Liquid Crystals with Patterned Molecular Orientation as an Electrolytic Active Medium

Transport of fluids and particles at the microscale is an important theme both in fundamental and applied science. One of the most successful approaches is to use an electric field, which requires the system to carry or induce electric charges. We describe a versatile approach to generate electrokinetic flows by using a liquid crystal (LC) with surface-patterned molecular orientation as an electrolyte. The surface patterning is produced by photo-alignment. In the presence of an electric field, the spatially varying orientation induces space charges that trigger flows of the LC. The active patterned LC electrolyte converts the electric energy into the LC flows and transport of embedded particles of any type (fluid, solid, gaseous) along a predesigned trajectory, posing no limitation on the electric nature (charge, polarizability) of these particles and interfaces. The patterned LC electrolyte exhibits a quadratic field dependence of the flow velocities; it induces persistent vortices of controllable rotation speed and direction that are quintessential for micro- and nanoscale mixing applications.Comment: 35 pages, 10 figure

Nonlinear nonequilibrium dynamics in a nematic liquid crystal.

Liquid crystals are elongated molecules with a rich and surprising phase behavior. Nonequilibrium conditions open a myriad possibilities of manipulating matter, and reach collective states not accessible under equilibrium conditions. We perform nonequilibrium molecular dynamics simulations of a nematic liquid crystal flowing around a colloidal particle. Because of a mismatch between the nematic far field alignment and the local orientation of the liquid-crystal molecules at the surface of the colloid, defect topologies arise if the host is in thermodynamic equilibrium. We study the flow-induced modications of these topological defects. We find that Saturn ring defects are convected downstream along the flow direction, which is in agreement with experimental observations [1]. As Poiseuille flow is initiated, the Saturn ring is deformed. The degree of deformation is analyzed quantitatively in terms of characteristic geometric parameters fitted to suitable projections of the Saturn ring. Our results suggest that smaller Saturn rings are shifted downstream while approximately maintaining their circular shape, whereas larger ones exhibit an elastic deformation in addition. Additionally, we show that flow distorts Boojum defects into an asymmetrically larger downstream lobe. For a Janus colloid, exhibiting a Boojum defect and a Saturn ring defect, we find that the Boojum defect facing the upstream direction is destroyed and the Saturn ring is convected downstream. Furthermore, we study a similar system of a nematic liquid crystal flowing around a cylindrical pillar. We report flow-induced cavitation in an anisotropic fluid. Cavitation domains nucleate due to a sudden drop in pressure upon flow past the cylindrical obstacle. The inception and growth of cavitation domains ensue in the laminar flow regime. We study the physical principles governing the cavitation phenomena in nematic liquid crystals, and identify a critical value of the Reynolds number for cavitation inception that scales inversely with the characteristic order parameter of the nematic liquid crystal. Strikingly, the critical Reynolds number can be as low as about 50% of the cavitation threshold in the isotropic liquid crystal. These findings suggest that long range ordering, and its tunability, can be potentially applied as a novel control parameter to modulate cavitation inception in anisotropic fluids. Additionally, we find very good agreement with earlier micro fluidic experiments [2] at smaller flow speeds before cavitation initiates. Our simulations are able to reproduce the structural changes within the micro fluidic channel at different flow speeds

Friction Drag on a Particle Moving in a Nematic Liquid Crystal

The flow of a liquid crystal around a particle does not only depend on its shape and the viscosity coefficients but also on the direction of the molecules. We studied the resulting drag force on a sphere moving in a nematic liquid crystal (MBBA) in a low Reynold's number approach for a fixed director field (low Ericksen number regime) using the computational artificial compressibility method. Taking the necessary disclination loop around the sphere into account, the value of the drag force anisotropy (F_\perp/F_\parallel=1.50) for an exactly computed field is in good agreement with experiments (~1.5) done by conductivity diffusion measurements. We also present data for weak anchoring of the molecules on the particle surface and of trial fields, which show to be sufficiently good for most applications. Furthermore, the behaviour of the friction close to the transition point nematic isotropic and for a rod-like and a disc-like liquid crystal will be given.Comment: 23 pages RevTeX, including 3 PS figures, 1 PS table and 1 PS-LaTeX figure; Accepted for publication in Phys. Rev.

