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A simple model to investigate the long time dynamics of glass-formers is presented and applied to study a Lennard-Jones system in supercooled and glassy phases. According to our model, the point representing the system in the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Angelani , Giorgio Parisi , Giancarlo Ruocco , Gabriele Viliani

Motivated by the mean field prediction of a Gardner phase transition between a "normal glass" and a "marginally stable glass", we investigate the off-equilibrium dynamics of three-dimensional polydisperse hard spheres, used as a model for…

Soft Condensed Matter · Physics 2018-06-28 Beatriz Seoane , Francesco Zamponi

We analyse numerically thermal fluctuations of the static overlap between equilibrium configurations in a glass-forming liquid approaching the glass transition. We find that the emergence of slow dynamics near the onset temperature…

Statistical Mechanics · Physics 2013-08-23 Ludovic Berthier

Phase transitions are caused by varying temperature, or pressure, or magnetic field. The observation of 1st order magneto-structural transitions has created application possibilities based on magnetoresistance, magnetocaloric effect,…

Materials Science · Physics 2014-10-17 P. Chaddah

We consider ``lattice glass models'' in which each site can be occupied by at most one particle, and any particle may have at most l occupied nearest neighbors. Using the cavity method for locally tree-like lattices, we derive the phase…

Statistical Mechanics · Physics 2015-06-24 O. Rivoire , G. Biroli , O. C. Martin , M. Mezard

We report the combined results of molecular dynamics simulations and theoretical calculations concerning various dynamical arrest transitions in a model system representing a dipolar fluid, namely, N (softcore) rigid spheres interacting…

Exploring structural order in disordered systems including liquids and glasses is an intriguing but challenging issue in condensed matter physics. Here we construct a new parameter based on the angular distribution function of particles and…

Soft Condensed Matter · Physics 2018-06-11 Xiunan Yang , Wei-Hua Wang , Ke Chen

Glass transition is accompanied by a rapid growth of the structural relaxation time and a concomitant decrease of configurational entropy. It remains unclear whether the transition has a thermodynamic origin, and whether the dynamic arrest…

Soft Condensed Matter · Physics 2015-10-28 Chengjie Xia , Jindong Li , Yixin Cao , Binquan Kou , Xinaghui Xiao , Kamel Fezzaa , Tiqiao Xiao , Yujie Wang

The Adam-Gibbs view of the glass transition relates the relaxation time to the configurational entropy, which goes continuously to zero at the so-called Kauzmann temperature. We examine this scenario in the context of a dimer model with an…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Greg Farrell , Jane' Kondev , Bulbul Chakraborty

A gas-liquid type of phase transition is found based on the particle dynamics on radius-$R$ circle in which the coordinate appears as the angle-variable of 1D XY-model. Due to the specific appearance of compact-space radius (volume) in the…

Statistical Mechanics · Physics 2019-12-06 Amir H. Fatollahi

We numerically study dynamical properties of the one-component Gaussian Core Model in the supercooled states. We find that nucleation is suppressed as density increases. Concomitantly the system exhibits glassy slow dynamics characterized…

Soft Condensed Matter · Physics 2015-05-19 Atsushi Ikeda , Kunimasa Miyazaki

Kinetically constrained models (KCMs) are models of glass formers based on the concept of dynamic facilitation. This concept accounts for many of the characteristics of the glass transition. KCMs usually display a combination of simple…

Statistical Mechanics · Physics 2007-05-23 Stephen Whitelam , Juan P. Garrahan

We present new results reflecting the analogies between the Kob-Andersen model and other glassy systems. Studying the stability of the blocked configurations above and below the transition we also give arguments that supports their…

Statistical Mechanics · Physics 2016-08-31 S. Franz , R. Mulet , G. Parisi

We analyze the tagged particle diffusion for kinetically constrained models for glassy systems. We present a method, focusing on the Kob-Andersen model as an example, which allows to prove lower and upper bounds for the self diffusion…

Statistical Mechanics · Physics 2009-11-10 Cristina Toninelli , Giulio Biroli

We present a comprehensive theoretical study of finite size effects in the relaxation dynamics of glass-forming liquids. Our analysis is motivated by recent theoretical progress regarding the understanding of relevant correlation length…

Statistical Mechanics · Physics 2012-09-12 Ludovic Berthier , Giulio Biroli , Daniele Coslovich , Walter Kob , Cristina Toninelli

Motivated by the concept of geometrical frustration, we introduce a class of statistical mechanics lattice models for the glass transition. Monte Carlo simulations in three dimensions show that they display a dynamical glass transition…

Statistical Mechanics · Physics 2009-11-07 Giulio Biroli , Marc Mezard

The glass phase and its quantum analog are prominent challenges of current non-equilibrium statistical mechanics and condensed matter physics. As a model system to study the transition from classical to quantum glassy dynamics, we propose a…

Quantum Physics · Physics 2015-11-23 Marco Mattioli , Alexander W. Glaetzle , Wolfgang Lechner

The lack of ultimate scaling relations for previtreous changes of the primary relaxation time or viscosity in glass-forming systems constitutes the grand fundamental challenge, also hindering the development of relevant material engineering…

Soft Condensed Matter · Physics 2022-06-28 Aleksandra Drozd-Rzoska , Sylwester J. Rzoska , Szymon Starzonek

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the…

Condensed Matter · Physics 2009-10-28 Jean-Philippe Bouchaud , Alain Comtet , Cécile Monthus

We investigate the physical properties of steady flows in a holographic first-order phase transition model, extending from the thermodynamics at equilibrium to the real-time dynamics far from equilibrium. Through spinodal decomposition or…

High Energy Physics - Theory · Physics 2025-01-24 Qian Chen , Yuxuan Liu , Yu Tian , Xiaoning Wu , Hongbao Zhang