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The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

Statistical Mechanics · Physics 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

Based upon mesoscale simulations of binary mixtures with very low surface tension and positive disjoining pressure (frustration), we measure the correlation length of the stress field within the flowing mixture, as a function of the…

Soft Condensed Matter · Physics 2013-01-22 R. Benzi , M. Bernaschi , M. Sbragaglia , S. Succi

We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most oscillators remains close to integrable, i.e. quasi-periodic,…

Statistical Mechanics · Physics 2020-01-08 Wojciech De Roeck , François Huveneers

We study numerically the nonequilibrium dynamics of the Ising Spin Glass, for a time that spans eleven orders of magnitude, thus approaching the experimentally relevant scale (i.e. {\em seconds}). We introduce novel analysis techniques that…

The dynamics of a glass transition is discussed in terms of the motion of a particle in a one dimensional correlated random potential. An exact calculation of the velocity $V$ under an applied force $f$ demonstrates a variety of dynamic…

Condensed Matter · Physics 2009-10-28 Pierre Le Doussal , Valerii M. Vinokur

We analyse the out of equilibrium behavior of an Ising spin chain with an asymmetric kinetic constraint after a quench to a low temperature T. In the limit T\to 0, we provide an exact solution of the resulting coarsening process. The…

Statistical Mechanics · Physics 2007-05-23 Peter Sollich , Martin R Evans

We provide a theoretical description of dynamical heterogeneities in glass-forming liquids, based on the premise that relaxation occurs via local rearrangements coupled by elasticity. In our framework, the growth of the dynamical…

Soft Condensed Matter · Physics 2023-11-02 Ali Tahaei , Giulio Biroli , Misaki Ozawa , Marko Popović , Matthieu Wyart

In a preceding paper, Mukhopadhyay and I studied the diffusive motion of a tagged molecule in a heterogeneous glass-forming liquid at temperatures just above a glass transition. Among other features of this system, we postulated a relation…

Statistical Mechanics · Physics 2009-11-13 J. S. Langer

We examine the phenomenon of dynamical heterogeneity in computer simulations of an equilibrium, glass-forming liquid. We describe several approaches to quantify the spatial correlation of single-particle motion, and show that spatial…

Soft Condensed Matter · Physics 2009-09-25 Sharon C. Glotzer , Claudio Donati

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

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

Dynamical heterogeneities have been introduced in the context of the glass transition of molecular liquids and the lengthscale associated with them has been argued to be at the origin of the observed quasi-universal behaviour of glassy…

Soft Condensed Matter · Physics 2015-03-17 Olivier Dauchot , Douglas J. Durian , Martin van Hecke

The relaxational dynamics of 1+1 dimensional directed polymer in random potential is studied by Monte Carlo simulation. A series of temperature quench experiments is performed changing waiting times. Clear crossover from quasi-equilibrium…

Condensed Matter · Physics 2009-10-28 Hajime Yoshino

Glasses behave as solids on experimental time scales due to their slow relaxation. Growing dynamic length scales due to cooperative motion of particles are believed to be central to this slow response. For quiescent glasses, however, the…

Soft Condensed Matter · Physics 2015-05-30 Vijayakumar Chikkadi , Gerard Wegdam , Daniel Bonn , Bernard Nienhuis , Peter Schall

Understanding and controlling physical aging, i.e. the spontaneous temporal evolution of out-of-equilibrium systems, represents one of the greatest tasks in material science. Recent studies have revealed the existence of a complex atomic…

Materials Science · Physics 2016-02-17 V. M. Giordano , B. Ruta

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

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 show that the tendency towards microphase separation in microemulsions leads to the formation of a glassy state after sufficiently strong correlations between polar and hydrophobic regions have been established. Glassiness is predicted…

Disordered Systems and Neural Networks · Physics 2009-11-07 Sangwook Wu , Harry Westfahl , Joerg Schmalian , Peter G. Wolynes

We investigate the short-time dynamic relaxation of the two-dimensional XY model in the high temperature phase. Starting from the ordered state, we measure the autocorrelation function and determine the autocorrelation time. It is shown…

Statistical Mechanics · Physics 2009-10-31 Andreas Jaster