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We study properties of jammed packings of frictionless spheres over a wide range of volume fractions. There exists a crossover volume fraction which separates deeply jammed solids from marginally jammed solids. In deeply jammed solids, all…

软凝聚态物质 · 物理学 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

The reformulation of the mode-coupling theory (MCT) of the liquid-glass transition which incorporates the element of metastability is applied to the hard-sphere system. It is shown that the glass transition in this system is not a sharp one…

凝聚态物理 · 物理学 2016-08-31 Joonhyun Yeo

We propose a multiconfigurational hybrid density-functional theory which rigorously combines a multiconfiguration self-consistent-field calculation with a density-functional approximation based on a linear decomposition of the…

化学物理 · 物理学 2012-08-20 Kamal Sharkas , Andreas Savin , Hans Jørgen Aa. Jensen , Julien Toulouse

Randomly packing spheres of equal size into a container consistently results in a static configuration with a density of ~64%. The ubiquity of random close packing (RCP) rather than the optimal crystalline array at 74% begs the question of…

软凝聚态物质 · 物理学 2016-03-29 Yuliang Jin , Hernan A. Makse

In this work we present a numerical study, based on molecular dynamics simulations, to estimate the freezing point of hard spheres and hypersphere systems in dimension D = 4, 5, 6 and 7. We have studied the changes of the Radial…

软凝聚态物质 · 物理学 2015-03-13 C. D. Estrada , M. Robles

All hard, convex shapes are conjectured by Ulam to pack more densely than spheres, which have a maximum packing fraction of {\phi} = {\pi}/\sqrt18 ~ 0.7405. For many shapes, simple lattice packings easily surpass this packing fraction. For…

Using computer simulations, we studied the diffusion and structural relaxation in equilibrium smectic liquid crystal bulk phases of parallel hard spherocylinders. These systems exhibit a non-Gaussian layer-to-layer diffusion due to the…

软凝聚态物质 · 物理学 2010-02-17 Rik Matena , Marjolein Dijkstra , Alessandro Patti

We numerically produce fully amorphous assemblies of frictionless spheres in three dimensions and study the jamming transition these packings undergo at large volume fractions. We specify four protocols yielding a critical value for the…

统计力学 · 物理学 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry

Systems of hard nonspherical particles exhibit a variety of stable phases with different degrees of translational and orientational order, including isotropic liquid, solid crystal, rotator and a variety of liquid crystal phases. In this…

软凝聚态物质 · 物理学 2014-07-23 Duyu Chen , Yang Jiao , Salvatore Torquato

We propose a density functional for anisotropic fluids of hard body particles. It interpolates between the well-established geometrically based Rosenfeld functional for hard spheres and the Onsager functional for elongated rods. We test the…

材料科学 · 物理学 2009-11-07 Giorgio Cinacchi , Friederike Schmid

We examine the phase behavior of a quasi-one-dimensional system of hard squares with side-length $\sigma$, where the particles are confined between two parallel walls and only nearest neighbor interactions occur. As in our previous work…

统计力学 · 物理学 2017-05-03 Peter Gurin , Gerardo Odriozola , Szabolcs Varga

We propose a procedure - partly analytical and partly numerical - to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The…

流体动力学 · 物理学 2014-04-03 Marco Martins Afonso , Simon Mendez , Franck Nicoud

We use an exact transfer-matrix approach to compute the equilibrium properties of a system of hard disks of diameter $\sigma$ confined to a two-dimensional channel of width $1.95\,\sigma$ at constant longitudinal applied force. At this…

无序系统与神经网络 · 物理学 2015-02-19 M. J. Godfrey , M. A. Moore

We investigate the phase behavior of a single-component system in 3 dimensions with spherically-symmetric, pairwise-additive, soft-core interactions with an attractive well at a long distance, a repulsive soft-core shoulder at an…

软凝聚态物质 · 物理学 2009-11-07 G. Franzese , G. Malescio , A. Skibinsky , S. V. Buldyrev , H. E. Stanley

In this article we obtain a fundamental measure functional for the model of aligned hard hexagons in the plane. Our aim is not just to provide a functional for a new, admittedly academic, model, but to investigate the structure of…

软凝聚态物质 · 物理学 2007-11-26 Jose A. Capitan , Jose A. Cuesta

We demonstrate that there is no ideal glass transition in a binary hard-disk mixture by explicitly constructing an exponential number of jammed packings with densities spanning the spectrum from the accepted ``amorphous'' glassy state to…

统计力学 · 物理学 2009-11-11 A. Donev , F. H. Stillinger , S. Torquato

Molecular dynamics computer simulations of collective excitations in a system of hard disks confined to a narrow channel of the specific width, that resembles 2D triangular lattice at disk close packing, are performed. We found that…

软凝聚态物质 · 物理学 2020-09-09 Adrian Huerta , Taras Bryk , Andrij Trokhymchuk

Computer simulations were used to study the gel transition occurring in colloidal systems with short range attractions. A colloid-polymer mixture was modelled and the results were compared with mode coupling theory expectations and with the…

软凝聚态物质 · 物理学 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

The relation between dynamics and structure in systems of Brownian bidisperse 2D hard disks with arrested dynamics is examined using numerical simulations. Surprisingly, the suspensions show dynamic arrest at an area fraction of {\phi}…

软凝聚态物质 · 物理学 2026-01-05 Joost de Graaf

Classical hard spheres crystallize at equilibrium at high enough density. Crystals made up of stackings of 2-dimensional hexagonal close-packed layers (e.g. fcc, hcp, etc.) differ in entropy by only about $10^{-3}k_B$ per sphere (all…

统计力学 · 物理学 2009-10-31 Siun-Chuon Mau , David A. Huse