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Topological defects are singularities in material fields that play a vital role across a range of systems: from cosmic microwave background polarization to superconductors, and biological materials. Although topological defects and their…

Soft Condensed Matter · Physics 2017-10-06 Luca Giomi , Žiga Kos , Miha Ravnik , Anupam Sengupta

We investigate the collision of a new class of topological defects that tends to become compact as a control parameter increases to larger and larger values These new compactlike defects have, in general, more than one internal discrete…

High Energy Physics - Theory · Physics 2020-01-22 D. Bazeia , T. S. Mendonca , R. Menezes , H. P. de Oliveira

Topological defects are at the root of the large-scale organization of liquid crystals. In two-dimensional active nematics, two classes of topological defects of charges $\pm 1/2$ are known to play a major role due to active stresses.…

Soft Condensed Matter · Physics 2022-04-08 Louis Brézin , Thomas Risler , Jean-François Joanny

Topological defects are crucial to the thermodynamics and structure of condensed matter systems. For instance, when incorporated into crystalline membranes like graphene, disclinations with positive and negative topological charge…

Soft Condensed Matter · Physics 2018-08-29 Isaac R. Bruss , Gregory M. Grason

We study theoretically the shapes of a dividing epithelial monolayer of cells lying on top of an elastic stroma. The negative tension created by cell division provokes a buckling instability at a finite wave vector leading to the formation…

Biological Physics · Physics 2012-03-12 Edouard Hannezo , Jacques Prost , Jean-Francois Joanny

We investigate the dynamics of an ensemble of inelastic hard spheres confined between two horizontal plates separated a distance smaller than twice the diameter of the particles, in such a way that the system is quasi-two-dimensional. The…

Statistical Mechanics · Physics 2019-03-27 P. Maynar , M. I. García de Soria , J. Javier Brey

Recent studies point out far-reaching connections between the topological characteristics of structural glasses and their material properties, paralleling results in quantum physics that highlight the relevance of the nature of the…

Disordered Systems and Neural Networks · Physics 2026-01-21 Zhen Wei Wu , Jean-Louis Barrat , Walter Kob

During embryonic development, structures with complex geometry can emerge from planar epithelial monolayers and to study these shape transitions is of key importance for revealing the biophysical laws involved in the morphogenesis of…

Soft Condensed Matter · Physics 2023-08-29 Daria S. Roshal , Karim Azzag , Kirill K. Fedorenko , Sergei B. Rochal , Stephen Baghdiguian

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…

Fluid Dynamics · Physics 2021-05-27 Rickmoy Samanta , Naomi Oppenheimer

Point-like topological defects are singular configurations that occur in a variety of in and out of equilibrium systems with two-dimensional orientational order. As they are associated with a nonzero circuitation condition, the presence of…

Statistical Mechanics · Physics 2023-07-13 Jacopo Romano , Benoît Mahault , Ramin Golestanian

Standard two-dimensional orientation-field based phase-field models rely on a continuous scalar field to represent crystallographic orientation. The corresponding order parameter space is the unit circle, which is not simply-connected. This…

We study the low-temperature regime of an atomic liquid on the hyperbolic plane by means of molecular dynamics simulation and we compare the results to a continuum theory of defects in a negatively curved hexagonal background. In agreement…

Statistical Mechanics · Physics 2010-03-17 François Sausset , Gilles Tarjus , David R. Nelson

We study the dynamics of topological defects of a frustrated spin system displaying spiral order. As a starting point we consider the SO(3) nonlinear sigma model to describe long-wavelength fluctuations around the noncollinear spiral state.…

Strongly Correlated Electrons · Physics 2007-05-23 V. Juricic , L. Benfatto , A. O. Caldeira , C. Morais Smith

We report experiments on the dynamics of vibrated particles constrained in a two-dimensional vertical container, motivated by the following question: how to get the most out of a given external vibration to maximize internal disorder (e.g.…

Soft Condensed Matter · Physics 2022-09-07 René Zuñiga , Germán Varas , Stéphane Job

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 study the spatiotemporal patterns that emerge when an active nematic film is topologically constraint. These topological constraints allow to control the non-equilibrium dynamics of the active system. We consider ellipsoidal shapes for…

Soft Condensed Matter · Physics 2017-03-13 Francesco Alaimo , Christian Köhler , Axel Voigt

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

We investigate a counterintuitive geometric interaction between defects and curvature in thin layers of superfluids, superconductors and liquid crystals deposited on curved surfaces. Each defect feels a geometric potential whose functional…

Soft Condensed Matter · Physics 2009-11-10 Vincenzo Vitelli , Ari Turner

We study the adiabatic topological charge pumping driven by interlayer sliding in the moir\'{e} superlattices. We show that, when we slide a single layer of the twisted bilayer system relatively to the other, a moir\'{e} pattern flow and a…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Manato Fujimoto , Henri Koschke , Mikito Koshino

We investigate the mechanical response of a compressed monolayer of large and dense particles at a liquid-fluid interface: a granular raft. Upon compression, rafts first wrinkle; then, as the confinement increases, the deformation localizes…

Soft Condensed Matter · Physics 2018-02-08 Etienne Jambon-Puillet , Christophe Josserand , Suzie Protière