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Thanks to their unique properties, nematic liquid crystals feature a variety of mechanisms for light-matter interactions. For continuous-wave optical excitations, the two dominant contributions stem from reorientational and thermal…

Motivated by recent experimental observations [U. Delabre et al, Langmuir 24, 3998, 2008] we reconsider an instability of ultrathin nematic films, spread on liquid substrates. Within a continuum elastic theory of liquid crystals, in the…

Soft Condensed Matter · Physics 2011-02-18 O. V. Manyuhina , A. -M. Cazabat , M. Ben Amar

We study light transmission through a homeotropically oriented nematic liquid crystal cell and solve self-consistently a nonlinear equation for the nematic director coupled to Maxwell's equations. We demonstrate that above a certain…

Optics · Physics 2007-05-23 Andrey E. Miroshnichenko , Igor Pinkevych , Yuri S. Kivshar

Starting from a microscopic definition of an alignment vector proportional to the polarization, we discuss the hydrodynamics of polar liquid crystals with local $C_{\infty v}$-symmetry. The free energy for polar liquid crystals differs from…

Soft Condensed Matter · Physics 2009-11-11 William Kung , M. Cristina Marchetti , Karl Saunders

Motivated by the experimental ability to produce monodisperse particles in microfluidic devices, we study theoretically the hydrodynamic stability of driven and active crystals. We first recall the theoretical tools allowing to quantify the…

Soft Condensed Matter · Physics 2012-09-06 Nicolas Desreumaux , Nicolas Florent , Eric Lauga , Denis Bartolo

In uniaxial soft matter with a reorientational nonlinearity, such as nematic liquid crystals, a light beam in the extraordinary polarization walks off its wavevector due to birefringence, while it undergoes self-focusing via an increase in…

We report on the early time ordering in a nematic liquid crystal subjected to a sudden change in external ac electric field. We compare time evolution for two different initial states of electroconvection. Electroconvection is a highly…

Soft Condensed Matter · Physics 2007-05-23 Denis Funfschilling , Michael Dennin

In the present work fournontrivial stages of electrokinetic instability are identified by direct numerical simulation (DNS) of the full Nernst-Planck-Poisson-Stokes (NPPS) system: i) The stage of the influence of the initial conditions…

Fluid Dynamics · Physics 2015-03-19 E. A. Demekhin , V. S. Shelistov , S. V. Polyanskikh

We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. Extending our previous work, we consider a general setup which incorporates dielectric anisotropy of the liquid-crystalline matrix…

Soft Condensed Matter · Physics 2016-07-20 O. M. Tovkach , M. Carme Calderer , Dmitry Golovaty , Oleg Lavrentovich , Noel J. Walkington

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

Liquid crystals have attracted enormous interest because of the variety of their phases and richness of their application. The interplay of general physical symmetries and specific molecular features generates a myriad of different…

Statistical Mechanics · Physics 2011-09-06 Marco G. Mazza , Martin Schoen

The recently discovered ferroelectric nematic liquid crystals have been reported to exhibit very large dielectric permittivity values. Here, we report a systematic investigation of the dielectric behavior of a prototypical ferroelectric…

Soft Condensed Matter · Physics 2024-02-05 Aitor Erkoreka , Josu Martinez-Perdiguero , Richard J. Mandle , Alenka Mertelj , Nerea Sebastián

We investigate the stability of a circular electrodes-coated dielectric membrane under the combined action of an electric field and all-round in-plane tension. It is known that such a membrane is susceptible to the limiting point…

Soft Condensed Matter · Physics 2023-02-21 Yibin Fu , Xiang Yu

In this paper, we study the long-time behavior of full Ericksen-Leslie system modeling the hydrodynamics of nematic liquid crystals between two dimensional unit spheres. Under a weaker assumption for Leslie's coefficients, we give the key…

Analysis of PDEs · Mathematics 2023-02-24 Tao Huang , Chengyuan Qu

We derive a multiphysics model that accounts for network elasticity with spontaneous strains, swelling and nematic interactions in liquid crystal gels (LCGs). We discuss the coupling among the various physical mechanisms, with particular…

Soft Condensed Matter · Physics 2018-11-28 Alessandro Lucantonio , Antonio DeSimone

Dielectric spectroscopy of a twist bend nematic phase of an achiral bent core liquid crystalline compound under DC bias is used to investigate its response to electric field. Two collective relaxation processes are revealed, these are…

Soft Condensed Matter · Physics 2018-09-12 K. Merkel , A. Kocot , J. K. Vij , G. Shanker

Liquid crystals are phases of matter intermediate between crystals and liquids. Whereas classical liquid crystals have been known for a long time and are used in electro-optical displays, much less is known about their quantum counterparts.…

Quantum Gases · Physics 2016-01-12 Zhigang Wu , Jens K. Block , Georg M. Bruun

We describe the basic properties and consequences of introducing active stresses, with principal direction along the local director, in cholesteric liquid crystals. The helical ground state is found to be linearly unstable to extensile…

We show theoretically that flexoelectricity stabilizes blue phases in chiral liquid crystals. Induced internal polarization reduces the elastic energy cost of splay and bend deformations surrounding singular lines in the director field. The…

Soft Condensed Matter · Physics 2011-01-31 F. Castles , S. M. Morris , E. M. Terentjev , H. J. Coles

Colloidal particles dispersed in a partially ordered medium, such as a liquid crystal (LC) phase, disturb its alignment and are subject to elastic forces. These forces are long-ranged, anisotropic and tunable through temperature or external…

Soft Condensed Matter · Physics 2013-12-05 Mykola Tasinkevych , Frederic Mondiot , Olivier Mondain-Monval , Jean-Christophe Loudet
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