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The Landau-de Gennes energy in nematic liquid crystals depends on four elastic constants $L_1$, $L_2$, $L_3$, $L_4$. In the case of $L_4\neq 0$, Ball and Majumdar (Mol. Cryst. Liq. Cryst., 2010) found an example that the original Landau-de…

偏微分方程分析 · 数学 2022-09-30 Zhewen Feng , Min-Chun Hong

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

软凝聚态物质 · 物理学 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

Topological defects can appear whenever there is some type of ordering. Its ubiquity in nature has been the subject of several studies, from early Universe to condensed matter. In this work, we investigated the annihilation dynamics of…

软凝聚态物质 · 物理学 2015-06-15 R. R. Guimarães , R. S. Mendes , P. R. G. Fernandes , H. Mukai

Widely known for their uses in displays and electro-optics, liquid crystals are more than just technological marvels. They vividly reveal the topology and structure of various solitonic and singular field configurations, often markedly…

软凝聚态物质 · 物理学 2023-04-18 Jin-Sheng Wu , Ivan I. Smalyukh

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

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

软凝聚态物质 · 物理学 2020-08-05 Cody D. Schimming , Jorge Viñals

Mono-layers of stearic and behenic acids and mixtures of them in different proportions, deposited with the Langmuir-Blodgett technique, were used to study the alignment and the alignment dynamics in nematic liquid crystal cells. A…

软凝聚态物质 · 物理学 2009-10-30 V. S. U. Fazio , L. Komitov , S. T. Lagerwall

We study the asymptotic behavior of the minimisers of the Landau-de Gennes model for nematic liquid crystals in a two-dimensional domain in the regime of small elastic constant. At leading order in the elasticity constant, the…

偏微分方程分析 · 数学 2020-01-29 Giovanni Di Fratta , Jonathan Robbins , Valeriy Slastikov , Arghir Zarnescu

Topology can manifest itself in colloids when quantified by invariants like Euler characteristics of nonzero-genus colloidal surfaces, albeit spherical colloidal particles are most often studied, and colloidal particles with complex…

软凝聚态物质 · 物理学 2025-03-25 Jun-Yong Lee , Asha Kumari , Ye Yuan , Mykola Tasinkevych , Ivan I. Smalyukh

We use molecular dynamics to study the ordering of a nematic liquid crystal around a spherical particle or droplet. Homeotropic boundary conditions and strong anchoring create a hedgehog director configuration on the particle surface and in…

软凝聚态物质 · 物理学 2013-03-19 D. Andrienko , G. Germano , M. P. Allen

Mono-layers of stearic and behenic acids deposited with the Langmuir-Blodgett technique, were used as aligning films in nematic liquid crystal cells. During the filling process the liquid crystal adopts a deformed quasi-planar alignment…

软凝聚态物质 · 物理学 2008-02-03 V. S. U. Fazio , L. Komitov , S. T. Lagerwall

Toroidal nematics are nematic liquid crystals confined within a circular torus and subject to planar degenerate anchoring on the boundary of the torus. They may be droplets floating in an isotropic environment or cavities carved out of a…

软凝聚态物质 · 物理学 2018-04-12 Andrea Pedrini , Epifanio G. Virga

Monodisperse rod-like colloidal particles are known for spontaneously forming both nematic and smectic liquid crystal phases, but their self-assembly was typically exploited from the fundamental soft condensed matter physics perspective.…

软凝聚态物质 · 物理学 2017-12-29 Yong Xie , Yuanyuan Li , Guoqing Wei , Qingkun Liu , Haridas Mundoor , Ziyu Chen , Ivan I. Smalyukh

Cholesteric liquid crystals can exhibit spatial patterns in molecular alignment at interfaces that can be exploited for particle assembly. These patterns emerge from the competition between bulk and surface energies, tunable with the system…

软凝聚态物质 · 物理学 2023-11-30 Lisa Tran , Kyle J. M. Bishop

Rational control over the periodic arrangement of particles by means of external stimuli is a technologically important aspect of colloidal science with important physical underpinnings. Here, a robust structural control of particle…

软凝聚态物质 · 物理学 2023-04-18 Devika Venkuzhy Sudhakaran , Dinesh Kumar Sahu , Osamu Haba , Surajit Dhara

Molecules of a nematic liquid crystal respond to an applied magnetic field by reorienting themselves in the direction of the field. Since the dielectric anisotropy of a nematic is small, it takes relatively large fields to elicit a…

偏微分方程分析 · 数学 2013-01-17 M. Carme Calderer , Antonio DeSimone , Dmitry Golovaty , Alexander Panchenko

Lyotropic chromonic liquid crystals are formed by the self-assembly of aromatic compounds in concentrated solutions. Despite numerous applications of chromonic systems in optical and photonic devices, they all make use of the anisotropic…

软凝聚态物质 · 物理学 2025-12-17 Dennys Reis , Renato Mafra Moysés , Lino Misoguti , Antônio Martins Figueiredo Neto

We investigate the kinetics of constant-kernel aggregation which is augmented by either: (a) evaporation of monomers from finite-mass clusters, or (b) continuous cluster growth -- \ie, condensation. The rate equations for these two…

凝聚态物理 · 物理学 2009-10-28 Paul. L. Krapivsky , Sidney Redner

We propose a hybrid lattice Boltzmann algorithm to simulate the hydrodynamics of colloidal particles inside a liquid crystalline host. To validate our algorithm, we study the static and the microrheology of a colloid in a nematic, with…

软凝聚态物质 · 物理学 2011-02-11 J. S. Lintuvuori , D. Marenduzzo , K. Stratford , M. E. Cates

Detection of chiral molecules requires amplification of chirality to measurable levels. Typically, amplification mechanisms are considered at the microscopic scales of individual molecules and their aggregates. Here we demonstrate chirality…

软凝聚态物质 · 物理学 2015-07-28 Chenhui Peng , Oleg D. Lavrentovich