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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…

软凝聚态物质 · 物理学 2016-07-20 O. M. Tovkach , M. Carme Calderer , Dmitry Golovaty , Oleg Lavrentovich , Noel J. Walkington

Advent of nematic liquid crystals flows have attracted renewed attention in view of microfluidic transport phenomena. Among various transport processes, electroosmosis stands as one of the efficient flow actuation method through narrow…

流体动力学 · 物理学 2017-08-02 Antarip Poddar , Jayabrata Dhar , Suman Chakraborty

We use a variational principle to derive a mathematical model for a nematic electrolyte in which the liquid crystalline component is described in terms of a second-rank order tensor. The model extends the previously developed director-based…

We derive a mathematical model of a nematic electrolyte based on the Leslie-Ericksen theory of liquid crystal flow. Our goal is to investigate the nonlinear electrokinetic effects that occur because the nematic matrix is anisotropic, in…

软凝聚态物质 · 物理学 2016-06-07 M. Carme Calderer , Dmitry Golovaty , Oleg Lavrentovich , Noel J. Walkington

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 · 物理学 2009-10-31 Thomas John , Ralf Stannarius , Ulrich Behn

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…

凝聚态物理 · 物理学 2007-05-23 A. I. Leonov , V. S. Volkov

Dynamics of small particles, both living such as swimming bacteria and inanimate, such as colloidal spheres, has fascinated scientists for centuries. If one could learn how to control and streamline their chaotic motion, that would open…

软凝聚态物质 · 物理学 2023-02-08 Oleg D. Lavrentovich

Successful realization of ferromagnetic nematic liquid crystals has opened up the possibility to experimentally study a completely new set of fundamental physical phenomena. In this contribution we present a detailed investigation of some…

软凝聚态物质 · 物理学 2018-08-20 Nerea Sebastian , Natan Osterman , Darja Lisjak , Martin Čopič , Alenka Mertelj

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…

软凝聚态物质 · 物理学 2021-03-30 O. S. Tarnavskyy , M. F. Ledney

We study colloidal particles in a nematic-liquid-crystal-filled microfluidic channel and show how elastic interactions between the particle and the channel wall lead to different particle dynamics compared with conventional microfluidics.…

软凝聚态物质 · 物理学 2017-07-31 Sourav Mondal , Apala Majumdar , Ian M. Griffiths

The common description of the electrical behavior of a nematic liquid crystal as an anisotropic dielectric medium with (weak) ohmic conductivity is extended to an electrodiffusion model with two active ionic species. Under appropriate, but…

patt-sol · 物理学 2008-02-03 Martin Treiber , Lorenz Kramer

Capillary microflows of liquid crystal phases are central to material, biological and bio-inspired systems. Despite their fundamental and applied significance, a detailed understanding of the stationary behaviour of nematic liquid crystals…

软凝聚态物质 · 物理学 2021-07-21 Paul Steffen , Eric Stellamanns , Anupam Sengupta

We study ionic and mass transport in a liquid crystalline fluid film in its nematic phase under an applied electrostatic field. Both analytic and numerical solutions are given for some prototypical configurations of interest in…

软凝聚态物质 · 物理学 2018-03-23 Christopher Conklin , Jorge Vinals

The director configuration of disclination lines in nematic liquid crystals in the presence of an external magnetic field is evaluated. Our method is a combination of a polynomial expansion for the director and of further analytical…

软凝聚态物质 · 物理学 2009-10-30 Henryk Arodz , Joachim Stelzer

Recently Biscari, DiCarlo and Turzi ["Anisotropic wave propagation in nematic liquid crystals", to appear (arXiv:1311.1802)] proposed a theory for nematoacustics which models nematic liquid crystals as nematic elastomers with molecular…

软凝聚态物质 · 物理学 2019-02-20 Stefano S. Turzi

Electrophoresis is a motion of charged dispersed particles relative to a fluid in a uniform electric field. The effect is widely used to separate macromolecules, to assemble colloidal structures, to transport particles in nano- and…

软凝聚态物质 · 物理学 2011-01-21 Oleg D. Lavrentovich , Israel Lazo , Oleg P. Pishnyak

Polarization flutter, produced by an applied AC electric field drives an equilibrium ferroelectric nematic ($\mathrm{N_F}$) liquid crystal (LC) through a transition into a dissipative active ferroelectric nematic state exhibiting strong…

We describe electrophoresis of spherical dielectric particles in a uniformly aligned nematic medium with a negative dielectric anisotropy. A spherical particle that orients the liquid crystal (LC) perpendicularly to its surface moves under…

软凝聚态物质 · 物理学 2013-04-10 Israel Lazo , Oleg D. Lavrentovich

We consider a mathematical model that describes the flow of a Nematic Liquid Crystal (NLC) film placed on a flat substrate, across which a spatially-varying electric potential is applied. Due to their polar nature, NLC molecules interact…

软凝聚态物质 · 物理学 2021-04-07 Ensela Mema , Lou Kondic , Linda J. Cummings

In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a system coupling a…

偏微分方程分析 · 数学 2019-09-04 E. Feireisl , E. Rocca , G. Schimperna , A. Zarnescu
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