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This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption that time-reparametrization invariance develops asymptotically…

Statistical Mechanics · Physics 2015-05-28 Claudio Chamon , Federico Corberi , Leticia F. Cugliandolo

The non-equilibrium dynamics of three paradigmatic models for two-dimensional systems with quenched disorder is studied with a focus on the existence and analysis of a growing length scale during aging at low temperatures: 1) The random…

Disordered Systems and Neural Networks · Physics 2009-11-10 Heiko Rieger , Gregory Schehr , Raja Paul

We summarize studies of growing lengths in different aging systems. The article is structured as follows. We recall the definition of a number of observables, typically correlations and susceptibilities, that give access to dynamic and…

Statistical Mechanics · Physics 2010-10-04 Federico Corberi , Leticia F. Cugliandolo , Hajime Yoshino

We study spatio-temporal fluctuations in the non-equilibrium dynamics of the d dimensional O(N) in the large N limit. We analyse the invariance of the dynamic equations for the global correlation and response in the slow ageing regime under…

Statistical Mechanics · Physics 2009-11-11 Claudio Chamon , Leticia F. Cugliandolo , Hajime Yoshino

We construct a framework for the study of fluctuations in the nonequilibrium relaxation of glassy systems with and without quenched disorder. We study two types of two-time local correlators with the aim of characterizing the heterogeneous…

We summarize a theoretical framework based on global time-reparametrization invariance that explains the origin of dynamic fluctuations in glassy systems. We introduce the main ideas without getting into much technical details. We describe…

Disordered Systems and Neural Networks · Physics 2009-11-13 Claudio Chamon , Leticia F. Cugliandolo

We numerically study the three-dimensional Edwards-Anderson model with Gaussian couplings, focusing on the heterogeneities arising in its nonequilibrium dynamics. Results are analyzed in terms of the backbone picture, which links strong…

Statistical Mechanics · Physics 2016-12-05 F. Roma , S. Bustingorry , P. M. Gleiser

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

We present a detailed study of the scaling behavior of correlations functions and AC susceptibility relaxations in the aging regime in three dimensional spin glasses. The agreement between simulations and experiments is excellent confirming…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Picco , F. Ricci-Tersenghi , F. Ritort

We perform an accurate test of Ultrametricity in the aging dynamics of the three dimensional Edwards-Anderson spin glass. Our method consists in considering the evolution in parallel of two identical systems constrained to have fixed…

Disordered Systems and Neural Networks · Physics 2009-10-31 Silvio Franz , Federico Ricci-Tersenghi

We numerically study aging for the Edwards-Anderson Model in 3 and 4 dimensions using different temperature-change protocols. In D=3, time scales a thousand times larger than in previous work are reached with the SUE machine. Deviations…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Jimenez , V. Martin-Mayor , S. Perez-Gaviro

We show that in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in…

Disordered Systems and Neural Networks · Physics 2013-04-16 Patrick Charbonneau , Gilles Tarjus

We study the growing time scales and length scales associated with dynamical slow down for a realistic glass former, using computer simulations. We perform finite size scaling to evaluate a length scale associated with dynamical…

Statistical Mechanics · Physics 2009-11-13 Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

We describe spatio-temporal correlations and heterogeneities in a kinetically constrained glassy model, the Kob-Andersen model. The kinetic constraints of the model alone induce the existence of dynamic correlation lengths, that increase as…

Disordered Systems and Neural Networks · Physics 2009-11-10 Enzo Marinari , Estelle Pitard

Using RG we investigate the non-equilibrium relaxation of the (Cardy-Ostlund) 2D random Sine-Gordon model, which describes pinned arrays of lines. Its statics exhibits a marginal ($\theta=0$) glass phase for $T<T_g$ described by a line of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Pierre Le Doussal

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

Using extensive molecular dynamics simulations, we have performed finite-size scaling (FSS) in the aging regime of a model glass-forming liquid to investigate how the length scales associated with amorphous order (static length) and dynamic…

Soft Condensed Matter · Physics 2025-12-22 Santu Nath , Smarajit Karmakar

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

Statistical Mechanics · Physics 2015-06-05 Hyunhang Park , Michel Pleimling

We show results of simulations of a weakly driven four dimensional Edwards- Anderson spin glass, which presents clear signatures of dynamical ultrametricity at low temperatures. The presence of a hierarchical organization of time scales is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo
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