For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a combination of bespoke Monte Carlo, molecular dynamics and basin-hopping methods, we show that the stable states of attractive colloids confined to non-uniformly curved surfaces are distinguished not only by the phase of matter but also by their location on the surface. Consequently, the transitions between these states involve cooperative migration of the entire colloidal assembly. We demonstrate these phenomena on toroidal and sinusoidal surfaces for model colloids with different ranges of interactions as described by the Morse potential. In all cases, the behaviour can be rationalised in terms of three universal considerations: cluster perimeter, stress, and the packing of next-nearest neighbours.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1039/d0sm00652a | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Growth regulation bringing modularity to morphogenesis of complex three-dimensional exoskeletons.
Proc Biol Sci
December 2024
Department of Liberal Arts, Nihon University School of Medicine, Itabashi-ku, Tokyo 173-8610, Japan.
Diverse three-dimensional morphologies of arthropods' outgrowths, including beetle horns, are formed through the non-uniform growth of epidermis. Prior to moulting, epidermal tissue peels off from the old cuticle and grows non-uniformly to shape protruding structures, which are often branching, curving or twisting, from the planar epidermis. This non-uniform growth is possibly regulated by the distribution of morphogens on the epidermal cell sheet.
View Article and Find Full Text PDFTo achieve non-uniform imaging with a large field of view and high efficiency as well as to obtain an adjustable fovea with super-resolution, we proposed a curved retina-like camera array imaging system (CRCS), which is built by an eight-camera array distributed non-uniformly on a curved surface and a camera coaxial with Risley prisms located in the center. By the non-uniform imaging, the field of view of the developed prototype is 150×40 with a reduction of data redundancy by 87.62%.
View Article and Find Full Text PDFPhase transitions on non-uniformly curved surfaces: coupling between phase and location.
Soft Matter
September 2020
Department of Physics, Durham University, South Road, Durham DH1 3LE, UK.
For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a combination of bespoke Monte Carlo, molecular dynamics and basin-hopping methods, we show that the stable states of attractive colloids confined to non-uniformly curved surfaces are distinguished not only by the phase of matter but also by their location on the surface.
View Article and Find Full Text PDFDimerization and structure formation of colloids via capillarity at curved fluid interfaces.
Soft Matter
July 2020
Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA.
Capillary interactions are ubiquitous between colloids trapped at fluid interfaces. Generally, colloids in fluid interfaces have pinned, undulated contact lines that distort the interface around them. To minimize the area, and therefore the energy of these distortions, colloids interact and assemble in a manner that depends on the shape of the host interface.
View Article and Find Full Text PDFEstimating the intrinsic dimension of datasets by a minimal neighborhood information.
Sci Rep
September 2017
SISSA International School for Advanced studies, department of Molecular and Statistical Biophysics, Trieste, 34136, Italy.
Analyzing large volumes of high-dimensional data is an issue of fundamental importance in data science, molecular simulations and beyond. Several approaches work on the assumption that the important content of a dataset belongs to a manifold whose Intrinsic Dimension (ID) is much lower than the crude large number of coordinates. Such manifold is generally twisted and curved; in addition points on it will be non-uniformly distributed: two factors that make the identification of the ID and its exploitation really hard.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!