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We derive expressions for the critical density for jamming in a hyper-rhomboid system of arbitrary shape in any dimension for the Kob-Andersen and Fredrickson-Andersen kinetically-constrained models. We find that changing the system's shape…

Statistical Mechanics · Physics 2014-05-02 Eial Teomy , Yair Shokef

By means of contact dynamics simulations, we investigate a dense packing composed of polyhedral particles under quasistatic shearing. The effect of particle shape is analyzed by comparing the polyhedra packing with a packing of similar…

Classical Physics · Physics 2011-07-12 Émilien Azema , F. RadjaÏ , G. Saussine

Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Simon Dagois-Bohy , Brian P. Tighe , Martin van Hecke , Andrea J. Liu , Sidney R. Nagel

Connecting the collective behavior of disordered systems with local structure on the particle scale is an important challenge, for example in granular and glassy systems. Compounding complexity, in many scientific and industrial…

Soft Condensed Matter · Physics 2016-11-21 Fabian M. Schaller , Robert F. B. Weigel , Sebastian C. Kapfer

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

We revisit the densest binary sphere packings (DBSP) under the periodic boundary conditions and present an updated phase diagram, including newly found 12 putative densest structures over the $x - \alpha$ plane, where $x$ is the relative…

Materials Science · Physics 2021-02-24 Ryotaro Koshoji , Mitsuaki Kawamura , Masahiro Fukuda , Taisuke Ozaki

The phase behavior and structural properties of hard anisotropic particles (prisms and dumbbells) are examined in one-dimensional channels using the Parsons--Lee (PL) theory, and the transfer-matrix and neighbor-distribution methods. The…

Soft Condensed Matter · Physics 2023-10-24 Ana M. Montero , Andrés Santos , Péter Gurin , Szabolcs Varga

We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used to study various properties of such packings built of a wide variety of different shapes and in…

Statistical Mechanics · Physics 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek

We present a numerical analysis of the effect of particle elongation on the quasistatic behavior of sheared granular media by means of the Contact Dynamics method. The particle shapes are rounded-cap rectangles characterized by their…

Soft Condensed Matter · Physics 2011-07-12 Émilien Azema , Farhang Radjaï

We present a comprehensive series of dissipationless N-body simulations to investigate the evolution of density distribution in equal-mass mergers between dark matter (DM) halos and multicomponent galaxies. The DM halo models are…

Astrophysics · Physics 2009-11-13 Stelios Kazantzidis , Andrew R. Zentner , Andrey V. Kravtsov

The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song \emph{et al.}, Nature (London) {\bf 453}, 629 (2008)] is generalized to arbitrary dimension $d$ using a liquid-state description. The…

Statistical Mechanics · Physics 2010-11-29 Yuliang Jin , Patrick Charbonneau , Sam Meyer , Chaoming Song , Francesco Zamponi

We study the influence of structural obstacles in a disordered environment on the size and shape characteristics of long flexible polymer macromolecules. We use the model of self-avoiding random walks on diluted regular lattices at the…

Soft Condensed Matter · Physics 2010-11-22 Viktoria Blavatska , Wolfhard Janke

Disordered jammed packings under confinement have received considerably less attention than their \textit{bulk} counterparts and yet arise in a variety of practical situations. In this work, we study binary sphere packings that are confined…

Statistical Mechanics · Physics 2015-12-31 Duyu Chen , Salvatore Torquato

We study the approach to jamming in hard-sphere packings, and, in particular, the pair correlation function $g_{2}(r)$ around contact, both theoretically and computationally. Our computational data unambiguously separates the narrowing…

Statistical Mechanics · Physics 2009-11-10 A. Donev , S. Torquato , F. H. Stillinger

We investigate the problem of packing identical hard objects on regular lattices in d dimensions. Restricting configuration space to parallel alignment of the objects, we study the densest packing at a given aspect ratio X. For rectangles…

Statistical Mechanics · Physics 2011-11-28 Tadeus Ras , Rolf Schilling , Martin Weigel

The densest local packings of N identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained using a nonlinear programming method operating in conjunction with a stochastic search of…

Statistical Mechanics · Physics 2015-05-18 A. B. Hopkins , F. H. Stillinger , S. Torquato

We carry out numerical simulations of soft, U-shaped, frictionless particles in $d=2$ dimensions in order to explore the effects of complex particle shape on the jamming transition. We consider both cases of uniform compression-driven and…

Soft Condensed Matter · Physics 2015-03-18 Theodore Marschall , Scott V. Franklin , S. Teitel

A collection of thin structures buckle, bend, and bump into each-other when confined. This contact can lead to the formation of patterns: hair will self-organize in curls; DNA strands will layer into cell nuclei; paper, when crumpled, will…

Soft Condensed Matter · Physics 2023-04-19 Arman Guerra , Anja Slim , Douglas P. Holmes , Ousmane Kodio

Dense polyhedron packings are useful models of a variety of condensed matter and biological systems and have intrigued scientists mathematicians for centuries. Recently, organizing principles for the types of structures associated with the…

Soft Condensed Matter · Physics 2011-09-28 Yang Jiao , Sal Torquato

Based on density-functional theory we analyze the full phase diagram, the occurrence of long-ranged orientational order, and the structural properties of dipolar fluids. As a model system we consider the Stockmayer fluid that consists of…

Soft Condensed Matter · Physics 2009-09-25 B. Groh , S. Dietrich