Strukture polja v aktivnih in pasivnih tekočih kristalih

Field structures are developed in passive and active nematic fluids. These are field profiles that are determined by confinement, particles, flow and external fields. Our central methodological approach is numerical modeling based on free energy minimization with finite difference method and flow modeling with hybrid lattice Boltzmann method. We develop structures by combining concepts of topological defects, external confinement and colloidal particles. Ordering properties of horseshoe nematic colloidal particles with planar degenerate anchoring are investigated with numerical modeling, where we optimize their geometrical parameters such that the particle exhibit attractive interactions and can self assemble into 2D and even 3D colloidal crystals. The metamaterial response of horseshoe colloids that perform as split ring resonators is studied. Optical cloaking is achieved by generating polymer microstructures embedded directly within a electric field switchable liquid crystal device. Using numerical modelling we explore the director field structures forming in the vicinity of composite colloidal particles with specially designed conic anchoring, which are assumed to induce high multipoles. Simple rule that allow predictions of multipolar moment from defect configuration is extracted. Starting with a gyroid structure, which is a photonic crystal by itself, we introduce an achiral and chiral nematic into one labyrinth of channels with homeotropic anchoring. Complexly shaped channels induce both ordered and disordered structures of defects. Simulating the passive nematic flow in porous microchannels we study the formation of individual umbilic defects of various strength and umbilic defect lattices that arise as the consequence of complex velocity field containing both multiple peaks and saddles. We investigate the 3D active turbulence in droplets of active nematic with homeotropic and non slip boundary condition. The transition from the point defect to the active turbulence is studied by analysing both the topological defects and corresponding events as well as flow. More generally, this work is aimed at the development of novel functional soft matter, which can exhibit exciting and unusual material characteristics, including light guiding, topological defect states, photonic bandgaps, metamaterials and optical cloaking.V doktorskem delu smo razvili strukture polja v pasivnih in aktivnih nematskih tekočinah. Ti profili v polju so določeni z ograditvijo, delci, tokom in zunanjimi polji. Osrednji raziskovalni pristop je numerično modeliranje, ki temelji na minimizaciji proste energije z metodo končnih diferenc, in modeliranje toka s hibridno mrežno Boltzmannovo metodo. Ustvarjene strukture so rezultat kombinacije topoloških defektov, zunanje ograditve in koloidnih delcev. Preučevali smo urejanje podkvastih koloidnih delcev s planarnim sidranjem. Geometrijske parametre koloidnega delca smo optimizirali tako, da so delci medsebojno interagirali privlačno in so se lahko sestavili v 2D in tudi 3D koloidne kristale. Študirali smo tudi metamaterialni odziv tovrstnih podkvastih koloidov, ki se obnašajo kot resonatorji. Pokazali smo optično zakrivanje z ustvarjanjem polimernih struktur direktno v tekočekristalni celici, nastavljivi z električnim poljem. S pomočjo numeričnega modeliranja smo raziskali strukture v nematskem polju, ki se formirajo v okolici kompozitnih koloidnih delcev s posebnim koničnim sidranjem in ustvarjajo višje multipolne momente. Predstavimo tudi preprosto pravilo, s katerim lahko napovemo multipolni moment samo z opazovanjem defektnih struktur. V enega od obeh prepletov kanalov, v giroidni strukturi, uvedemo kiralni in nekiralni nematski tekoči kristal. Kompleksna oblika kanalov povzroči nastanek tako urejenih, kot tudi neurejenih defektnih struktur. Simuliramo pasivni nematski tok v poroznih mikrokanalih in študiramo nastanek umbiličnih defektov različnih moči ter regularnih mrež umbiličnih defektov, ki nastanejo zaradi sedelnih in ekstremalnih točk v toku. Preučimo 3D aktivno turbulenco v kapljicah aktivnega nematika s homeotropnimi robnimi pogoji. Študiramo prehod iz točkastega defekta v topološko turbulenco z analizo topoloških defektov in topoloških dogodkov, kot tudi z analizo samega toka. To delo je torej namenjeno razvoju nove funkcionalne mehke snovi, ki ima zanimive lastnosti, kot so na primer vodenje svetlobe, topološka defektna stanja, fotonske reže, metamateriali in optično zakrivanje

Cross-talk between topological defects in different fields revealed by nematic microfluidics

Topological defects are singularities in material fields that play a vital role across a range of systems: from cosmic microwave background polarization to superconductors, and biological materials. Although topological defects and their mutual interactions have been extensively studied, little is known about the interplay between defects in different fields -- especially when they co-evolve -- within the same physical system. Here, using nematic microfluidics, we study the cross-talk of topological defects in two different material fields -- the velocity field and the molecular orientational field. Specifically, we generate hydrodynamic stagnation points of different topological charges at the center of star-shaped microfluidic junctions, which then interact with emergent topological defects in the orientational field of the nematic director. We combine experiments, and analytical and numerical calculations to demonstrate that a hydrodynamic singularity of given topological charge can nucleate a nematic defect of equal topological charge, and corroborate this by creating $-1$, $-2$ and $-3$ topological defects in $4-$, $6-$, and $8-$arm junctions. Our work is an attempt toward understanding materials that are governed by distinctly multi-field topology, where disparate topology-carrying fields are coupled, and concertedly determine the material properties and response.Comment: 18 pages, 9 figure