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The interplay between geometry, topology and order can lead to geometric frustration that profoundly affects the shape and structure of a curved surface. In this commentary we show how frustration in this context can result in the faceting…

软凝聚态物质 · 物理学 2016-02-02 Mark Bowick , Rastko Sknepnek

We investigate the assembly of the dipole-like patchy particles confined to a spherical surface by Brownian dynamics simulations. The surface property of the spherical particle is described by the spherical harmonic $Y_{10}$, and the…

软凝聚态物质 · 物理学 2025-02-21 Uyen Tu Lieu , Natsuhiko Yoshinaga

The assembly of colloids in nematic liquid crystals via topological defects has been extensively studied for spherical particles, and investigations of other colloid shapes have revealed a wide array of new assembly behaviors. We show,…

软凝聚态物质 · 物理学 2014-12-16 Daniel A. Beller , Mohamed A. Gharbi , Iris B. Liu

Recent experiments on vesicles formed from block copolymers with liquid-crystalline side-chains reveal a rich variety of vesicle morphologies. The additional internal order ("structure") developed by these self-assembled block copolymer…

软凝聚态物质 · 物理学 2012-05-21 Xiangjun Xing , Homin Shin , Mark J. Bowick , Zhenwei Yao , Lin Jia , Min-Hui Li

We investigate experimentally and numerically the defect configurations emerging when a cholesteric liquid crystal is confined to a spherical shell. We uncover a rich scenario of defect configurations, some of them non-existent in nematic…

软凝聚态物质 · 物理学 2017-09-13 Alexandre Darmon , Michael Benzaquen , Simon Čopar , Olivier Dauchot , Teresa Lopez-Leon

Topological defects are ubiquitous on surfaces with orientational order fields. Here, we study equilibrium states generated by the feedback between geometry and nematic order on fluid membranes with an integer topological defect. When the…

软凝聚态物质 · 物理学 2024-11-14 D. J. G. Pearce , C. Thibault , Q. Chaboche , C. Blanch-Mercader

When considering flows in biological membranes, they are usually treated as flat, though more often than not, they are curved surfaces, even extremely curved, as in the case of the endoplasmic reticulum. Here, we study the topological…

流体动力学 · 物理学 2021-05-27 Rickmoy Samanta , Naomi Oppenheimer

Liquid crystals are assemblies of rod-like molecules which self-organize to form mesophases, in-between ordinary liquids and anisotropic crystals. At each point, the molecules collectively orient themselves along a privileged direction,…

软凝聚态物质 · 物理学 2023-05-03 Sébastien Fumeron , Bertrand Berche

Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlying surface and its detailed curvature. Topology…

软凝聚态物质 · 物理学 2009-07-31 Mark J. Bowick , Luca Giomi

Chemical design of block copolymers makes it possible to create polymer vesicles with tunable microscopic structure. Here we focus on a model of a vesicle made of smectic liquid-crystalline block copolymers at zero temperature. The vesicle…

软凝聚态物质 · 物理学 2018-12-19 Francesco Serafin , Mark J. Bowick , Sidney R. Nagel

We demonstrate scaffolding of plasmonic nanoparticles by topological defects induced by colloidal microspheres to match their surface boundary conditions with a uniform far-field alignment in a liquid crystal host. Displacing energetically…

Epithelial monolayers are a central building block of complex organisms. Topological defects have emerged as important elements for single cell behavior in flat epithelia. Here we theoretically study such defects in a three-dimensional…

生物物理 · 物理学 2025-02-19 Oliver M. Drozdowski , Ulrich S. Schwarz

Topological defects are distinctive signatures of liquid crystals. They profoundly affect the viscoelastic behavior of the fluid by constraining the orientational structure in a way that inevitably requires global changes not achievable…

软凝聚态物质 · 物理学 2015-06-19 Luca Giomi , Mark J. Bowick , Prashant Mishra , Rastko Sknepnek , M. Cristina Marchetti

Topological defects are one of the most conspicuous features of liquid crystals. In two dimensional nematics, they have been shown to behave effectively as particles with both, charge and orientation, which dictate their interactions. Here,…

软凝聚态物质 · 物理学 2021-07-14 Daniel J. G. Pearce , Karsten Kruse

Topological point defects on orientationally ordered spheres, and on deformable fluid vesicles have been partly motivated by their potential applications in creating super-atoms with directional bonds through functionalization of the…

软凝聚态物质 · 物理学 2020-05-27 C. Saichand , Jaya Kumar Alageshan , Arun Roy , Yashodhan Hatwalne

We investigate the morphology of a toroidal fluid membrane vesicle confined inside a spherical container. The equilibrium shapes are assembled in a geometrical phase diagram as a function of scaled area and reduced volume of the membrane.…

生物物理 · 物理学 2015-10-21 Lila Bouzar , Ferhat Menas , Martin Michael Müller

Cylindrical interfaces occur in sheared or deformed emulsions and as biological or technological lipid monolayer or bilayer tubules. Like the corresponding spherical droplets and vesicles, these cylinder-like surfaces may host orientaional…

软凝聚态物质 · 物理学 2022-06-10 Jason Klebes , Paul S. Clegg , R. M. L. Evans

Directional media, such as nematic liquid crystals and ferromagnets, are characterized by their topologically stabilized defects in directional order. In nematics, boundary conditions and surface-treated inclusions often create complex…

软凝聚态物质 · 物理学 2015-06-03 Simon Čopar , Slobodan Žumer

Because of the inevitably disordered background, structural defects are not well-defined concepts in amorphous solids. In order to overcome this difficulty, it has been recently proposed that topological defects can be still identified in…

材料科学 · 物理学 2025-07-24 Long-Zhou Huang , Yun-Jiang Wang , Matteo Baggioli

Topological defects, such as quantum vortices, determine the properties of quantum fluids. The study of their properties has been at the center of activity in solid state and BEC communities. On the other hand, the non-trivial behavior of…

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