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Novel behavior in electroconvection (EC) has been detected in nematic liquid crystals (NLCs) under the condition of comparable timescales of the director relaxation and the period of the driving ac voltage. The studied NLCs exhibit standard…

Soft Condensed Matter · Physics 2009-11-13 Tibor Toth-Katona , Nandor Eber , Agnes Buka , Alexei Krekhov

We use a set of simplified non-linear Langevin equations to study the hydrodynamic excitations in a nematic liquid crystal. We calculate the one-loop self-energy corrections in the long wavelength limit.

Condensed Matter · Physics 2008-02-03 Gu Yan , Tom C. Lubensky

For the first time the electrohydrodynamic convection (EHC) of nematic liquid crystals is studied via fully nonlinear simulation. As a system of rich pattern-formation the EHC is mostly studied with negative nematic liquid crystals…

Soft Condensed Matter · Physics 2016-12-28 Kuang-Wu Lee , Thorsten Pöschel

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…

Soft Condensed Matter · Physics 2024-10-15 Rabin Poudel , Yasemin Sengul , L. Angela Mihai

We consider a continuum model of active viscoelastic matter, whereby an active nematic liquid-crystal is coupled to a minimal model of polymer dynamics with a viscoelastic relaxation time $\tau_C$. To explore the resulting interplay between…

Soft Condensed Matter · Physics 2016-03-30 E. J. Hemingway , M. E. Cates , S. M. Fielding

Polar nematic liquid crystals have two special features, compared with conventional nematic liquid crystals. First, because of flexoelectricity, the combination of polar order and splay reduces the free energy. Second, because of…

Soft Condensed Matter · Physics 2025-07-08 Lincoln Paik , Jonathan V. Selinger

The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

Analysis of PDEs · Mathematics 2015-04-07 Matthias Hieber , Jan Pruess

Recent experimental realization of ferroelectric nematic liquid crystalline phases stimulated material development and numerous experimental studies of these new phases, guided by their fundamental and applicative interest. In this…

Soft Condensed Matter · Physics 2022-08-18 Nerea Sebastián , Martin Čopič , Alenka Mertelj

We discuss instabilities of fluid films of nanoscale thickness, with a particular focus on films where the destabilising mechanism allows for linear instability, metastability, and absolute stability. Our study is motivated by nematic…

Soft Condensed Matter · Physics 2018-04-04 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

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

We report experimental and theoretical results on the flexoelectric instability and crossover between flexoelectric domains and electroconvection in a hybrid aligned nematic MBBA under d.c. voltage. At threshold a spatially periodic…

Pattern Formation and Solitons · Physics 2007-05-23 V. A. Delev , A. P. Krekhov , L. Kramer

Liquid crystal elastomers (LCEs) are soft phase-changing solids that exhibit large reversible contractions upon heating, Goldstone-like soft modes and resultant microstructural instabilities. We heat a planar LCE slab to isotropic, clamp…

Soft Condensed Matter · Physics 2023-12-04 Morgan Barnes , Fan Feng , John S. Biggins

Partially wetting nematic liquid crystal (NLC) films on substrates are unstable to dewetting-type instabilities due to destablizing solid/NLC interaction forces. These instabilities are modified by the nematic nature of the films, which…

Soft Condensed Matter · Physics 2021-01-05 M. Lam , L. Kondic , L. Cummings

The research herein studies the Langevin dynamics allowing for an exchange of energy between liquid crystals and the thermal environment. This dynamics leads to fluctuation and dissipation behaviors in the motions of liquid crystals, and…

Soft Condensed Matter · Physics 2021-06-08 I. L. Ho

The nonlinear elastic properties of nematic liquid crystals have acquired new interest with the recent experimental observation of bulk modulated nematic phases which are composed by achiral molecules. We extend the Oseen-Zocher-Frank's…

Soft Condensed Matter · Physics 2018-11-09 I. Lelidis , G. Barbero

The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generation metamaterials. The goal of this article is to…

Soft Condensed Matter · Physics 2025-06-23 Sanjay Dharmavaram , Basant Lal Sharma

Recent discovery of the ferroelectric nematic phase N_F resurrects a question about stability of the uniform N_F state with respect to the formation of either standard for solid ferroelectrics domain structure, or often occurring in liquid…

Soft Condensed Matter · Physics 2021-01-27 E. I. Kats

We theoretically investigate the threshold for the director reorientation from the homeotropic state to the hybrid homeotropic-planar state and vice versa in a cell filled with a flexoelectric nematic liquid crystal (NLC) subjected to an…

Soft Condensed Matter · Physics 2021-03-30 O. S. Tarnavskyy , M. F. Ledney

We investigate the hydrodynamic stability and the formation of patterns in a continuum model of epithelial layers, able to account for the interplay between mechanical activity, lateral adhesion and the $6-$fold orientational order…

Soft Condensed Matter · Physics 2025-02-19 Josep-Maria Armengol-Collado , Leonardo Puggioni , Livio N. Carenza , Luca Giomi

The recent discovery of ferroelectric nematic liquid crystalline phases marks a major breakthrough in soft matter research. An intermediate phase, often observed between the nonpolar and the ferroelectric nematic phase, shows a distinct…