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We address the interesting temperature range of a glass forming system where the mechanical properties are intermediate between those of a liquid and a solid. We employ an efficient Monte-Carlo method to calculate the elastic moduli, and…

Statistical Mechanics · Physics 2009-11-13 Valery Ilyin , Nataliya Makedonska , Itamar Procaccia , Nurith Schupper

We implement a standard Monte Carlo algorithm to study the slow, equilibrium dynamics of a silica melt in a wide temperature regime, from 6100 K down to 2750 K. We find that the average dynamical behaviour of the system is in quantitative…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ludovic Berthier

We use the swap Monte Carlo algorithm to analyse the glassy behaviour of sticky spheres in equilibrium conditions at densities where conventional simulations and experiments fail to reach equilibrium, beyond predicted phase transitions and…

Soft Condensed Matter · Physics 2020-12-21 Christopher J. Fullerton , Ludovic Berthier

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty

Metallic glasses are promising materials with unique mechanical and thermal properties, but their atomic-scale dynamics remain challenging to understand. In this work, we develop a unified approach to investigate the glass transition and…

Materials Science · Physics 2025-02-07 Anh D. Phan , Do T. Nga , Ngo T. Que , Hailong Peng , Thongchanh Norhourmour , Le M. Tu

The glass transition is a long-standing unsolved problem in materials science. For polymers, our understanding of glass-formation is particularly poor due to the added complexity of chain connectivity and flexibility; structural relaxation…

Soft Condensed Matter · Physics 2022-05-30 Daniel L. Baker , Matthew Reynolds , Robin Masurel , Peter D. Olmsted , Johan Mattsson

It was recently discovered that SWAP, a Monte Carlo algorithm that involves the exchange of pairs of particles of differing diameters, can dramatically accelerate the equilibration of simulated supercooled liquids in regimes where the…

Statistical Mechanics · Physics 2019-04-02 Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud , Gilles Tarjus

Computer simulations of structure formation in network forming materials (such as amorphous semiconductors, glasses, or fluids containing hydrogen bonds) are challenging. The problem is that large structural changes in the network topology…

Statistical Mechanics · Physics 2015-06-18 Richard Vink

While recent work towards the development of tight-binding and ab-initio algorithms has focused on molecular dynamics, Monte Carlo methods can often lead to better results with relatively little effort. We present here a multi-step Monte…

Statistical Mechanics · Physics 2009-10-31 Parthapratim Biswas , G. T. Barkema , Normand Mousseau , W. F. van der Weg

The recently proposed strategy for studying the equilibrium thermodynamics of the glass phase using a molecular liquid is reviewed and tested in details on the solvable case of the $p$-spin model. We derive the general phase diagram, and…

Condensed Matter · Physics 2015-06-25 Marc Mezard

Slow relaxation and glassiness have been the focus of extensive research attention, along with popular and technological interest, for many decades. While much understanding has been attained through mean-field and mode-coupling models,…

Disordered Systems and Neural Networks · Physics 2024-10-21 Alex Gower , Oliver Hart , Claudio Castelnovo

The physical behavior of glass-forming liquids presents complex features of both dynamic and thermodynamic nature. Some studies indicate the presence of thermodynamic anomalies and of crossovers in the dynamic properties, but their origin…

Statistical Mechanics · Physics 2018-06-08 Daniele Coslovich , Misaki Ozawa , Walter Kob

The utility of a cooperative length scale for describing the dynamics of small molecule glass-formers is shown. Molecular Dynamics and Monte Carlo simulations reveal a distribution of cooperatively moving fractal events below the…

Other Condensed Matter · Physics 2007-05-23 B. M. Erwin , R. H. Colby , S. Y. Kamath , S. K. Kumar

Policy-guided Monte Carlo is an adaptive method to simulate classical interacting systems. It adjusts the proposal distribution of the Metropolis-Hastings algorithm to maximize the sampling efficiency, using a formalism inspired by…

Soft Condensed Matter · Physics 2024-08-23 Leonardo Galliano , Riccardo Rende , Daniele Coslovich

Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted by thermally…

Statistical Mechanics · Physics 2020-09-09 Ludovic Berthier , Patrick Charbonneau , Joyjit Kundu

We introduce a new quantity to probe the glass transition. This quantity is a linear generalized compressibility which depends solely on the positions of the particles. We have performed a molecular dynamics simulation on a glass forming…

Disordered Systems and Neural Networks · Physics 2007-05-23 Herve M. Carruzzo , Clare C. Yu

Using a distinguishable-particle lattice model based on void-induced dynamics, we successfully reproduce the well-known linear relation between heat capacity and temperature at very low temperatures. The heat capacity is dominated by…

Soft Condensed Matter · Physics 2022-12-14 Xin-Yuan Gao , Hai-Yao Deng , Chun-Shing Lee , J. Q. You , Chi-Hang Lam

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

Disordered Systems and Neural Networks · Physics 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to…

Statistical Mechanics · Physics 2019-04-05 Ludovic Berthier , Patrick Charbonneau , Andrea Ninarello , Misaki Ozawa , Sho Yaida

We review recent results from computer simulation studies of polymer glasses, from chain dynamics around the glass transition temperature Tg to the mechanical behaviour below Tg. These results clearly show that modern computer simulations…

Materials Science · Physics 2010-09-29 Jean-Louis Barrat , Joerg Baschnagel , Alexei Lyulin