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There is now growing evidence of the emergence and biological functionality of liquid crystal features, including nematic order and topological defects, in cellular tissues. However, how such features that intrinsically rely on particle…

软凝聚态物质 · 物理学 2019-02-06 Romain Mueller , Julia Yeomans , Amin Doostmohammadi

Plastic deformation, at all strain rates, is accommodated by the collective motion of crystalline defects known as dislocations. Here, we extend an analysis for the energetic stability of a straight dislocation, the so-called line tension…

材料科学 · 物理学 2018-08-29 Daniel N. Blaschke , Benjamin A. Szajewski

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

无序系统与神经网络 · 物理学 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

Tubular crystals, two-dimensional lattices wrapped into cylindrical topologies, arise in many contexts, including botany and biofilaments, and in physical systems such as carbon nanotubes. The geometrical principles of botanical…

软凝聚态物质 · 物理学 2016-10-05 Daniel A. Beller , David R. Nelson

Elucidating the interplay of defect and stress at the microscopic level is a fundamental physical problem that has strong connection with materials science. Here, based on the two-dimensional crystal model, we show that the instability mode…

软凝聚态物质 · 物理学 2020-06-19 Zhenwei Yao

Dislocations are topological defects known to be crucial in the onset of plasticity and in many properties of crystals. Classical Elasticity still fails to fully explain their dynamics under extreme conditions of high strain gradients and…

软凝聚态物质 · 物理学 2021-01-05 P. C. N. Pereira , S. W. S. Apolinario

When a nematic liquid crystal is confined in a porous medium with strong anchoring conditions, topological defects, called disclinations, are stably formed with numerous possible configurations. Since the energy barriers between them are…

软凝聚态物质 · 物理学 2015-06-12 Takeaki Araki

How do topological defects affect the degree of order in active matter? To answer this question we investigate an agent-based model of self-propelled particles, which accounts for polar alignment and short-ranged repulsive interactions. For…

软凝聚态物质 · 物理学 2014-04-30 Christoph A. Weber , Christopher Bock , Erwin Frey

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,…

软凝聚态物质 · 物理学 2023-06-28 Alvin Modin , Biswarup Ash , Kelsey Ishimoto , Robert L. Leheny , Francesca Serra , Hillel Aharoni

We propose a discrete lattice model of the energy of dislocations in three-dimensional crystals which properly accounts for lattice symmetry and geometry, arbitrary harmonic interatomic interactions, elastic deformations and discrete…

偏微分方程分析 · 数学 2024-07-23 Sergio Conti , Adriana Garroni , Michael Ortiz

Through experiments, we studied defect turbulence, a type of spatiotemporal chaos in planar systems of nematic liquid crystals, to clarify the chaotic advection of weak turbulence. In planar systems of large aspect ratio, structural…

软凝聚态物质 · 物理学 2016-10-12 Takayuki Narumi , Yosuke Mikami , Tomoyuki Nagaya , Hirotaka Okabe , Kazuhiro Hara , Yoshiki Hidaka

We study the deformation of a fluctuating crystalline sheet confined between two flat rigid walls as a simple model for layered solids where bonds among atoms {\it within} the same layer are much stronger than those {\it between} layers.…

软凝聚态物质 · 物理学 2020-07-02 Debankur Das , Jürgen Horbach , Peter Sollich , Tanusri Saha-Dasgupta , Surajit Sengupta

Topological defects in solids, usually described by complicated boundary conditions in elastic theory, may be described more simply as sources of a gravity- like deformation field in the geometric approach of Katanaev and Volovich. This…

软凝聚态物质 · 物理学 2009-10-31 A. de Padua , Fernando Parisio-Filho , Fernando Moraes

The kinetics of dislocations is studied with computer simulation at loadings of different intensity. It is established that the dislocations have a few different structural states. The dislocations "with the micropore" play important role…

材料科学 · 物理学 2007-05-23 L. S. Metlov

The incompatibility of linearized piecewise smooth strain field, arising out of volumetric and surface densities of topological defects and metric anomalies, is investigated. First, general forms of compatibility equations are derived for a…

数学物理 · 物理学 2019-03-27 Animesh Pandey , Anurag Gupta

Crystalline materials deform in an intermittent way via dislocation-slip avalanches. Below a critical stress, the dislocations are jammed within their glide plane due to long-range elastic interactions and the material exhibits plastic…

软凝聚态物质 · 物理学 2015-05-20 Georgios Tsekenis , Nigel Goldenfeld , Karin A. Dahmen

An introduction to the defects which dominate the physics of superfluid He$^4$ films, of superconducting slabs and of crystalline and hexatic membranes is given. We first review point vortices in two-dimensional neutral superfluids and…

凝聚态物理 · 物理学 2007-05-23 David R. Nelson

Manipulating topological disclination networks that arise in a symmetry-breaking phase transfor- mation in widely varied systems including anisotropic materials can potentially lead to the design of novel materials like conductive…

软凝聚态物质 · 物理学 2017-12-19 Amit Kumar Bhattacharjee

We use a discrete dislocation dynamics (DDD) approach to study the motion of a dislocation under strong stochastic forces that may cause bending and roughening of the dislocation line on scales that are comparable to the dislocation core…

材料科学 · 物理学 2018-07-26 Jianhui Zhai , Michael Zaiser

We investigate the effects of topological defects (dislocations) to the ground state of the solid-on-solid (SOS) model on a simple cubic disordered substrate utilizing the min-cost-flow algorithm from combinatorial optimization. The…

无序系统与神经网络 · 物理学 2009-10-31 Frank O. Pfeiffer , Heiko Rieger