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The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

Soft Condensed Matter · Physics 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

There are two key paradigms for non-equilibrium dynamics: on the one hand, aging towards an equilibrium state that cannot be reached on reasonable timescales; on the other, external driving that can lead to non-equilibrium steady states. We…

Statistical Mechanics · Physics 2024-11-06 Diego Tapias , Charles Marteau , Fabián Aguirre-López , Peter Sollich

We study the off-equilibrium relaxational dynamics of the Amit-Roginsky $\phi^3$ field theory, for which the mode coupling approximation is exact. We show that complex phenomena such as aging and ergodicity breaking are present at low…

Condensed Matter · Physics 2009-10-22 Silvio Franz , John Hertz

We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in d=4 and d=6 dimensions with +-J interactions. In particular, we focus our analysis on the scaling properties of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. A. Stariolo , M. A. Montemurro , F. A. Tamarit

I describe a class of spin models with short--range plaquette interactions whose static equilibrium properties are trivial but which display glassy dynamics at low temperatures. These models have a dual description in terms of free defects…

Statistical Mechanics · Physics 2009-11-07 Juan P. Garrahan

We study the glassy dynamics taking place in dense assemblies of athermal active particles that are driven solely by a nonequilibrium self-propulsion mechanism. Active forces are modeled as an Ornstein-Uhlenbeck stochastic process,…

Soft Condensed Matter · Physics 2016-09-28 Elijah Flenner , Grzegorz Szamel , Ludovic Berthier

These lecture notes can be read in two ways. The first two Sections contain a review of the phenomenology of several physical systems with slow nonequilibrium dynamics. In the Conclusions we summarize the scenario derived from the solution…

Condensed Matter · Physics 2007-05-23 Leticia F. Cugliandolo

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

We investigate aging in glassy systems based on a simple model, where a point in configuration space performs thermally activated jumps between the minima of a random energy landscape. The model allows us to show explicitly a subaging…

Statistical Mechanics · Physics 2009-10-31 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

Aging dynamics in glassy systems is investigated by considering the hopping motion in a rugged energy landscape whose deep minima are characterized by an exponential density of states. In particular we explore the behavior of a generic…

Statistical Mechanics · Physics 2009-11-07 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

The experimental time scale dependence of thermodynamic relations in out-of-equilibrium systems with aging phenomena is investigated theoretically by using only aging properties of the two-time correlation functions and the generalized…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mitsuhiro Kawasaki

We study by means of Monte Carlo simulations the off equilibrium properties of a model glass, the Frustrated Ising Lattice Gas (FILG) in three dimensions. We have computed typical two times quantities, like density-density autocorrelations…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo , Jeferson J. Arenzon

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , Th. M Nieuwenhuizen

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gregory Schehr , Pierre Le Doussal

The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the…

Condensed Matter · Physics 2009-10-28 J. Kisker , L. Santen , M. Schreckenberg , H. Rieger

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

The critical behavior of the gauge-glass and the XY spin-glass models in three dimensions is studied by analyzing their nonequilibrium aging dynamics. A new numerical method, which relies on the calculation of the two-time correlation and…

Statistical Mechanics · Physics 2014-01-22 F. Roma , D. Dominguez

We study the role of different terms in the $N$-body potential of glass forming systems on the critical dynamics near the glass transition. Using a simplified spin model with quenched disorder, where the different terms of the real $N$-body…

Soft Condensed Matter · Physics 2009-10-31 S. Ciuchi , A. Crisanti

We introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in the Hamiltonian. The system has a crystalline ground state and below the melting temperature displays a dynamic behaviour…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas Grigera

We obtain evidence that the dynamics of glassy systems below the glass transition is characterized by self-organized criticality. Using molecular dynamics simulations of a model glass-former we identify clusters of cooperatively jumping…

Disordered Systems and Neural Networks · Physics 2015-06-25 Katharina Vollmayr-Lee , Elizabeth A. Baker