منابع مشابه
Wrinkling crystallography on spherical surfaces.
We present the results of an experimental investigation on the crystallography of the dimpled patterns obtained through wrinkling of a curved elastic system. Our macroscopic samples comprise a thin hemispherical shell bound to an equally curved compliant substrate. Under compression, a crystalline pattern of dimples self-organizes on the surface of the shell. Stresses are relaxed by both out-of...
متن کاملQuasisymmetric structures on surfaces
We show that a locally Ahlfors 2-regular and locally linearly locally contractible metric surface is locally quasisymmetrically equivalent to the disk. We also discuss an application of this result to the problem of characterizing surfaces embedded in some Euclidean space that are locally bi-Lipschitz equivalent to a ball in the plane. In memoriam: Juha Heinonen (1960 2007)
متن کاملTwo-dimensional Crystallisation on Spherical Surfaces
We report results of a computational study on 2D crystallisation for a 25-particle Lennard-Jones system on a spherical surface, as a function of radius. The energy is minimised using simulated annealing and steepest descent methods. Different crystalline arrangements with clear energy minima are found at different radii. Qualitatively, most of the observed phenomena are representative also for ...
متن کاملGrowing an actin gel on spherical surfaces.
Inspired by the motility of the bacteria Listeria monocytogenes, we have experimentally studied the growth of an actin gel around spherical beads grafted with ActA, a protein known to be the promoter of bacteria movement. On ActA-grafted beads F-actin is formed in a spherical manner, whereas on the bacteria a "comet-like" tail of F-actin is produced. We show experimentally that the stationary t...
متن کاملClose packing of rods on spherical surfaces.
We study the optimal packing of short, hard spherocylinders confined to lie tangential to a spherical surface, using simulated annealing and molecular dynamics simulations. For clusters of up to twelve particles, we map out the changes in the geometry of the closest-packed configuration as a function of the aspect ratio L/D, where L is the cylinder length and D the diameter of the rods. We find...
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ژورنال
عنوان ژورنال: Journal of the Nigerian Mathematical Society
سال: 2015
ISSN: 0189-8965
DOI: 10.1016/j.jnnms.2014.12.002