Results 1 to 10 of about 19,453 (266)
A colloidal viewpoint on the sausage catastrophe and the finite sphere packing problem [PDF]
Nature Communications, 2023 It is commonly believed that the most efficient way to pack a finite number of equal-sized spheres is by arranging them tightly in a cluster. However, mathematicians have conjectured that a linear arrangement may actually result in the densest packing ...
Susana Marín-Aguilar +5 more
doaj +2 more sources
Sphere packing and quantum gravity [PDF]
Journal of High Energy Physics, 2019 We establish a precise relation between the modular bootstrap, used to con- strain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular bootstrap bound for chiral algebra U(1) c maps exactly to the Cohn-Elkies linear
Thomas Hartman +2 more
doaj +4 more sources
Controlling the size of nanoparticles using a magnetic field: a sphere packing approach [PDF]
Scientific ReportsWe present an analytical framework that predicts and controls nanoparticle size through external magnetic fields, uniting first-principles thermodynamics with a sphere packing approach.
Yazeed Tawalbeh +2 more
doaj +2 more sources
An average model for disordered sphere packings [PDF]
EPJ Web of Conferences, 2021 In this paper, an assembly of disordered packings is considered as a suitable set of packing cells of ordered spheres. In consequence, any of its parameters can be obtained by averaging the values of the set.
Yanqui Calixtro
doaj +1 more source
Quasi-Packing Different Spheres with Ratio Conditions in a Spherical Container
Mathematics, 2023 This paper considers the optimized packing of different spheres into a given spherical container under non-standard placement conditions. A sphere is considered placed in the container if at least a certain part of the sphere is in the container. Spheres
Andreas Fischer +4 more
doaj +1 more source
A sphere packing model for shear bands in dense soils [PDF]
EPJ Web of Conferences, 2021 The rhombic sphere packing can be used to model the biaxial test on granular soils in a very simple way. According to the angle of assemblage, the packing is dilatant or contractive.
Yanqui Calixtro
doaj +1 more source
Finite Packings of Spheres [PDF]
Discrete & Computational Geometry, 1998 A finite set \(C\) in the \(d\)-dimensional Euclidean space \({\mathbf E}^d\) is called a finite sphere packing if for every \(x,y \in C\) we have \(| x-y| \geq 2\). The density of \(C\) is defined by \[ \delta(C)=\frac{| C| k_d}{V( \text{conv}(C)+B^d)}, \] where \(B^d\) is the \(d\)-dimensional unit ball, \(V(P)\) is the volume of \(P\), and \(k_d=V(B^
Ulrich Betke, Martin Henk
openaire +1 more source
Methodology to Solve Multi-Dimentional Sphere Packing Problems [PDF]
Journal of Mechanical Engineering, 2019 This paper discusses the problem of optimally packing spheres of various dimensions into containers of arbitrary geometrical shapes. According to the international classification, this problem belongs to Sphere Packing Problems (SPPs).
Georgiy N. Yaskov
doaj +1 more source
Convex Maximization Formulation of General Sphere Packing Problem
Известия Иркутского государственного университета: Серия "Математика", 2020 We consider a general sphere packing problem which is to pack nonoverlapping spheres (balls) with the maximum volume into a convex set. This problem has important applications in science and technology.
R. Enkhbat
doaj +1 more source
Packings of deformable spheres [PDF]
Physical Review E, 2011 We present an experimental study of disordered packings of deformable spheres. Fluorescent hydrogel spheres immersed in water together with a tomography technique enabled the imaging of the three-dimensional arrangement. The mechanical behavior of single spheres subjected to compression is first examined. Then the properties of packings of a randomized
Mukhopadhyay, Shomeek, Peixinho, Jorge
openaire +2 more sources