The role of curvature anisotropy in the ordering of spheres on an ellipsoid

Burke, Christopher; Mbanga, Badel L.; Wei, Zengyi; Spicer, Patrick T.; Atherton, Timothy J.

doi:10.1039/c5sm01118c

Cited by 26 publications

(32 citation statements)

References 36 publications

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“…We find no significant orientational order for positive or neutral chains [ Figs. 3(b)-3(d)], consistent with earlier simulations based on an inflation packing algorithm [31].…”

supporting

confidence: 76%

Curvature-Controlled Defect Localization in Elastic Surface Crystals

et al. 2016

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We investigate the influence of curvature and topology on crystalline dimpled patterns on the surface of generic elastic bilayers. Our numerical analysis predicts that the total number of defects created by adiabatic compression exhibits universal quadratic scaling for spherical, ellipsoidal, and toroidal surfaces over a wide range of system sizes. However, both the localization of individual defects and the orientation of defect chains depend strongly on the local Gaussian curvature and its gradients across a surface. Our results imply that curvature and topology can be utilized to pattern defects in elastic materials, thus promising improved control over hierarchical bending, buckling, or folding processes. Generally, this study suggests that bilayer systems provide an inexpensive yet valuable experimental test bed for exploring the effects of geometrically induced forces on assemblies of topological charges.

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“…We find no significant orientational order for positive or neutral chains [ Figs. 3(b)-3(d)], consistent with earlier simulations based on an inflation packing algorithm [31].…”

supporting

confidence: 76%

Curvature-Controlled Defect Localization in Elastic Surface Crystals

et al. 2016

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“…Consistent with prior work, we define n d , the excess dislocations beyond the twelve required by topology as [26],…”

Section: Geometrymentioning

confidence: 99%

Geometry and kinetics determine the microstructure in arrested coalescence of Pickering emulsion droplets

et al. 2019

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An important strategy to stabilize emulsions is to arrest coalescence of the constituent droplets with an opposing rheological force. Colloidal particles adsorbed on the surface of emulsion droplets in a Pickering emulsion become increasingly crowded during successive coalescence events because the combined surface area of coalescing droplets is less than that of the constituent droplets. Beyond a critical density, the particles form a rigid shell around the droplet and inhibit both relaxation of the droplet shape and further coalescence. The resulting droplets have a nonuniform distribution of curvature and, depending on the initial coverage, may incorporate a region with negative Gaussian curvature around the neck that bridges the two droplets. Here, we resolve the relative influence of the curvature and the kinetic process of arrest on the microstructure of the final state. Identifying the dimensionless ratio of the rate of area changeȦ to the diffusion constant D as a measure of the importance of kinetics in this system, we show that this depends on the extrinsic geometry of the surface as opposed to the static packings that depend solely on intrinsic geometry. arXiv:1903.00305v1 [cond-mat.soft]

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“…that are allowed to move on the surface of the sphere or change type, while interacting via a truncated LJ interaction of strength . The packing of particles on spherical surfaces have been used also as a model for colloidosomes [38][39][40][41][42][43]. For reference, we take our ideal [44] system as only composed of hexagonal (σ H = σ) and pentagonal (σ P = σ/(2 sin(π/5))) particles.…”

Section: Packing Of Proteins On Spherical Shells; a Mesoscale Modelmentioning

confidence: 99%

Beyond icosahedral symmetry in packings of proteins in spherical shells

Mosayebi

Shoemark

Fletcher

et al. 2017

Proc. Natl. Acad. Sci. U.S.A.

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The formation of quasi-spherical cages from protein building blocks is a remarkable self-assembly process in many natural systems, where a small number of elementary building blocks are assembled to build a highly symmetric icosahedral cage. In turn, this has inspired synthetic biologists to design de novo protein cages. We use simple models, on multiple scales, to investigate the self-assembly of a spherical cage, focusing on the regularity of the packing of protein-like objects on the surface. Using building blocks, which are able to pack with icosahedral symmetry, we examine how stable these highly symmetric structures are to perturbations that may arise from the interplay between flexibility of the interacting blocks and entropic effects. We find that, in the presence of those perturbations, icosahedral packing is not the most stable arrangement for a wide range of parameters; rather disordered structures are found to be the most stable. Our results suggest that () many designed, or even natural, protein cages may not be regular in the presence of those perturbations and () optimizing those flexibilities can be a possible design strategy to obtain regular synthetic cages with full control over their surface properties.

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The role of curvature anisotropy in the ordering of spheres on an ellipsoid

Cited by 26 publications

References 36 publications

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Geometry and kinetics determine the microstructure in arrested coalescence of Pickering emulsion droplets

Beyond icosahedral symmetry in packings of proteins in spherical shells

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