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We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally…

Soft Condensed Matter · Physics 2008-05-09 Carolina Brito , Matthieu Wyart

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

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

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

We study theoretically and numerically the microscopic cause of the mechanical stability of hard sphere glasses near their maximum packing. We show that, after coarse-graining over time, the hard sphere interaction can be described by an…

Soft Condensed Matter · Physics 2007-05-23 Carolina Brito , Matthieu Wyart

We study theoretically and numerically the elastic properties of hard sphere glasses, and provide a real-space description of their mechanical stability. In contrast to repulsive particles at zero-temperature, we argue that the presence of…

Soft Condensed Matter · Physics 2015-06-18 E. DeGiuli , E. Lerner , C. Brito , M. Wyart

Elastic models of the glass transition relate the relaxation dynamics and the elastic properties of structural glasses. They are based on the assumption that the relaxation dynamics occurs through activated events in the energy landscape…

Soft Condensed Matter · Physics 2015-08-20 M. Pica Ciamarra , Peter Sollich

Glasses are amorphous solids whose constituent particles are caged by their neighbors and thus cannot flow. This sluggishness is often ascribed to the free energy landscape containing multiple minima (basins) separated by high barriers.…

Disordered Systems and Neural Networks · Physics 2014-04-29 Patrick Charbonneau , Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We study the solid-to-liquid transition in a two-dimensional fully periodic soft-glassy model with an imposed spatially heterogeneous stress. The model we consider consists of droplets of a dispersed phase jammed together in a continuous…

Soft Condensed Matter · Physics 2018-06-06 Matteo Lulli , Roberto Benzi , Mauro Sbragaglia

We use computer simulations to study the glass transition of dense fluids made of polydisperse, repulsive spheres. For hard particles, we vary the volume fraction, phi, and use compressible particles to explore finite temperatures, T>0. In…

Statistical Mechanics · Physics 2009-08-25 Ludovic Berthier , Thomas A. Witten

Swap algorithms can shift the glass transition to lower temperatures, a recent unexplained observation constraining the nature of this phenomenon. Here we show that swap dynamic is governed by an effective potential describing both particle…

Soft Condensed Matter · Physics 2018-09-12 Carolina Brito , Edan Lerner , Matthieu Wyart

We present the study of the landscape structure of athermal soft spheres both as a function of the packing fraction and of the energy. We find that, on approaching the jamming transition, the number of different configurations available to…

Statistical Mechanics · Physics 2020-05-20 Claudia Artiaco , Paolo Baldan , Giorgio Parisi

We explore the link between soft vibrational modes and local relaxation events in polymer glasses during physical aging, active deformation at constant strain rate, and subsequent recovery. A softness field is constructed out of the…

Soft Condensed Matter · Physics 2015-11-18 Anton Smessaert , Joerg Rottler

We propose a connection between self-similar, focusing dynamics in nonlinear partial differential equations (PDEs) and macroscopic dynamic features of the glass transition. In particular, we explore the divergence of the appropriate…

Condensed Matter · Physics 2015-06-24 P. G. Kevrekidis , S. K. Kumar , I. G. Kevrekidis

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of…

Statistical Mechanics · Physics 2010-03-29 Ludovic Berthier , Elijah Flenner , Hugo Jacquin , Grzegorz Szamel

Recent theoretical advances have led to the creation of a unified phase diagram for the thermal glass and athermal jamming transitions. This diagram makes clear that, while related, the mode-coupling---or dynamic---glass transition is…

Soft Condensed Matter · Physics 2017-09-20 Peter Morse , Eric Corwin

We show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by…

Soft Condensed Matter · Physics 2009-12-17 Ning Xu , Thomas K. Haxton , Andrea J. Liu , Sidney R. Nagel

We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a…

Soft Condensed Matter · Physics 2017-11-27 Ning Xu , Andrea J. Liu , Sidney R. Nagel

For amorphous solids, it has been intensely debated whether the traditional view on solids, in terms of the ground state and harmonic low energy excitations on top of it, such as phonons, is still valid. Recent theoretical developments of…

Soft Condensed Matter · Physics 2017-04-26 Yuliang Jin , Hajime Yoshino
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