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The structural properties of static, jammed packings of monodisperse spheres in the vicinity of the jamming transition are investigated using large-scale computer simulations. At small wavenumber $k$, we argue that the anomalous behavior in…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert , Moises Silbert

The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling process terminates at a glassy phase with…

Statistical Mechanics · Physics 2009-10-31 E. Eisenberg , A. Baram

We develop a simple coarse-grained bead-spring polymer model exhibiting competing crystallization and glass transitions. For quench rates slower than the critical nucleation rate $|\dot{T}|_{crit}$, systems exhibit a first-order…

Soft Condensed Matter · Physics 2013-03-25 Robert S. Hoy , Nikos Ch. Karayiannis

We investigate the response of a system of hard spheres to two classes of perturbations over a range of densities spanning the fluid, crystalline, and glassy regimes within a molecular dynamics framework. Firstly, we consider the relaxation…

Statistical Mechanics · Physics 2025-09-04 Matthew Kafker , Xerxes D. Arsiwalla

As a function of packing fraction at zero temperature and applied stress, an amorphous packing of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even in the thermodynamic limit. Upon further…

Soft Condensed Matter · Physics 2013-11-25 Samuel S. Schoenholz , Carl P. Goodrich , Oleg Kogan , Andrea J. Liu , Sidney R. Nagel

Via molecular dynamics simulations, we unveil the hysteretic nature of the jamming transition of soft repulsive frictionless spheres, as it occurs varying the volume fraction or the shear stress. In a given range of control parameters the…

Soft Condensed Matter · Physics 2015-05-13 Massimo Pica Ciamarra , Antonio Coniglio

Jamming is an athermal transition between flowing and rigid states in amorphous systems such as granular matter, colloidal suspensions, complex fluids and cells. The jamming transition seems to display mixed aspects of a first-order…

Soft Condensed Matter · Physics 2024-11-04 Yue Deng , Deng Pan , Yuliang Jin

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

Recent works on hard spheres in the limit of infinite dimensions revealed that glass states, envisioned as meta-basins in configuration space, can break up in a multitude of separate basins at low enough temperature or high enough pressure,…

Disordered Systems and Neural Networks · Physics 2015-06-23 Pierfrancesco Urbani , Giulio Biroli

In this paper we propose a simple mean-field "toy" model for the liquid-glass phase transition. This is the system of $N$ point-like particles confined in a finite volume of a $D$-dimensional space interacting via infinite-range oscillating…

Disordered Systems and Neural Networks · Physics 2007-05-23 Victor Dotsenko

We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory (MCT) at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement…

Soft Condensed Matter · Physics 2013-03-14 Saroj Kumar Nandi , Sarika Maitra Bhattacharyya , Sriram Ramaswamy

The fact that a disordered material is not constrained in its properties in the same way as a crystal presents significant and yet largely untapped potential for novel material design. However, unlike their crystalline counterparts,…

Soft Condensed Matter · Physics 2015-10-30 Carl P. Goodrich

The dynamics of a system composed of inelastic hard spheres or disks that are confined between two parallel vertically vibrating walls is studied (the vertical direction is defined as the direction perpendicular to the walls). The distance…

Soft Condensed Matter · Physics 2024-11-06 M. Mayo , J. C. Petit , M. I. García de Soria , P. Maynar

We investigate the statistical mechanics of glass-forming materials and jamming matter by means of a geometrically driven approach based on a revised cell theory. By considering the system as constituted of jammed blocks of increasing…

Statistical Mechanics · Physics 2015-05-22 Antonio Coniglio , Tomaso Aste

We develop a real space renormalisation group analysis of disordered models of glasses, in particular of the spin models at the origin of the Random First Order Transition theory. We find three fixed points respectively associated to the…

Disordered Systems and Neural Networks · Physics 2017-07-05 Maria Chiara Angelini , Giulio Biroli

We study the statistical mechanics and the equilibrium dynamics of a system of classical Heisenberg spins with frustrated interactions on a $d$-dimensional simple hypercubic lattice, in the limit of infinite dimensionality $d \to \infty$.…

Disordered Systems and Neural Networks · Physics 2024-04-25 Achille Mauri , Mikhail I. Katsnelson

Computer simulations are used to study a three-dimensional polydisperse model glassformer in a replica-coupling setup where an attractive field $\propto - \varepsilon Q$ of strength $\varepsilon$ can adjust the similarity of the system to a…

Soft Condensed Matter · Physics 2024-02-07 Niklas Küchler , Jürgen Horbach

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…

Condensed Matter · Physics 2016-08-31 Joonhyun Yeo

Disks moving in a narrow channel have many features in common with the glassy behavior of hard spheres in three dimensions. In this paper we study the caging behavior of the disks which sets in at characteristic packing fraction $\phi_d$.…

Disordered Systems and Neural Networks · Physics 2016-03-09 J. F. Robinson , M. J. Godfrey , M. A. Moore

A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta , Shin-ichi Sasa