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We numerically investigate crystalline order on negative Gaussian curvature capillary bridges. In agreement with the experimental results in [W. Irvine et al., Nature, "Pleats in crystals on curved surfaces", 2010, (468), 947]} we observe…

Soft Condensed Matter · Physics 2014-01-31 Verena Schmid , Axel Voigt

We study the defect structure of crystalline particle arrays on negative Gaussian curvature capillary bridges with vanishing mean curvature (catenoids). The threshold aspect ratio for the appearance of isolated disclinations is found and…

Soft Condensed Matter · Physics 2015-05-20 Mark J. Bowick , Zhenwei Yao

We study static and dynamical properties that distinguish two dimensional crystals constrained to lie on a curved substrate from their flat space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian…

Soft Condensed Matter · Physics 2007-11-12 Vincenzo Vitelli , Julius B. Lucks , David R. Nelson

The energy landscapes of electrostatically charged particles embedded on constant mean curvature surfaces are analysed for a wide range of system size, curvature, and interaction potentials. The surfaces are taken to be rigid, and the…

Soft Condensed Matter · Physics 2015-06-15 Halim Kusumaatmaja , David J. Wales

Characterizing the complex spectrum of topological defects in ground states of curved crystals is a long-standing problem with wide implications, from the mathematical Thomson problem to diverse physical realizations, including fullerenes…

Soft Condensed Matter · Physics 2016-08-03 Amir Azadi , Gregory M. Grason

Three-dimensional X-ray microtomography, coupled to rheometric measurements, enables a morphology-resolved reconstruction of capillary stresses at the grain scale in unsaturated wet granular materials. Liquid domains are automatically…

Soft Condensed Matter · Physics 2026-05-13 Ahmad Awdi , Camille Chateau , Coumba Niang , Patrick Aimedieu , Jean-Noël Roux , Abdoulaye Fall

Atomic crystals with dislocations deform plastically at low stresses via dislocation glide. Whether dislocation glide occurs in macroscopic frictional granular media has remained unknown. The discrete element method is employed to simulate…

Materials Science · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

The interior of nanoscale crystals experiences stress that compensates the capillary forces and that can be large, in the order of 1 GPa. Various studies have speculated on whether and how this surface-induced stress affects the stability…

Materials Science · Physics 2018-02-07 Nadiia Mameka , Jürgen Markmann , Jörg Weissmüller

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

Image charge effect is a fundamental problem in electrostatics. However, a proper treatment at the continuum level for many-ion systems, such as electrolyte solutions or ionic liquids, remains an open theoretical question. Here, we…

Soft Condensed Matter · Physics 2024-10-23 Tingtao Zhou , Dorian Bruch , Zhen-Gang Wang

The agglomeration of particles caused by the formation of capillary bridges has a decisive impact on the transport properties of a variety of at a first sight very different systems such as capillary suspensions, fluidized beds in chemical…

Fluid Dynamics · Physics 2021-09-24 Lei Yang , Marcello Sega , Steffen Leimbach , Sebastian Kolb , Jürgen Karl , Jens Harting

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

We study thin self-assembled columns constrained to lie on a curved, rigid substrate. The curvature presents no local obstruction to equally spaced columns in contrast to curved crystals for which the crystalline bonds are frustrated.…

Soft Condensed Matter · Physics 2011-11-09 Christian D. Santangelo , Vincenzo Vitelli , Randall D. Kamien , David R. Nelson

Thermodynamic dislocation theory incorporating dislocation impediment by the grain boundaries is developed to analyze the shear test of polycrystals. With a small set of physics based material parameters, we are able to simulate the…

Materials Science · Physics 2021-04-13 Yinguang Piao , Khanh Chau Le

When a colloidal suspension is dried, capillary pressure may overwhelm repulsive electrostatic forces, assembling aggregates that are out of thermal equilibrium. This poorly understood process confers cohesive strength to many geological…

Soft Condensed Matter · Physics 2020-03-25 Ali Seiphoori , Xiao-guang Ma , Paulo E. Arratia , Douglas J. Jerolmack

Elucidating the interplay of stress and geometry is a fundamental scientific question arising in multiple fields. In this work, we investigate the geometric frustration of crystalline caps confined on the sphere in both elastic and plastic…

Soft Condensed Matter · Physics 2022-07-22 Jingyuan Chen , Zhenwei Yao

A variational model to simultaneously treat Stress-Driven Rearrangement Instabilities, such as boundary discontinuities, internal cracks, external filaments, edge delamination, wetting, and brittle fractures, is introduced. The model is…

Analysis of PDEs · Mathematics 2020-06-24 Shokhrukh Yu. Kholmatov , Paolo Piovano

Whereas disclination defects are energetically prohibitive in two-dimensional flat crystals, their existence is necessary in crystals with spherical topology, such as viral capsids, colloidosomes or fullerenes. Such a geometrical…

Soft Condensed Matter · Physics 2020-07-01 Ireth García-Aguilar , Piermarco Fonda , Luca Giomi

Previous simulation and experimental studies have shown that some grain boundaries (GBs) can couple to applied shear stresses and be moved by them, producing shear deformation of the lattice traversed by their motion. While this coupling…

Materials Science · Physics 2012-06-18 Z. T. Trautt , A. Adland , A. Karma , Y. Mishin

We investigate the evolution of a system of colloidal particles, trapped at a fluid interface and interacting via capillary attraction, as function of the range of the capillary interaction and temperature. We address the collapse of an…

Soft Condensed Matter · Physics 2013-12-13 J. Bleibel , A. Dominguez , M. Oettel , S. Dietrich
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