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We explore models of hard-rod fluids with a finite number of allowed orientations, and construct their bulk phase diagrams within Onsager's second virial theory. For a one-component fluid, we show that the discretization of the orientations…

软凝聚态物质 · 物理学 2007-05-23 Kostya Shundyak , René van Roij

The motion of topological defects is an important feature of the dynamics of all liquid crystals, and is especially conspicuous in active liquid crystals. Understanding defect motion is a challenging theoretical problem, because the…

软凝聚态物质 · 物理学 2019-01-24 Xingzhou Tang , Jonathan V. Selinger

Knots and knotted fields enrich physical phenomena ranging from DNA and molecular chemistry to the vortices of fluid flows and textures of ordered media. Liquid crystals provide an ideal setting for exploring such topological phenomena…

软凝聚态物质 · 物理学 2014-02-28 Thomas Machon , Gareth P. Alexander

The homotopy theory of topological defects is a powerful tool for organizing and unifying many ideas across a broad range of physical systems. Recently, experimental progress has been made in controlling and measuring colloidal inclusions…

软凝聚态物质 · 物理学 2012-04-10 Gareth P. Alexander , Bryan Gin-ge Chen , Elisabetta A. Matsumoto , Randall D. Kamien

We consider soliton formation in thermal nonlinear media bounded by rectangular cross-sections and uncover a new class of nonlinear stationary topological state. Specifically, we find that stationary higher-order vortex states in standard…

光学 · 物理学 2016-04-13 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , Lluis Torner

Equilibrium fluid configurations for close binary systems can become {\em globally unstable\/}. Instabilities arise from the strong tidal interaction between the two components, which tends to make the effective two-body potential governing…

天体物理学 · 物理学 2007-05-23 Frederic A. Rasio

Spherical models of collisionless but quasi-relaxed stellar systems have long been studied as a natural framework for the description of globular clusters. Here we consider the construction of self-consistent models under the same physical…

天体物理学 · 物理学 2009-11-13 G. Bertin , A. L. Varri

In this paper, we prove the existence of doubly connected V-states (rotating patches) close to an annulus for active scalar equations with completely monotone kernels. This provides a unified framework for various results related to…

偏微分方程分析 · 数学 2025-04-14 Taoufik Hmidi , Liutang Xue , Zhilong Xue

It is shown theoretically that a one-dimensional crystal with time reversal symmetry is characterized by a Z_{2} topological invariant that predicts the existence or otherwise of edge states. This is confirmed experimentally through the…

A brief review is given of some well-known and some very recent results obtained in studies of two- and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) solitons and ones carrying vorticity S = 1 are considered.…

量子气体 · 物理学 2016-12-21 Boris A. Malomed

The topological states of the two-leg and three-leg ladders formed by two trivial quantum wires with different lattice constants are theoretically investigated. Firstly, we take two trivial quantum wires with a lattice constant ratio of 1:2…

介观与纳米尺度物理 · 物理学 2025-01-10 Jing-Run Lin , Linxi Lv , Zheng-Wei Zuo

We study the necking of a filament of complex fluid or soft solid subject to uniaxial tensile stretching, under conditions of constant imposed stress and force, by means of linear stability analysis and nonlinear simulations. We demonstrate…

软凝聚态物质 · 物理学 2016-11-22 David M. Hoyle , Suzanne M. Fielding

Recent experimental observations have suggested that topological defects can facilitate the creation of sharp features in developing embryos. Whereas these observations echo established knowledge about the interplay between geometry and…

软凝聚态物质 · 物理学 2023-07-25 Ludwig A. Hoffmann , Livio Nicola Carenza , Luca Giomi

Three structural populations with distinct average mobility are identified within an equilibrium two-dimensional Lennard-Jones fluid simulated via molecular dynamics at a constant temperature and varying density. Quantifying the structure…

软凝聚态物质 · 物理学 2018-02-05 Tamoghna Das , Jack F. Douglas

Planetary nebulae (PNe) have diverse morphological shapes, including point-symmetric and multipolar structures. Many PNe also have complicated internal structures such as torus, lobes, knots, and ansae. A complete accounting of all the…

太阳与恒星天体物理 · 物理学 2012-11-20 Sze-Ning Chong , Sun Kwok , Hiroshi Imai , Daniel Tafoya , James Chibueze

Freestanding tubular crystals offer a general description of crystalline order on deformable surfaces with cylindrical topology, such as single-walled carbon nanotubes, microtubules, and recently reported colloidal assemblies. These systems…

软凝聚态物质 · 物理学 2023-09-11 Andrei Zakharov , Daniel A. Beller

We study a continuum model of an extensile active nematic to show that mesoscale turbulence develops in two stages: (i) ordered regions undergo an intrinsic hydrodynamic instability generating walls, lines of stong bend deformations, (ii)…

软凝聚态物质 · 物理学 2015-06-18 Sumesh P. Thampi , Ramin Golestanian , Julia M. Yeomans

The succession of suggested mechanisms of solid-state phase transitions - Second-order, Lambda, Martensitic, Displacive, Topological, Order-Disorder, Soft-mode, Incommensurate, Scaling and Quantum - are analyzed and explained why they…

材料科学 · 物理学 2013-12-30 Yuri Mnyukh

Active materials are capable of converting free energy into directional motion, giving rise to striking dynamical phenomena. Developing a general understanding of their structure in relation to the underlying non-equilibrium physics would…

软凝聚态物质 · 物理学 2018-10-17 Nitin Kumar , Rui Zhang , Juan J. de Pablo , Margaret L. Gardel

Second-order photonic topological insulators that host highly localized corner states resilient to defects, are opening new routes towards developing fascinating photonic devices. However, the existing works on second-order photonic…

光学 · 物理学 2021-12-02 Yafeng Chen , Fei Meng , Zhihao Lan , Baohua Jia , Xiaodong Huang