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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…

软凝聚态物质 · 物理学 2011-02-18 O. V. Manyuhina , A. -M. Cazabat , M. Ben Amar

The two-dimensional regular and chaotic electro-convective flow states of a dielectric liquid between two infinite parallel planar electrodes are investigated using a two-relaxation-time lattice Boltzmann method. Positive charges injected…

流体动力学 · 物理学 2021-08-17 Qi Wang , Yifei Guan , Junyu Huang , Jian Wu

Electronic nematic order is a correlated phase of matter in which low-energy electronic states spontaneously break a discrete rotational symmetry of a crystal lattice. Bilinear coupling between the electronic nematic and strains of the same…

We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nematic liquid crystal within a bounded domain in two or three…

偏微分方程分析 · 数学 2026-05-19 Hengrong Du , Fizay-Noah Lee , Gieri Simonett

Vertically aligned mono-domain nematic liquid crystal elastomers contract when heated. If a temperature gradient is applied across the width of such a cantilever, inhomogeneous strain distribution leads to bending motion. We modelled the…

软凝聚态物质 · 物理学 2009-11-13 K. K. Hon , D. Corbett , E. M. Terentjev

Electronic nematicity, the breaking of the crystal lattice rotational symmetry by the electronic fluid, is a fascinating quantum state of matter. Recently, BaNi$_2$As$_2$ has emerged as a promising candidate for a novel type of nematicity…

Active nematics are an important new paradigm in soft condensed matter systems. They consist of rod-like components with an internal driving force pushing them out of equilibrium. The resulting fluid motion exhibits chaotic advection, in…

We propose a dynamical theory of the stripe phase arising in a two-dimensional electron liquid near half-integral fillings of high Landau levels. The system is modelled as a novel type of a smectic liquid crystal with the Lorentz force…

介观与纳米尺度物理 · 物理学 2009-10-31 M. M. Fogler , V. M. Vinokur

The present work revisits the reduction of the nonlinear dynamics of an electromechanical system through a quasi-steady state hypothesis, discussing the fundamental aspects of this type of approach and clarifying some confusing points found…

Liquid crystalline media mediate interactions between suspended particles and confining geometries, which not only has potential to guide patterning and bottom-up colloidal assembly, but can also control colloidal migration in microfluidic…

软凝聚态物质 · 物理学 2024-04-12 Karolina Wamsler , Louise C. Head , Tyler N. Shendruk

We consider the Beris-Edwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on the effect of the flow. We show that in the co-rotational…

动力系统 · 数学 2018-05-09 Adrian C. Murza , Antonio E. Teruel , Arghir D. Zarnescu

Ferroelectric nematic phases are a new class of polar fluids in which spontaneous polarization is directly coupled to the orientational order, providing unique opportunities for creating self-organized materils with spatially modulated…

In this paper, we consider the numerical approximations for a hydrodynamical model of smectic-A liquid crystals. The model, derived from the variational approach of the modified Oseen-Frank energy, is a highly nonlinear system that couples…

数值分析 · 数学 2017-10-05 Rui Chen , Xiaofeng Yang , Hui Zhang

Many recent experiments addressed manifestations of electronic crystals, particularly the charge density waves, in nano-junctions, under electric field effect, at high magnetic fields, together with real space visualizations by STM and…

强关联电子 · 物理学 2018-07-23 Serguei Brazovskii , Natasha Kirova

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…

软凝聚态物质 · 物理学 2010-05-05 Quan Zhang , Leo Radzihovsky

Recent experiments show that quasi-one-dimensional lattices of self-propelled droplets exhibit collective instabilities in the form of out-of-phase oscillations and solitary-like waves. This hydrodynamic lattice is driven by the external…

流体动力学 · 物理学 2020-10-20 Stuart J. Thomson , Matthew Durey , Rodolfo R. Rosales

In this talk I consider a two-dimensional lattice model for liquid crystals consisting of long rods interacting via purely hard core interactions, with two allowed orientations defined by the underlying lattice. I report a rigorous proof of…

数学物理 · 物理学 2012-09-17 Alessandro Giuliani

We analyze a model of mutually-propelled filaments suspended in a two-dimensional solvent. The system undergoes a mean-field isotropic-nematic transition for large enough filament concentrations and the nematic order parameter is allowed to…

软凝聚态物质 · 物理学 2011-05-26 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

Living materials at different length scales manifest active nematic features such as orientational order, nematic topological defects, and active nematic turbulence. Using numerical simulations we investigate the impact of fluid inertia on…

软凝聚态物质 · 物理学 2022-08-10 Roozbeh Saghatchi , Mehmet Yildiz , Amin Doostmohammadi

We investigated nonlinear conduction in bulk single crystals of VO2 with precise temperature control. Two distinct nonequilibrium phenomena were identified: a gradual reduction of the charge gap and a current-induced insulator-metal…

强关联电子 · 物理学 2025-05-13 Akitoshi Nakano , Masato Imaizumi , Ichiro Terasaki
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