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The utility of a cooperative length scale for describing the dynamics of glass-forming liquids is shown using literature data on o-terphenyl. Molecular dynamics and Monte Carlo simulations reveal a distribution of cooperative fractal events…

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

Using molecular dynamics simulations we investigate the relaxation dynamics of a supercooled liquid close to a rough as well as close to a smooth wall. For the former situation the relaxation times increase strongly with decreasing distance…

Statistical Mechanics · Physics 2009-11-07 Peter Scheidler , Walter Kob , Kurt Binder

We argue that for generic systems close to a critical point, an extended Fluctuation-Dissipation relation connects the low frequency non-linear (cubic) susceptibility to the four-point correlation function. In glassy systems, the latter…

Statistical Mechanics · Physics 2009-11-11 Jean-Philippe Bouchaud , Giulio Biroli

We propose a novel computational strategy to study the glass transition of molecular fluids. Our approach combines the construction of simple yet realistic models with the development of Monte Carlo algorithms to accelerate equilibration…

Statistical Mechanics · Physics 2026-03-31 Romain Simon , Jean-Louis Barrat , Ludovic Berthier

We discuss a novel approach, the point-to-set correlation functions, that allows to determine relevant static and dynamic length scales in glass-forming liquids. We find that static length scales increase monotonically when the temperature…

Disordered Systems and Neural Networks · Physics 2013-07-04 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

The existence of a static lengthscale that grows in accordance with the dramatic slowing down observed at the glass transition is a subject of intense interest. A recent publication compared two proposals for this length scale, one based on…

Statistical Mechanics · Physics 2017-06-27 Ricardo Gutiérrez , Smarajit Karmakar , Yoav G. Pollack , Itamar Procaccia

Glass-forming liquids have only a modest tendency to crystallize and hence their dynamics can be studied even below the melting temperature. The relaxation dynamics of most of these liquids shows at a temperature $T_c$, somewhat above the…

Soft Condensed Matter · Physics 2025-01-17 Francesco Rusciano , Raffaele Pastore , Francesco Greco , Walter Kob

A multi-time probing of density fluctuations is introduced to investigate hidden time scales of heterogeneous dynamics in glass-forming liquids. Molecular dynamics simulations for simple glass-forming liquids are performed, and a three-time…

Soft Condensed Matter · Physics 2009-06-15 Kang Kim , Shinji Saito

Supercooled liquids display dynamics that are inherently heterogeneous in space. This essentially means that at temperatures below the melting point, particle dynamics in certain regions of the liquid can be orders of magnitude faster than…

Soft Condensed Matter · Physics 2021-01-04 Dipanwita Ghoshal , Ashwin Joy

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

We examine dynamic heterogeneities in a model glass-forming fluid, a binary harmonic sphere mixture, above and below the mode-coupling temperature T_c. We calculate the ensemble independent susceptibility chi_4(tau_alpha) and the dynamic…

Statistical Mechanics · Physics 2015-06-12 Elijah Flenner , Grzegorz Szamel

The slowing down of molecular dynamics when approaching the glass transition generally proceeds much stronger than expected for thermally activated motions. This strange phenomenon can be formally ascribed to a temperature-dependent…

Soft Condensed Matter · Physics 2013-11-28 Th. Bauer , P. Lunkenheimer , A. Loidl

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

Monte Carlo simulations are widely employed to measure the physical properties of glass-forming liquids in thermal equilibrium. Combined with local Monte Carlo moves, the Metropolis algorithm can also be used to simulate the relaxation…

Statistical Mechanics · Physics 2024-09-23 Ludovic Berthier , Federico Ghimenti Frédéric van Wijland

It has been demonstrated recently that supercooled liquids sharing simple structural features (e.g. pair distribution functions) may exhibit strikingly distinct dynamical behavior. Here we show that a more subtle structural feature…

Statistical Mechanics · Physics 2012-06-04 Glen M. Hocky , Thomas E. Markland , David R. Reichman

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

Soft Condensed Matter · Physics 2013-01-04 Kang Kim , Shinji Saito

We examine a length scale that characterizes the spatial extent of heterogeneous dynamics in a glass-forming binary hard-sphere mixture up to the mode-coupling volume fraction phi_c. First, we characterize the system's dynamics. Then, we…

Soft Condensed Matter · Physics 2015-05-27 Elijah Flenner , Min Zhang , Grzegorz Szamel

We numerically obtain the first quantitative demonstration that development of spatial correlations of mobility as temperature is lowered is responsible for the ``decoupling'' of transport properties of supercooled liquids. This result…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

A new Monte Carlo algorithm is introduced for the simulation of supercooled liquids and glass formers, and tested in two model glasses. The algorithm is shown to thermalize well below the Mode Coupling temperature and to outperform other…

Statistical Mechanics · Physics 2009-05-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Collective motion over increasing length scales is a signature of the vitrification process of liquids. We demonstrate the emergence of distinct static and dynamic length scales probed near the free surface in fully equilibrated…

Statistical Mechanics · Physics 2022-11-28 Hailong Peng , Huashan Liu , Thomas Voigtmann
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