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From numerical minimization of a model free energy functional for a system of hard spheres, we show that the width of the local peaks of the time-averaged density field at a glassy free-energy minimum exhibits large spatial variation,…

Statistical Mechanics · Physics 2008-12-23 Pinaki Chaudhuri , Smarajit Karmakar , Chandan Dasgupta

Different sets of metastable states can be reached in glassy systems below some transition temperature depending on initial conditions and details of the dynamics. This is investigated for the Sherrington-Kirkpatrick spin glass model with…

Disordered Systems and Neural Networks · Physics 2015-03-13 Heinz Horner

The low-temperature quasi-universal behavior of amorphous solids has been attributed to the existence of spatially-localized tunneling defects found in the low-energy regions of the potential energy landscape. Computational models of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Felix C. Mocanu , Ludovic Berthier , Simone Ciarella , Dmytro Khomenko , David R. Reichman , Camille Scalliet , Francesco Zamponi

It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality class, in which the cluster size is finite even at the critical…

We analyze the energy barriers that allow escapes from a given local minimum in a mean-field model of glasses. We perform this study by using the Kac-Rice method and computing the typical number of critical points of the energy function at…

Disordered Systems and Neural Networks · Physics 2018-09-17 Valentina Ros , Giulio Biroli , Chiara Cammarota

We use replica exchange Monte-Carlo simulations to measure the equilibrium equation of state of the disordered fluid state for a binary hard sphere mixture up to very large densities where standard Monte-Carlo simulations do not easily…

Statistical Mechanics · Physics 2011-02-04 Gerardo Odriozola , Ludovic Berthier

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

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin

Granular simulations are used to probe the particle scale dynamics at short, intermediate, and long time scales for gravity driven, dense granular flows down an inclined plane. On approach to the angle of repose, where motion ceases, the…

Soft Condensed Matter · Physics 2009-11-11 L. E. Silbert

We perform path integral Monte Carlo simulations to study the imaginary time dynamics of metastable supercooled superfluid states and nearly superglassy states of a one component fluid of spinless bosons square wells. Our study shows that…

Statistical Mechanics · Physics 2016-02-10 Riccardo Fantoni

We introduce and implement a Monte Carlo scheme to study the equilibrium statistics of polymers in the globular phase. It is based on a model of "interacting elastic lattice polymers" and allows a sufficiently good sampling of long and…

Statistical Mechanics · Physics 2014-06-25 M. Baiesi , E. Orlandini

When a liquid melt is cooled, a glass or phase transition can be obtained depending on the cooling rate. Yet, this behavior has not been clearly captured in energy landscape models. Here a model is provided in which two key ingredients are…

Statistical Mechanics · Physics 2015-10-12 Gerardo G. Naumis

Using Monte Carlo simulations we show that the three-dimensional Ising model with four-spin (plaquette) interactions has some characteristic glassy features. The model dynamically generates diverging energy barriers, which give rise to slow…

Statistical Mechanics · Physics 2015-06-25 A. Lipowski , D. Johnston

In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two layers: one adjacent to the viscous sublayer and one adjacent to…

Numerical Analysis · Mathematics 2025-10-20 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

In the context of Monte Carlo sampling for lattice models, the complexity of the energy landscape often leads to Markov chains being trapped in local optima, thereby increasing the correlation between samples and reducing sampling…

Statistical Mechanics · Physics 2024-10-29 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

We use a swap Monte Carlo algorithm to numerically prepare bulk glasses with kinetic stability comparable to that of glass films produced experimentally by physical vapor deposition. By melting these systems into the liquid state, we show…

Soft Condensed Matter · Physics 2017-10-18 Christopher J. Fullerton , Ludovic Berthier

Developing a macroscopic theory of elasto-plasticity in amorphous solids calls for (i) identifying the relevant macro state-variables and (ii) discriminating the different time-scales which characterize these variables. In current theories…

Statistical Mechanics · Physics 2009-11-25 Laurent Boue , Peter Harrowell , Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Ido Regev , Jacques Zylberg

Density functional theory (DFT) primarily provides a good description of the electronic structure. Thus, DFT primarily deals with length scales as those of a chemical bond, i.e. 10^-10 meter, and with time scales of the order of atomic…

Materials Science · Physics 2007-05-23 Paolo Ruggerone , Alex Kley , Matthias Scheffler

We study the process of thermal activation mediated by sphaleron transitions by analyzing the real-time dynamics of the decay out of equilibrium in a $1+1$ dimensional field theory with a metastable state. The situation considered is that…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. Boyanovsky , C. A. de Carvalho

The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying and measuring such a length is…

Statistical Mechanics · Physics 2014-05-29 Giulio Biroli , Smarajit Karmakar , Itamar Procaccia
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