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In this paper the phenomenon of dynamic heterogeneity in supercooled liquid systems is considered in terms of the recently proposed gauge theory of glass transition. The physical interpretation of the dynamic scaling is considered. It is…

Statistical Mechanics · Physics 2015-06-23 Mikhail Vasin

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

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

Dynamical four-point susceptibilities measure the extent of spatial correlations in the dynamics of glass forming systems. We show how these susceptibilities depend on the length scales that necessarily form part of their definition. The…

Statistical Mechanics · Physics 2007-05-23 David Chandler , Juan P. Garrahan , Robert L. Jack , Lutz Maibaum , Albert C. Pan

Molecular dynamics computer simulations of a binary Lennard-Jones glass under shear are presented. The mechanical response of glassy states having different thermal histories is investigated by imposing a wide range of external shear rates,…

Soft Condensed Matter · Physics 2016-12-14 Gaurav Prakash Shrivastav , Pinaki Chaudhuri , Jürgen Horbach

In the present study, we performed molecular-dynamics simulations and investigated dynamical heterogeneity in a supercooled liquid under a steady shear flow. Dynamical heterogeneity can be characterized by three quantities: the correlation…

Soft Condensed Matter · Physics 2012-04-25 Hideyuki Mizuno Ryoichi Yamamoto

We propose a computational strategy to quantify the temperature evolution of the timescales and lengthscales over which dynamic facilitation affects the relaxation dynamics of glass-forming liquids at low temperatures, that requires no…

Soft Condensed Matter · Physics 2024-06-25 Cecilia Herrero , Ludovic Berthier

In this study, we demonstrate the generalizability of graph neural networks in predicting the dynamic heterogeneity of model glass-forming liquids across different temperatures. While previous approaches have often been limited to making…

Soft Condensed Matter · Physics 2026-03-17 Hidemasa Bessho , Takeshi Kawasaki , Hayato Shiba

The non-equilibrium relaxational properties of a three dimensional Coulomb glass model are investigated by kinetic Monte Carlo simulations. Our results suggest a transition from stationary to non-stationary dynamics at the equilibrium glass…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , D. R. Grempel , Daniel Dominguez

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

By means of molecular dynamics computer simulations we investigate the out of equilibrium relaxation dynamics of a simple glass former, a binary Lennard-Jones system, after a quench to low temperatures. We study both one time quantities and…

Disordered Systems and Neural Networks · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat

Recent work has demonstrated the strong qualitative differences between the dynamics near a glass transition driven by short-ranged repulsion and one governed by short-ranged attraction. Here, we study in detail the behavior of non-linear,…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , D. R. Reichman

The concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. While in glasses instantaneous configurations correspond to minima of the potential-energy hypersurface and all…

Disordered Systems and Neural Networks · Physics 2023-02-07 Stefano Mossa , Taras Bryk , Giancarlo Ruocco , Walter Schirmacher

We study the solid-to-liquid transition in a two-dimensional fully periodic soft-glassy model with an imposed spatially heterogeneous stress. The model we consider consists of droplets of a dispersed phase jammed together in a continuous…

Soft Condensed Matter · Physics 2018-06-06 Matteo Lulli , Roberto Benzi , Mauro Sbragaglia

Glass-forming liquids grow dramatically sluggish upon cooling. This slowdown has long been thought to be accompanied by a growing correlation length. Characteristic dynamical and static length scales, however, have been observed to grow at…

Disordered Systems and Neural Networks · Physics 2016-08-22 Patrick Charbonneau , Ethan Dyer , Jaehoon Lee , Sho Yaida

We develop a transferable machine learning model which predicts structural relaxation from amorphous supercooled liquid structures. The trained networks are able to predict dynamic heterogeneity across a broad range of temperatures and time…

Soft Condensed Matter · Physics 2024-02-27 Gerhard Jung , Giulio Biroli , Ludovic Berthier

We present computer simulation results on the dynamic propensity [as defined by Widmer- Cooper, Harrowell, and Fynewever, Phys. Rev. Lett. 93, 135701 (2004)] in a Kob-Andersen binary Lennard-Jones liquid system consisting of 8788 particles.…

Materials Science · Physics 2011-05-26 M. Shajahan G. Razul , Gurpreet S. Matharoo , Peter H. Poole

The presence of fluctuating local relaxation times, $\tau_r(t)$ has been used for some time as a conceptual tool to describe dynamical heterogeneities in glass-forming systems. However, until now no general method is known to extract the…

Disordered Systems and Neural Networks · Physics 2015-05-01 Gcina A. Mavimbela , Azita Parsaeian , Horacio E. Castillo

Dynamic heterogeneity is expected to be a key concept for understanding the origin of slow dynamics near the glass transition. In previous studies, quantitative evaluations of dynamic heterogeneity have been attempted using two different…

Disordered Systems and Neural Networks · Physics 2022-04-11 Kohsei Kanayama , Taiki Hoshino , Ryoichi Yamamoto

We introduce a set of theoretical ideas that form the basis for an analytical framework capable of describing nonequilibrium dynamics in glassy systems. We test the resulting scenario by comparing its predictions with numerical simulations…

Statistical Mechanics · Physics 2009-11-07 Horacio E. Castillo , Claudio Chamon , Leticia F. Cugliandolo , Malcolm P. Kennett