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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

We introduce a new mesoscopic model for nematic liquid crystals (LCs). We extend the particle-based stochastic rotation dynamics method, which reproduces the Navier-Stokes equation, to anisotropic fluids by including a simplified…

Soft Condensed Matter · Physics 2015-05-20 Kuang-Wu Lee , Marco G. Mazza

We investigate a number of complex patterns driven by the electro-convection instability in a planarly aligned layer of a nematic liquid crystal. They are traced back to various secondary instabilities of the ideal roll patterns bifurcating…

Soft Condensed Matter · Physics 2015-12-23 Alexei Krekhov , Bernd Dressel , Werner Pesch , Vladimir Delev , Eduard Batyrshin

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

Nematic liquid crystal (LC) molecules adsorbed on two dimensional materials are aligned along the crystal directions of the hexagonal lattice. It was demonstrated that short electric pulses can reorient the aligned LC molecules in the…

In experiments, an individual chemically active liquid crystal (LC) droplet submerged in the bulk of a surfactant solution may self-propel along a straight, helical, or random trajectory. In this paper, we develop a minimal model capturing…

Soft Condensed Matter · Physics 2019-09-16 Matvey Morozov , Sebastien Michelin

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

Pattern forming instabilities induced by ultralow frequency sinusoidal voltages were studied in a rod-like nematic liquid crystal by microscopic observations and simultaneous electric current measurements. Two pattern morphologies,…

Soft Condensed Matter · Physics 2014-09-04 Peter Salamon , Nandor Eber , Alexei Krekhov , Agnes Buka

The effect of superimposed ac and dc electric fields on the formation of electroconvection and flexoelectric patterns in nematic liquid crystals was studied. For selected ac frequencies an extended standard model of the electro-hydrodynamic…

Soft Condensed Matter · Physics 2015-06-19 Alexei Krekhov , Werner Decker , Werner Pesch , Nandor Eber , Peter Salamon , Balazs Fekete , Agnes Buka

There is a recent interest in studying odd elasticity in soft solids. Current focus has been on simple solids. However, many soft solids are structured and can exhibit nematic elasticity or viscoelasticity. Here we generalize the concept of…

Soft Condensed Matter · Physics 2026-03-19 Zeyang Mou , Haijie Ren , Ding Xu , Igor S. Aranson , Rui Zhang

We present for the first time an experimental investigation of electrohydrodynamic (EHD) flows within a neutrally buoyant drop with initial radius of 2.25 mm. Utilizing particle image velocimetry (PIV) and high-speed shadowgraphy, we…

Fluid Dynamics · Physics 2025-02-19 Joel R. Karp , Bertrand Lecordier , Mostafa S. Shadloo

We investigate the connection between the transport properties and the thermodynamics of electronic systems with a tendency to form broken-symmetry mesophases evocative of the physics of liquid crystals. Through a hydrodynamic approach to…

Strongly Correlated Electrons · Physics 2009-11-13 Rafael M. Fernandes , Jörg Schmalian , Harry Westfahl

We demonstrate several examples of driving and steering of colloids when dispersed in nematic liquid crystals. The driving mechanism is based on the principle of nonlinear electrophoresis which is mediated by the asymmetry in the structure…

Soft Condensed Matter · Physics 2019-08-28 S. Hernàndez-Navarro , P. Tierno , J. Ignés-Mullol , F. Sagués

The study focuses on the 3D electro-hydrodynamic (EHD) instability for flow between to parallel electrodes with unipolar charge injection with and without cross-flow. Lattice Boltzmann Method (LBM) with two-relaxation time (TRT) model is…

Fluid Dynamics · Physics 2020-03-11 Yifei Guan , James Riley , Igor Novosselov

We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of an active nematic liquid crystal sandwiched between confining walls with various anchoring conditions. We confirm the existence of a transition between a passive…

Soft Condensed Matter · Physics 2009-11-13 D. Marenduzzo , E. Orlandini , M. E. Cates , J. M. Yeomans

Homeotropic Nematic Liquid Crystal heated from above present convective Rayleigh-Benard instability for applied thermal gradients greater than $\Delta$Tc. This threshold increase with the intensity of applied external magnetic field…

Fluid Dynamics · Physics 2013-11-19 I. Bove , J. Salán

Patterns forming spontaneously in extended, three-dimensional, dissipative systems are likely to excite several homogeneous soft modes ($\approx$ hydrodynamic modes) of the underlying physical system, much more than quasi one- and…

Pattern Formation and Solitons · Physics 2009-10-31 Axel G. Rossberg

Electron transport in clean 2D systems with weak electron-phonon (e-ph) coupling can transition from an Ohmic to a ballistic or a hydrodynamic regime. The ballistic regime occurs when electron-electron (e-e) scattering is weak whereas the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mani Chandra , Gitansh Kataria , Deshdeep Sahdev , Ravishankar Sundaraman

We report on-off intermittency in electroconvection of nematic liquid crystals driven by a dichotomous stochastic electric voltage. With increasing voltage amplitude we observe laminar phases of undistorted director state interrupted by…

patt-sol · Physics 2009-10-31 Thomas John , Ralf Stannarius , Ulrich Behn

In this paper we investigate the dynamics of liquid crystal textures in a two-dimensional nematic under applied electric fields, using numerical simulations performed using a publicly available LIquid CRystal Algorithm (LICRA) developed by…

Soft Condensed Matter · Physics 2015-05-19 B. F. de Oliveira , P. P. Avelino , F. Moraes , J. C. R. E. Oliveira
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