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For hard ellipsoids of revolution we calculate the phase diagram for the idealized glass transition. Our equations cover the glass physics in the full phase space, for all packing fractions and all aspect ratios X$_0$. With increasing…

Soft Condensed Matter · Physics 2009-10-31 M. Letz , R. Schilling , A. Latz

In the present work, crystallization in melts and poor-solvent solutions of semiflexible polymers with different concentration was studied by means of dissipative particle dynamics simulation technique. We use a coarse-grained polymer model…

Chemical Physics · Physics 2020-01-30 P. I. Kos , V. A. Ivanov , A. V. Chertovich

We present a computer simulation study on the crystalline phases of hard ellipsoids of revolution. For aspect ratios greater than or equal to 3 the previously suggested stretched-fcc phase [D. Frenkel and B. M. Mulder, Mol. Phys. 55, 1171…

Soft Condensed Matter · Physics 2007-05-23 Patrick Pfleiderer , Tanja Schilling

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 present an experiment on crystallization of packings of macroscopic granular spheres. This system is often considered to be a model for thermally driven atomic or colloidal systems. Cyclically shearing a packing of frictional spheres, we…

Soft Condensed Matter · Physics 2018-02-07 Frank Rietz , Charles Radin , Harry L. Swinney , Matthias Schröter

When are athermal soft sphere packings jammed ? Any experimentally relevant definition must at the very least require a jammed packing to resist shear. We demonstrate that widely used (numerical) protocols in which particles are compressed…

Soft Condensed Matter · Physics 2013-02-06 S. Dagois-Bohy , B. P. Tighe , J. Simon , S. Henkes , M. van Hecke

Complex structures can only form in a universe that allows for bound states. While this is clearly observed in three-dimensions, added degrees of freedom in a higher-dimensional space preclude the immediate assumption that binding…

We use molecular dynamics to investigate the glass transition occurring at large volume fraction, phi, and low temperature, T, in assemblies of soft repulsive particles. We find that equilibrium dynamics in the (phi, T) plane obey a form of…

Statistical Mechanics · Physics 2009-04-10 Ludovic Berthier , Thomas A. Witten

Crystallization within the discrete spheres of a block copolymer mesophase was studied by time-resolved x-ray scattering. The cubic packing of microdomains, established by self-assembly in the melt, is preserved throughout crystallization…

Soft Condensed Matter · Physics 2009-10-31 Yueh-Lin Loo , Richard A. Register , Anthony J. Ryan

We present exact results for the density profile of the one dimensional array of N hard spheres of diameter D and mass m under gravity g. For a strictly one dimensional system, the liquid-solid transition occurs at zero temperature, because…

Statistical Mechanics · Physics 2009-10-31 Daniel C. Hong

Hard spheres are an important benchmark of our understanding of natural and synthetic systems. In this work, colloidal experiments and Monte Carlo simulations examine the equilibrium and out-of-equilibrium assembly of hard spheres of…

Soft Condensed Matter · Physics 2022-05-03 Lin Fu , Ce Bian , C. Wyatt Shields , Daniela F. Cruz , Gabriel P. López , Patrick Charbonneau

Dense hard-particle packings are intimately related to the structure of low-temperature phases of matter and are useful models of heterogeneous materials and granular media. Most studies of the densest packings in three dimensions have…

Soft Condensed Matter · Physics 2015-05-13 Yang Jiao , Frank Stillinger , Sal Torquato

Slow dynamics in a fluid are studied in one of the most basic systems possible: polydisperse hard spheres. Monodisperse hard spheres cannot be studied as the slow down in dynamics as the density is increased is preempted by crystallisation.…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

Using large-scale molecular dynamics simulations for a system of $10^6$ particles, the response of a dense amorphous solid to the continuous expansion of its volume is investigated. We find that the spatially uniform glassy state becomes…

Statistical Mechanics · Physics 2016-10-12 Pinaki Chaudhuri , Jürgen Horbach

Questions surrounding the spatial disposition of particles in various condensed-matter systems continue to pose many theoretical challenges. This paper explores the geometric availability of amorphous many-particle configurations that…

Statistical Mechanics · Physics 2007-05-23 S. Torquato , F. H. Stillinger

A crystal plasticity theory was developed for use in simulations of dynamic loading at high pressures and strain rates. At pressures of the order of the bulk modulus, compressions o(100%) may be induced. At strain rates o(10^9)/s or higher,…

Materials Science · Physics 2008-04-10 Damian C. Swift , Eric N. Loomis , Pedro Peralta , Bassem El-Dasher

We apply a recent one-dimensional algorithm for predicting random close packing fractions of polydisperse hard spheres [Farr and Groot, J. Chem. Phys. 133, 244104 (2009)] to the case of lognormal distributions of sphere sizes and mixtures…

Materials Science · Physics 2013-06-07 Robert S. Farr

We generate non-lattice packings of spheres in up to 22 dimensions using the geometrical constraint satisfaction algorithm RRR. Our aggregated data suggest that it is easy to double the density of Ball's lower bound, and more tentatively,…

Metric Geometry · Mathematics 2023-07-12 Veit Elser

Nucleation is an activated process in which the system has to overcome a free energy barrier in order for a first-order phase transition between the metastable and the stable phases to take place. In the liquid-to-solid transition the…

Soft Condensed Matter · Physics 2016-11-28 John Russo , Hajime Tanaka

Spherical particles confined to a sphere surface cannot pack densely into a hexagonal lattice without defects. In this study, we use hard particle Monte Carlo simulations to determine the effects of continuously deformable shape anisotropy…

Soft Condensed Matter · Physics 2026-01-01 Gabrielle N. Jones , Philipp W. A. Schönhöfer , Sharon C. Glotzer
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