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We study the stability and the scattering properties of a spacetime with a topological defect along a spherical bubble. This bubble connects two flat spacetimes which are asymptotically Minkowski, so that the resulting universe may be…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. P. M. Pitelli , R. A. Mosna

In this work we present a study on the characterization of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to…

Disordered Systems and Neural Networks · Physics 2019-08-14 Ariel G. Meyra , Guillermo J. Zarragoicoechea , Alberto. L. Maltz , Enrique Lomba , Salvatore Torquato

Understanding the interplay between ordered structures and substrate curvature is an interesting problem with versatile applications, including functionalization of charged supramolecular surfaces and modern microfluidic technologies. In…

Soft Condensed Matter · Physics 2018-03-23 Jingyuan Chen , Xiangjun Xing , Zhenwei Yao

In two dimensional nematics, topological defects are point like singularities with both a charge and a phase. We study topological defects within curved nematic textures on the surface of a cylinder. This allows us to isolate the effect of…

Soft Condensed Matter · Physics 2022-05-10 Daniel J. G. Pearce

We present an experimental system suitable for producing spherical crystals and for observing the distribution of lattice defects (disclinations and dislocations) on a significant fraction (50%) of the sphere. The introduction of…

Soft Condensed Matter · Physics 2007-05-23 Thomas Einert , Peter Lipowsky , Jorg Schilling , Mark J. Bowick , Andreas Bausch

We study packings of bidispersed spherical particles on a spherical surface. The presence of curvature necessitates defects even for monodispersed particles; bidispersity either leads to a more disordered packing for nearly equal radii, or…

Soft Condensed Matter · Physics 2016-08-03 Andrew M. Mascioli , Christopher J. Burke , Timothy J. Atherton

We consider vortex patch solutions of the incompressible Euler equations in the plane. It is shown that the winding number around the origin for most particles in the patch grows linearly in time when the initial patch is close to a disk…

Analysis of PDEs · Mathematics 2021-03-11 Kyudong Choi , In-Jee Jeong

It is shown that the tail in the two-level spectral correlation function R(s) for particles on 2D closed disordered surfaces is determined entirely by surface topology: $R(s)=-\chi/(6\pi^2\beta s^2)$, where $\beta$ = 1,2 or 4 for the…

Condensed Matter · Physics 2009-10-31 Vladimir E. Kravtsov , Vladimir I. Yudson

Topological point defects on orientationally ordered spheres, and on deformable fluid vesicles have been partly motivated by their potential applications in creating super-atoms with directional bonds through functionalization of the…

Soft Condensed Matter · Physics 2020-05-27 C. Saichand , Jaya Kumar Alageshan , Arun Roy , Yashodhan Hatwalne

We present a dynamic model to study ordering of particles on arbitrary curved surfaces. Thereby the particles are represented as maxima in a density field and a surface partial differential equation for the density field is solved to the…

Materials Science · Physics 2010-03-02 Rainer Backofen , Axel Voigt , Thomas Witkowski

Recent simulations have studied the formation of patterns in a binary mixture of immiscible surfactants absorbed onto the surface of a spherical nanoparticle. The resulting patterns (Janus, spots and stripes) were in good agreement with…

Soft Condensed Matter · Physics 2012-01-05 Ines C. Pons-Siepermann , Sharon C. Glotzer

We simulate a two dimensional model of self-propelled particles confined by a deformable boundary. The particles tend to accumulate near the boundary and the shape of the boundary deforms upon the collisions. We find that there are two…

Soft Condensed Matter · Physics 2018-05-18 Wen-de Tian , Yong-kun Guo , Kang Chen , Yu-qiang Ma

The formation of shear bands in amorphous solids such as glasses has remained an open question in our understanding of condensed matter and amorphous materials. Unlike in crystals, well-defined topological defects such as dislocations have…

Soft Condensed Matter · Physics 2025-07-18 Arabinda Bera , Debjyoti Majumdar , Timothy W. Sirk , Ido Regev , Alessio Zaccone

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

The surface curvature of membranes, interfaces, and substrates plays a crucial role in shaping the self-assembly of particles adsorbed on these surfaces. However, little is known about the interplay between particle anisotropy and surface…

Soft Condensed Matter · Physics 2025-10-30 Gautam Bordia , Thomas P. Russell , Ahmad K. Omar

Non-spherical emulsion droplets can be stabilized by densely packed colloidal particles adsorbed at their surface. In order to understand the microstructure of these surface packings, the ordering of hard spheres on ellipsoidal surfaces is…

Soft Condensed Matter · Physics 2015-04-16 Christopher J. Burke , Badel L. Mbanga , Zengyi Wei , Patrick T. Spicer , Timothy J. Atherton

The microscopic mechanism by which amorphous solids yield plastically under an externally applied stress or deformation has remained elusive in spite of enormous research activity in recent years. Most approaches have attempted to identify…

Soft Condensed Matter · Physics 2021-07-07 Matteo Baggioli , Ivan Kriuchevskyi , Timothy W. Sirk , Alessio Zaccone

We investigate the structure of crystalline particle arrays on constant mean curvature (CMC) surfaces of revolution. Such curved crystals have been realized physically by creating charge-stabilized colloidal arrays on liquid capillary…

Soft Condensed Matter · Physics 2016-03-29 Enrique Bendito , Mark J. Bowick , Agustin Medina , Zhenwei Yao

Arrangement of interacting particles on a sphere is historically a well known problem, however, ordering of particles with anisotropic interaction, such as the dipole-dipole interaction, has remained unexplored. We solve the orientational…

Soft Condensed Matter · Physics 2020-08-19 Andraž Gnidovec , Simon Čopar

Topological defects, which are singular points in a director field, play a major role in shaping active systems. Here, we experimentally study topological defects and the flow patterns around them, that are formed during the highly rapid…

Soft Condensed Matter · Physics 2024-03-20 Victor Yashunsky , Daniel J. G. Pearce , Gil Ariel , Avraham Be'er