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In this paper we establish the uniformity property of a simplified Ericksen-Leslie system modelling the hydrodynamics of nematic liquid crystals on the two dimensional unit sphere $S^2$, namely the uniform convergence in $L^2$ to a steady…

偏微分方程分析 · 数学 2013-08-20 Changyou Wang , Xiang Xu

Evidence of a special chiral nematic phase is provided using numerical simulation and Onsager theory for systems of hard helical particles. This phase appears at the high density end of the nematic phase, when helices are well aligned, and…

We show that a fixed set of woven defect lines in a nematic liquid crystal supports a set of non-singular topological states which can be mapped on to recurrent stable configurations in the Abelian sandpile model or chip-firing game. The…

软凝聚态物质 · 物理学 2018-12-05 Thomas Machon , Gareth P. Alexander

By Monte Carlo simulations of a soft ellipsoid model for liquid crystals, we study whether a layer of grafted liquid-crystalline chain molecules can induce tilt in a nematic fluid. The chains are fairly short (four monomers) and made of the…

材料科学 · 物理学 2009-11-07 Harald Lange , Friederike Schmid

The swimming of cells, far from any boundary, can arise in the absence of long-range liquid-crystalline order within the cytoplasm, but simple models of this effect are lacking. Here we present a two-dimensional model of droplet…

软凝聚态物质 · 物理学 2020-07-29 Rajesh Singh , Elsen Tjhung , Michael E. Cates

Spider silk is biocompatible, biodegradable, and rivals some of the best synthetic materials in terms of strength and toughness. Despite extensive research, comprehensive experimental evidence of the formation and morphology of its internal…

材料科学 · 物理学 2022-07-15 Dinidu Perera , Linxuan Li , Chloe Walsh , Qijue Wang , Hannes C. Schniepp

We report the spontaneous generation of an Archimedean spiral pattern of fullerene via the evaporation of solvent. The self-organized spiral pattern exhibited equi-spacing on the order of micrometer between neighboring stripes. The…

软凝聚态物质 · 物理学 2013-03-19 Yong-Jun Chen , Kosuke Suzuki , Hitoshi Mahara , Kenichi Yoshikawa , Tomohiko Yamaguchi

The rheological properties of biological tissues are core to processes such as cancer metastasis, wound healing and embryo development. The emergence of tissue and organ structures during morphogenesis requires the precise formation of…

软凝聚态物质 · 物理学 2026-03-10 Aidan J. Nicholas , Suzanne M. Fielding

A flux liquid can condense into a smectic crystal in a pure layered superconductors with the magnetic field oriented nearly parallel to the layers. If the smectic order is commensurate with the layering, this crystal is {\sl stable} to…

凝聚态物理 · 物理学 2009-10-22 Leon Balents , David R. Nelson

We numerically investigate the morphology and disclination line dynamics of active nematic droplets in three dimensions. Although our model only incorporates the simplest possible form of achiral active stress, active nematic droplets…

软凝聚态物质 · 物理学 2021-04-07 Liam J. Ruske , Julia M. Yeomans

The interplay between active matter and its environment is central to understanding emergent behavior in biological and synthetic systems. Here, we show that coupling active nematic flows to small-amplitude deformations of a compliant…

软凝聚态物质 · 物理学 2026-01-19 Varun Venkatesh , Amin Doostmohammadi

Active solids emerge from self-actuating components interacting with each other to form crystalline patterns. In equilibrium, commensurability underpins our understanding of nanoscale friction and particle-level dynamics of crystals.…

A propagating "beam" triggering a local phase transition in a nematic elastomer sets it into a crawling motion, which may morph due to buckling. We consider the motion of the various configurations of slender rods and thin stripes with both…

生物物理 · 物理学 2016-03-23 A. P. Zakharov , L. M. Pismen

Within the Oseen-Frank theory we derive numerically exact solutions for axisymmetric localized states in chiral liquid crystal layers with homeotropic anchoring. These solutions describe recently observed two-dimensional skyrmions in…

介观与纳米尺度物理 · 物理学 2016-08-10 A. O. Leonov , I. E. Dragunov , U. K. Rößler , A. N. Bogdanov

Ferroelectric ordering in liquids is a fundamental question of physics. Here, we show that ferroelectric ordering of the molecules causes formation of recently reported splay nematic liquid-crystalline phase. As shown by dielectric…

An extremely broad and important class of phenomena in nature involves the settling and aggregation of matter under gravitation in fluid systems. Some examples include: sedimenting marine snow particles in lakes and oceans (central to…

流体动力学 · 物理学 2019-05-21 Roberto Camassa , Daniel M. Harris , Robert Hunt , Zeliha Kilic , Richard M. McLaughlin

Self-assembly of colloidal particles due to elastic interactions in nematic liquid crystals promises tunable composite materials and can be guided by exploiting surface functionalization, geometric shape and topology, though these means of…

软凝聚态物质 · 物理学 2017-12-29 Bohdan Senyuk , Qingkun Liu , Philip D. Nystrom , Ivan I. Smalyukh

Partially phase-separated liquid-crystal/polymer dispersions display highly fibrillar domain morphologies that are dramatically different from the typical structures found in isotropic mixtures. To explain this, we numerically explore the…

软凝聚态物质 · 物理学 2009-10-31 Amelia M. Lapena , Sharon C. Glotzer , Stephen A. Langer , Andrea J. Liu

Active matter comprised of self-propelled interacting units holds a major promise for extraction of useful work from its seemingly chaotic out-of-equilibrium dynamics. Streamlining active matter to produce work is especially important at…

软凝聚态物质 · 物理学 2021-03-17 Mojtaba Rajabi , Hend Baza , Taras Turiv , Oleg D. Lavrentovich

Ordered, collective motions commonly arise spontaneously in systems of many interacting, active units, ranging from cellular tissues and bacterial colonies to self-propelled colloids and animal flocks. Active phases are especially rich when…

软凝聚态物质 · 物理学 2024-07-15 Madhuvanthi Guruprasad Athani , Daniel A. Beller