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It is shown that step moving to meet solution flow can be unstable against lateral perturbations. The instability of long-wavelength perturbations occurs at values of the solution flow intensity less than some critical value depending on…

Condensed Matter · Physics 2009-10-28 Serge Yu. Potapenko

Active fluids display spontaneous turbulent-like flows known as active turbulence. Recent work revealed that these flows have universal features, independent of the material properties and of the presence of topological defects. However,…

Soft Condensed Matter · Physics 2026-03-19 Ido Lavi , Ricard Alert , Jean-François Joanny , Jaume Casademunt

We describe simulations of a microscopic elastic filament immersed in a fluid and subject to a uniform external force. Our method accounts for the hydrodynamic coupling between the flow generated by the filament and the friction force it…

Soft Condensed Matter · Physics 2009-11-11 M. Cosentino Lagomarsino , I. Pagonabarraga , C. P. Lowe

In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analysing the Helfrich bending energy and viscous flow stresses in the limit of highly elongated shapes, we…

Soft Condensed Matter · Physics 2026-05-08 M. A. Shishkin , E. S. Pikina

We study the long-time behavior of global strong solutions to a hydrodynamic system for nonhomogeneous incompressible nematic liquid crystal flows driven by two types of external forces in a smooth bounded domain in $\mathbb{R}^2$. For…

Analysis of PDEs · Mathematics 2013-06-27 Xianpeng Hu , Hao Wu

We have written expressions for the free energy of a cholesteric liquid crystal in an approximation using the elasticity constants K_1, K_2, K_3 and the energy variation and the corresponding energy and energy gradient along the direction…

Soft Condensed Matter · Physics 2022-05-09 I M Tambovtsev , I S Lobanov

Viewed under a fluorescence microscope, the actomyosin cytoskeleton presents vivid streaks of lines together with persistent oscillatory waves. Using an active hydrodynamic approach, we show how a uniform distribution of single or mixture…

Soft Condensed Matter · Physics 2025-04-25 Ayan Roychowdhury , Saptarshi Dasgupta , Madan Rao

Liquid crystal elastomers are cross-linked polymer networks covalently bonded with liquid crystal mesogens. In the nematic phase, due to strong coupling between mechanical strain and orientational order, these materials display…

Soft Condensed Matter · Physics 2011-11-04 Badel L. Mbanga , Fangfu Ye , Jonathan V. Selinger , Robin L. B. Selinger

The dynamics of curved vortex filaments is studied analytically and numerically in the framework of a three-dimensional complex Ginzburg-Landau equation (CGLE). It is shown that a straight vortex line is unstable with respect to spontaneous…

patt-sol · Physics 2016-09-08 I. S. Aranson , A. R. Bishop , L. Kramer

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

Statistical Mechanics · Physics 2013-01-07 Matthias Fuchs

We numerically study the dynamics of quasi-two dimensional cholesteric liquid crystal droplets in the presence of a time-dependent electric field, rotating at constant angular velocity. A surfactant sitting at droplet interface is also…

Soft Condensed Matter · Physics 2023-03-13 F. Fadda , A. Lamura , A. Tiribocchi

A computational study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out for the first time. The problem is formulated in Germano coordinates in two equivalent but different…

Fluid Dynamics · Physics 2019-08-29 Alexander Gelfgat

We investigate the dynamics of active nematic liquid crystals on deformable membranes, focusing on the interplay between active stress and anisotropic curvature coupling. Using a minimal model, we simulate the coupled evolution of the…

Soft Condensed Matter · Physics 2026-05-19 Yuki Hirota , Nariya Uchida

The study of liquid crystals at equilibrium has led to fundamental insights into the nature of ordered materials, as well as to practical applications such as display technologies. Active nematics are a fundamentally different class of…

Soft Condensed Matter · Physics 2015-08-19 Stephen J. DeCamp , Gabriel S. Redner , Aparna Baskaran , Michael F. Hagan , Zvonimir Dogic

Strongly confined active liquids are subject to unique hydrodynamic interactions due to momentum screening and lubricated friction by the confining walls. Using numerical simulations, we demonstrate that 2D dilute suspensions of fore-aft…

Soft Condensed Matter · Physics 2015-06-16 Adrien Lefauve , David Saintillan

Using numerical simulations we examine the static and dynamic properties of the recently proposed vortex liquid crystal state. We confirm the existence of a smectic-A phase in the absence of pinning. Quenched disorder can induce a smectic…

Superconductivity · Physics 2009-11-11 C. Reichhardt , C. J. Olson Reichhardt

We analyze stability of the planar orientational structure in a nematic liquid crystal (NLC) cell with planar anchoring conditions at both substrates. Specifically, we study the instabilities of the ground state caused by surface elasticity…

Soft Condensed Matter · Physics 2009-11-10 A. D. Kiselev

Chirality is a recurrent theme in the study of biological systems, in which active processes are driven by the internal conversion of chemical energy into work. Bacterial flagella, acto-myosin filaments and microtubule bundles are active…

Soft Condensed Matter · Physics 2020-05-01 Livio Nicola Carenza , Giuseppe Gonnella , Davide Marenduzzo , Giuseppe Negro

The effects of an electric field on the flow patterns and defect dynamics of two-dimensional active nematics are numerically investigated. We found that field-induced director reorientation causes anisotropic active turbulence characterized…

Soft Condensed Matter · Physics 2023-07-20 Yutaka Kinoshita , Nariya Uchida

We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

Analysis of PDEs · Mathematics 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya
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