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Hyperuniformity, the suppression of density fluctuations at large length scales, is observed across a wide variety of domains, from cosmology to condensed matter and biological systems. Although the standard definition of hyperuniformity…

Statistical Mechanics · Physics 2024-05-07 Marco Salvalaglio , Dominic J. Skinner , Jörn Dunkel , Axel Voigt

Defects arise when nematic liquid crystals are under topological constraints at the boundary. Recently the study of defects has drawn a lot of attention. In this paper, we investigate the relationship between two-dimensional defects and…

Soft Condensed Matter · Physics 2015-10-16 Yang Qu , Ying Wei , Pingwen Zhang

The importance of accurate simulation of the plastic deformation of ductile metals to the design of structures and components is well-known. Many techniques exist that address the length scales relevant to deformation pro- cesses, including…

Materials Science · Physics 2016-08-16 Reese Jones , Jonathan Zimmerman , Giacomo Po

Charged colloidal particles trapped at an air--water interface are well known to form an ordered crystal, stabilized by a long ranged repulsion, the details of this repulsion remain something of a mystery, but all experiments performed to…

Soft Condensed Matter · Physics 2016-12-22 Duck-Gyu Lee , Pietro Cicuta , Dominic Vella

Using computer simulations we investigate the microscopic structure of the singular director field within a nematic droplet. As a theoretical model for nematic liquid crystals we take hard spherocylinders. To induce an overall topological…

Soft Condensed Matter · Physics 2009-10-31 J. Dzubiella , M. Schmidt , H. Loewen

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…

Soft Condensed Matter · Physics 2017-09-13 Alexandre Darmon , Michael Benzaquen , Simon Čopar , Olivier Dauchot , Teresa Lopez-Leon

We study the ground state of two-dimensional classical electron solids under the influence of modulation-doped impurities by using a simulated annealing molecular dynamics method. By changing the setback distance as a parameter, we find…

Condensed Matter · Physics 2009-10-22 Min-Chul Cha , H. A. Fertig

The persistent dynamics in systems out of equilibrium, particularly those characterized by annihilation and creation of topological defects, is known to involve complicated spatiotemporal processes and is deemed difficult to control. Here…

Soft Condensed Matter · Physics 2022-11-22 Zhi-Feng Huang , Hartmut Löwen , Axel Voigt

Polar patterns and topological defects are ubiquitous in active matter. In this paper, we study a paradigmatic polar active dumbbell system through numerical simulations, to clarify how polar patterns and defects emerge and shape evolution.…

We have measured equilibrium sedimentation profiles in a colloidal model system with confocal microscopy. By tuning the interactions, we have determined the gravitational length in the limit of hard-sphere-like interactions, and using the…

Soft Condensed Matter · Physics 2009-11-10 C. P. Royall , R. van Roij , A. van Blaaderen

Liquid crystals inevitably possess topological defect excitations generated through boundary conditions, applied fields or in quenches to the ordered phase. In equilibrium pairs of defects coarsen and annihilate as the uniform ground state…

Soft Condensed Matter · Physics 2013-06-05 Luca Giomi , Mark J. Bowick , Xu Ma , M. Cristina Marchetti

Nematic colloids exhibit a large diversity of topological defects and structures induced by colloidal particles in the orientationally ordered liquid crystal host fluids. These defects and field configurations define elastic interactions…

Soft Condensed Matter · Physics 2016-12-30 Bohdan Senyuk , Qingkun Liu , Ye Yuan , Ivan I. Smalyukh

In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model in planar domains. This model is given by a…

Analysis of PDEs · Mathematics 2020-05-28 Pierluigi Cesana , Patrick van Meurs

We study the topological configurations and dynamics of individual point defect vacancies and interstitials in a two-dimensional colloidal crystal. Our Brownian dynamics simulations show that the diffusion mechanism for vacancy defects…

Soft Condensed Matter · Physics 2009-11-11 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

Disclinations lines play a key role in many physical processes, from the fracture of materials to the formation of the early universe. Achieving versatile control over disclinations is key to developing novel electro-optical devices,…

Soft Condensed Matter · Physics 2023-06-28 Alvin Modin , Biswarup Ash , Kelsey Ishimoto , Robert L. Leheny , Francesca Serra , Hillel Aharoni

A computational approach has been developed for the analysis of the properties of 3D dislocation substructures generated by the vector density continuum dislocation dynamics (CDD), within the framework of crystal plasticity. In the CDD…

We present a novel, self-consistent and robust theoretical model to investigate elastic interactions between topological defects in liquid crystal shells. Accounting for the non-concentric nature of the shell in a simple manner, we are able…

Soft Condensed Matter · Physics 2016-12-14 Alexandre Darmon , Olivier Dauchot , Teresa Lopez-Leon , Michael Benzaquen

We consider electrostatic interactions in two classes of nanostructures embedded in a three dimensional space: (1) helical nanotubes, and (2) thin films with uniform bending (i.e., constant mean curvature). Starting from the atomic scale…

Mesoscale and Nanoscale Physics · Physics 2023-04-11 Prashant K. Jha , Timothy Breitzman , Kaushik Dayal

We study conformations assumed by single diblock star copolymers in a poor solvent by means of the Gaussian variational theory and Monte Carlo simulation in continuous space. Cases of stars with internal and external hydrophobic blocks are…

Soft Condensed Matter · Physics 2007-05-23 F. Ganazzoli , Yu. A. Kuznetsov , E. G. Timoshenko

We consider two-dimensional (2d) quantum many-body systems with long-range orders, where the only gapless excitations in the spectrum are Goldstone modes of spontaneously broken continuous symmetries. To understand the interplay between…

Strongly Correlated Electrons · Physics 2024-09-30 Yan-Qi Wang , Chunxiao Liu , Yuan-Ming Lu