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Self-assembly of granular particles is of great interest in both applied and basic research. It is commonly observed that when randomly packed into a container, granular particles form disordered structures like glass. As the particles are…

Soft Condensed Matter · Physics 2025-01-20 Reza Amirifar , Kejun Dong , Aibing Yu

We examine packing of $n$ congruent spheres in a cube when $n$ is close but less than the number of spheres in a regular cubic close-packed (ccp) arrangement of $\lceil p^{3}/2\rceil$ spheres. For this family of packings, the previous…

Computational Geometry · Computer Science 2015-03-30 Milos Tatarevic

We study random sequential adsorption (RSA) of a class of solids that can be obtained from a cube by specific cutting of its vertices, in order to find out how the transition from tetrahedral to octahedral symmetry affects the densities of…

Materials Science · Physics 2019-11-22 Piotr Kubala , Michał Cieśla , Robert M. Ziff

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

The aim of this paper is to review and discuss qualitatively some results on the properties of amorphous packings of hard spheres that were recently obtained by means of the replica method. The theory gives predictions for the equation of…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

We investigate the ground state of a classical two-dimensional system of hard-sphere dipoles confined between two hard walls. Using lattice sum minimization techniques we reveal that at fixed wall separations, a first-order transition from…

Soft Condensed Matter · Physics 2018-05-23 Florian Deißenbeck , Hartmut Löwen , Erdal C. Oğuz

We study numerically the crystallization of a hard-sphere mixture with 8\% polydispersity. Although often used as a model glass former, for small system sizes we observe crystallization in molecular dynamics simulations. This opens the…

Soft Condensed Matter · Physics 2016-09-05 Matteo Campo , Thomas Speck

Creating materials with structure that is independently controllable at a range of scales requires breaking naturally occurring hierarchies. Breaking these hierarchies can be achieved via the decoupling of building block attributes from…

Soft Condensed Matter · Physics 2022-07-04 Lucia Baldauf , Erin G. Teich , Peter Schall , Greg van Anders , Laura Rossi

We use numerical simulations to show how noninteracting hard particles binding to a deformable elastic shell may self-assemble into a variety of linear patterns. This is a result of the nontrivial elastic response to deformations of shells.…

Soft Condensed Matter · Physics 2011-02-25 Andela Šarić , Angelo Cacciuto

A collection of spherical particles can be packed tightly together into an amorphous packing known as "random close packing" (RCP). This structure is of interest as a model for the arrangement of molecules in simple liquids and glasses, as…

Soft Condensed Matter · Physics 2015-03-13 Rei Kurita , Eric R Weeks

Via large-scale molecular dynamics simulations, we observe the melting of a topological glass of stiff ring polymers by incorporating flexible ring polymers, along an isobaric path. As more flexible ring polymers are introduced, cluster…

Soft Condensed Matter · Physics 2023-05-19 Projesh Kumar Roy , Pinaki Chaudhuri , Satyavani Vemparala

Though it is generally assumed that massive molecular clouds are the progenitors of globular clusters, their detailed formation mechanism is still unclear. Standard scenarios based on the collapse of a smooth matter distribution suffer from…

Astrophysics · Physics 2007-05-23 Christian Theis

Bead packs of up to 150,000 mono-sized spheres with packing densities ranging from 0.58 to 0.64 have been studied by means of X-ray Computed Tomography. These studies represent the largest and the most accurate description of the structure…

Disordered Systems and Neural Networks · Physics 2007-09-19 T. Aste , M. Saadatfar , A. Sakellariou , T. J. Senden

An increasing variety of crystal structures has been observed in soft condensed matter over the past two decades, surpassing most expectations for the diversity of arrangements accessible through classical driving forces. Here, we survey…

Soft Condensed Matter · Physics 2022-03-01 Julia Dshemuchadse

Block copolymer melts self-assemble in the bulk into a variety of nanostructures, making them perfect candidates to template the position of nanoparticles. The morphological changes of block copolymers are studied in the presence of a…

Soft Condensed Matter · Physics 2019-10-31 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga

We construct the densest known two-dimensional packings of superdisks in the plane whose shapes are defined by |x^(2p) + y^(2p)| <= 1, which contains both convex-shaped particles (p > 0.5, with the circular-disk case p = 1) and…

Soft Condensed Matter · Physics 2009-11-13 Y. Jiao , F. H. Stillinger , S. Torquato

We study the phase behaviour of a binary mixture of colloidal hard spheres and freely-jointed chains of beads using Monte Carlo simulations. Recently Panagiotopoulos and coworkers predicted [Nat. Commun. 5, 4472 (2014)] that the hexagonal…

Soft Condensed Matter · Physics 2016-08-24 John R Edison , Tonnishtha Dasgupta , Marjolein Dijkstra

We present the densest known packing of regular tetrahedra with density phi = 4000/4671 = 0.856347... Like the recently discovered packings of Kallus et al. [arXiv:0910.5226] and Torquato-Jiao [arXiv:0912.4210], our packing is crystalline…

Statistical Mechanics · Physics 2010-07-27 Elizabeth R. Chen , Michael Engel , Sharon C. Glotzer

The settling of heavy spherical particles in a column of quiescent fluid is investigated. The performed experiments cover a range of Galileo numbers ($110 \leq \text{Ga} \leq 310$) for a fixed density ratio of $\Gamma = \rho_p/\rho_f =…