. L. Jull , Lisa Tran , Marjolein Dijkstra

In liquid-crystalline elastomers, the nematic order parameter and the induced strain vary smoothly across the isotropic-nematic transition, without the expected first-order discontinuity. To investigate this smooth variation, we measure the…

Soft Condensed Matter · Physics 2009-11-07 J. V. Selinger , H. G. Jeon , B. R. Ratna

Density-functional theory is used to investigate the phase behavior of colloidal binary hard-platelet and hard-rod fluids near a single hard wall or confined in a slit pore. The Zwanzig model, in which the orientations of the particles of…

Statistical Mechanics · Physics 2009-11-07 L. Harnau , S. Dietrich

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…

Soft Condensed Matter · Physics 2013-03-19 D. Andrienko , G. Germano , M. P. Allen

This article is focused on a multidimensional nonlinear variational wave equation which is the Euler-Lagrange equation of a variational principle arising form the theory of nematic liquid crystals. By using the method of characteristics, we…

Analysis of PDEs · Mathematics 2019-10-22 Yanbo Hu , Guodong Wang

Capillary forces acting at the surface of a liquid drop can be strong enough to deform small objects and recent studies have provided several examples of elastic instabilities induced by surface tension. We present such an example where a…

Soft Condensed Matter · Physics 2017-04-14 Hervé Elettro , Paul Grandgeorge , Sébastien Neukirch

We investigate theoretically and experimentally the optical beam propagation in the nematic liquid crystal with negative dielectric anisotropy, which is aligned homeotropically in a $80\mu m$-thickness planar cell in the presence of an…

Pattern Formation and Solitons · Physics 2015-03-09 Jing Wang , Zhenlei Ma , Junzhu Chen , Jinlong Liu , Zhuo Wang , Yiheng Li , Qi Guo , Wei Hu , Li Xuan

The surface alignment of lyotropic chromonic liquid crystals (LCLCs) can be not only planar (tangential) but also homeotropic, with self-assembled aggregates perpendicular to the substrate, as demonstrated by mapping optical retardation and…

Active liquid crystals or active gels are soft materials which can be physically realised e.g. by preparing a solution of cytoskeletal filaments interacting with molecular motors. We study the hydrodynamics of an active liquid crystal in a…

Soft Condensed Matter · Physics 2007-06-29 D. Marenduzzo , E. Orlandini , M. E. Cates , J. M. Yeomans

The structure of a molecular liquid, in both the nematic liquid crystalline and isotropic phases, around a cylindrical macroparticle, is studied using density functional theory. In the nematic phase the structure of the fluid is highly…

Soft Condensed Matter · Physics 2009-11-11 David L. Cheung , Michael P. Allen

We consider the interaction of two-dimensional colloids, in nematic liquid crystals, with walls or geometrical boundaries. The interactions between colloidal disks and flat walls, with homeotropic boundary conditions, are always repulsive.…

Soft Condensed Matter · Physics 2009-11-10 N. M. Silvestre , P. Patricio , M. M. Telo da Gama

We derive the nonlinear fractional surface wave equation that governs compression waves at an interface that is coupled to a viscous bulk medium. The fractional character of the differential equation comes from the fact that the effective…

Fluid Dynamics · Physics 2017-11-29 Julian Kappler , Shamit Shrivastava , Matthias F. Schneider , Roland R. Netz

We exploit the long-ranged elastic fields inherent to confined nematic liquid crystals to assemble colloidal particles trapped at the liquid crystal interface into reconfigurable structures with complex symmetries and packings. Spherical…

Mixtures of nematic liquid crystals and isotropic fluids display a diverse range of phase behaviors, arising from the coupling between orientational order and concentration fluctuations. In this review, we introduce a simplified…

Soft Condensed Matter · Physics 2026-04-13 Margarida M. Telo da Gama , Rodrigo C. V. Coelho

Nematic interfaces are thin fluid films, ideally two-dimensional, endowed with an in-plane degenerate nematic order. In this letter we examine a generalisation of the classical Plateau problem to an axisymmetric nematic interface bounded by…

Soft Condensed Matter · Physics 2018-05-30 Gaetano Napoli , Luigi Vergori