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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

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

Numerical simulations of soft-core frictionless disks in two dimensions are carried out to study behavior of a simple liquid as a function of thermal temperature $T$, packing fraction $\phi$, and uniform applied shear strain rate…

Soft Condensed Matter · Physics 2013-11-21 Peter Olsson , S. Teitel

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

Materials Science · Physics 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

A theory for the microscopic structure and the vibrational properties of soft sphere glass at finite temperature is presented. With an effective potential, derived here, the phase diagram and vibrational properties are worked out around the…

Soft Condensed Matter · Physics 2016-04-13 E. DeGiuli , E. Lerner , M. Wyart

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 study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

Disordered Systems and Neural Networks · Physics 2013-07-16 Hugo Jacquin

We conduct athermal simulations of freely-cooling, viscous soft spheres around the jamming transition density \phi_{J}, and find evidence for a growing length \xi(t) that governs relaxation to mechanical equilibrium. \xi(t) is manifest in…

Soft Condensed Matter · Physics 2009-11-13 D. A. Head

We study the equilibrium thermodynamics of quantum hard spheres in the infinite-dimensional limit, determining the boundary between liquid and glass phases in the temperature-density plane by means of the Franz-Parisi potential. We find…

Statistical Mechanics · Physics 2023-11-10 Michael Winer , Christopher L. Baldwin , Richard Barney , Victor Galitski , Brian Swingle

While the glass transition at non-zero temperature seems to be hard to access for experimental, theoretical, or simulation studies, jamming at zero temperature has been explored in great detail. It is a widely discussed question whether…

Soft Condensed Matter · Physics 2018-01-31 Moumita Maiti , Michael Schmiedeberg

The glassy dynamics of soft harmonic spheres is often mapped onto the dynamics of hard spheres by considering an effective diameter for the soft particles and therefore an effective packing fraction. While in this approach the thermal…

Soft Condensed Matter · Physics 2019-02-25 Moumita Maiti , Michael Schmiedeberg

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

Disordered Systems and Neural Networks · Physics 2007-08-08 Carolina Brito , Matthieu Wyart

Recent studies show that volume fractions $\phiJ$ at the jamming transition of frictionless hard spheres and discs are not uniquely determined but exist over a continuous range. Motivated by this observation, we numerically investigate…

Soft Condensed Matter · Physics 2012-11-20 Misaki Ozawa , Takeshi Kuroiwa , Atsushi Ikeda , Kunimasa Miyazaki

Despite decades of work, gaining a first-principle understanding of amorphous materials remains an extremely challenging problem. However, recent theoretical breakthroughs have led to the formulation of an exact solution in the mean-field…

Disordered Systems and Neural Networks · Physics 2017-04-20 Patrick Charbonneau , Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We introduce a new model of hard spheres under confinement for the study of the glass and jamming transitions. The model is an one-dimensional chain of the $d$-dimensional boxes each of which contains the same number of hard spheres, and…

Soft Condensed Matter · Physics 2015-10-21 Harukuni Ikeda , Atsushi Ikeda

We characterize vibrational motion occurring at low temperatures in dense suspensions of soft repulsive spheres over a broad range of volume fractions encompassing the jamming transition at (T = 0, phi = phi_J). We find that characteristic…

Statistical Mechanics · Physics 2013-01-08 Atsushi Ikeda , Ludovic Berthier , Giulio Biroli

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

By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density $\phi_J$ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, $\mu_s$-dependent jamming density…

Recent ideas based on the properties of assemblies of frictionless particles in mechanical equilibrium provide a perspective of amorphous systems different from that offered by the traditional approach originating in liquid theory. The…

Statistical Mechanics · Physics 2009-07-09 R. Mari , F. Krzakala , J. Kurchan

We study a two-dimensional, off-lattice particle model introduced to describe absorbing phase transitions in driven non-Brownian suspensions. We numerically explore the $(\phi,\epsilon)$ phase diagram, where $\phi$ is the packing fraction…

Statistical Mechanics · Physics 2026-03-17 Leonardo Galliano , Ludovic Berthier
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