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We use quantum Monte Carlo simulations to study the phase diagram of hard-core bosons with short-ranged {\it attractive} interactions, in the presence of uniform diagonal disorder. It is shown that moderate disorder stabilizes a glassy…

Disordered Systems and Neural Networks · Physics 2013-05-29 Long Dang , Massimo Boninsegni , Lode Pollet

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…

Soft Condensed Matter · Physics 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

We present a model of spheres moving in a high-dimensional compact space. We relate it to a mixed matrix model with a $O(N)$ invariant model plus a $P(N)$ invariant perturbation. We then study the low pressure regime by performing a…

Condensed Matter · Physics 2009-10-28 Leticia F. Cugliandolo , J. Kurchan , Remi Monasson , Giorgio Parisi

We study the viscoelastic response of amorphous polymers using theory and simulations. By accounting for internal stresses and considering instantaneous normal modes (INMs) within athermal non-affine theory, we make parameter-free…

We study a recently introduced and exactly solvable mean-field model for the density of vibrational states $\mathcal{D}(\omega)$ of a structurally disordered system. The model is formulated as a collection of disordered anharmonic…

Disordered Systems and Neural Networks · Physics 2021-05-10 Eran Bouchbinder , Edan Lerner , Corrado Rainone , Pierfrancesco Urbani , Francesco Zamponi

Although the concept of random close packing with an almost universal packing fraction of ~ 0.64 for hard spheres was introduced more than half a century ago, there are still ongoing debates. The main difficulty in searching the densest…

Soft Condensed Matter · Physics 2013-10-28 Ran Ni , Martien A. Cohen Stuart , Marjolein Dijkstra

Previously we reported on the stable (i.e. minimal enthalpy) structures of soft monodisperse spheres in a long cylindrical channel. Here, we present further simulations, which significantly extend the original phase diagram up to D/d =…

Soft Condensed Matter · Physics 2018-10-10 Adil Mughal , Jens Winkelmann , Denis Weaire , Stefan Hutzler

We derive a mode-coupling theory for the slow dynamics of fluids confined in disordered porous media represented by spherical particles randomly placed in space. Its equations display the usual nonlinear structure met in this theoretical…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack

We study the vibrational spectra and the specific heat of disordered systems using an effective hydrodynamic framework. We consider the contribution of diffusive modes, i.e. the 'diffusons', to the density of states and the specific heat.…

Disordered Systems and Neural Networks · Physics 2019-08-21 Matteo Baggioli , Alessio Zaccone

A hallmark of structural glasses and other disordered solids is the emergence of excess low-frequency vibrations, on top of the Debye spectrum $D_{\rm Debye}(\omega)$ of phonons ($\omega$ denotes the vibrational frequency), which exist in…

Soft Condensed Matter · Physics 2023-08-25 Edan Lerner , Eran Bouchbinder

In this paper we investigate the marginally stable nature of the low-temperature trivial spin glass phase in the spherical $p=2$ spin glass, by perturbing the system with three different kinds of non-linear interactions. In particular, we…

Disordered Systems and Neural Networks · Physics 2024-09-13 Jacopo Niedda , Tommaso Tonolo , Giacomo Gradenigo

Glasses have a large excess of low-frequency vibrational modes in comparison with continuous elastic body, the so-called Boson Peak, which appears to correlate with several crucial properties of glasses, such as transport or fragility. I…

Materials Science · Physics 2014-11-19 Matthieu Wyart

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions,…

Soft Condensed Matter · Physics 2016-07-29 Ludovic Berthier , Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Beatriz Seoane , Francesco Zamponi

We study the geometrical structure of the states in the low temperature phase of a mean field model for generalized spin glasses, the p-spin spherical model. This structure cannot be revealed by the standard methods, mainly due to the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Andrea Cavagna , Irene Giardina , Giorgio Parisi

The structure of binary As_xS_{1-x} glasses is elucidated using modulated-DSC, Raman scattering, IR reflectance and molar volume experiments over a wide range (8%<x<41%) of compositions. We observe a reversibility window in the calorimetric…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ping Chen , Chad Holbrook , P. Boolchand , D. G. Georgiev , K. A. Jackson , M. Micoulaut

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}…

Soft Condensed Matter · Physics 2026-01-05 Joost de Graaf

The spherical p-spin model is not only a fundamental model in statistical mechanics of disordered system, but has recently gained popularity since many hard problems in machine learning can be mapped on it. Thus the study of the out of…

Disordered Systems and Neural Networks · Physics 2020-09-02 Giampaolo Folena , Silvio Franz , Federico Ricci-Tersenghi

The excess low-frequency normal modes for two widely-used models of glasses were studied at zero temperature. The onset frequencies for the anomalous modes for both systems agree well with predictions of a variational argument, which is…

Soft Condensed Matter · Physics 2007-05-23 Ning Xu , Matthieu Wyart , Andrea J. Liu , Sidney R. Nagel

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We describe numerical simulations and analyses of a quasi-one-dimensional (Q1D) model of glassy dynamics. In this model, hard rods undergo Brownian dynamics through a series of narrow channels connected by $J$ intersections. We do not allow…

Soft Condensed Matter · Physics 2014-01-07 Prasanta Pal , Jerzy Blawzdziewicz , Corey S. O'Hern