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We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

We study the out-of-equilibrium dynamics following a temperature-jump in a model for a strong liquid, BKS-silica, and compare it with the well known case of fragile liquids. We calculate the fluctuation-dissipation relation, from which it…

Soft Condensed Matter · Physics 2009-11-10 Antonio Scala , Chantal Valeriani , Francesco Sciortino , Piero Tartaglia

The validity of Einstein's fluctuation-dissipation relation is discussed in respect to the type of relaxation in an isothermal system. The first model, presuming isothermic fluctuations, leads to the Einstein formula. The second model…

Statistical Mechanics · Physics 2011-04-08 Roumen Tsekov

We consider the dynamics of a diluted mean-field spin glass model in the aging regime. The model presents a particularly rich heterogeneous behavior. In order to catch this behavior, we perform a **spin-by-spin analysis** for a **given…

Disordered Systems and Neural Networks · Physics 2009-11-07 Andrea Montanari , Federico Ricci-Tersenghi

The electric thermal noise has been measured in two aging materials, a colloidal suspension (Laponite) and a polymer (polycarbonate), presenting very slow relaxation towards equilibrium. The measurements have been performed during the…

Statistical Mechanics · Physics 2009-11-10 L. Buisson , M. Ciccotti , L. Bellon , S. Ciliberto

We investigate the relation between two-time, multi-spin, correlation and response functions in the non-equilibrium critical dynamics of Ising models in d=1 and d=2 spatial dimensions. In these non-equilibrium situations, the…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Ludovic Berthier , Juan P. Garrahan , Peter Sollich

In this lecture we review several aspects of the thermal noise properties in two aging materials: a polymer and a colloidal glass. The measurements have been performed after a quench for the polymer and during the transition from a…

Statistical Mechanics · Physics 2015-06-24 L. Bellon , L. Buisson , M. Ciccotti , S. Ciliberto , F. Douarche

We propose a scenario for the glass transition based on the cooperative nature of nucleation processes and entropic effects. The main point is the relation between the off-equilibrium energy dissipation and nucleation processes in…

Soft Condensed Matter · Physics 2009-11-07 A. Crisanti , F. Ritort

In a fluid out of equilibrium, the fluctuation dissipation theorem (FDT) is usually violated. Using molecular dynamics simulations, we study in detail the relationship between correlation and response functions in a fluid driven into a…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jean-Louis Barrat , Ludovic Berthier

We discuss the relaxation dynamics of a simple structural glass which has been quenched below its glass transition temperature. We demonstrate that time correlation functions show strong aging effects and investigate in what way the…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat

The unifying feature of glass formers (such as polymers, supercooled liquids, colloids, granulars, spin glasses, superconductors, ...) is a sluggish dynamics at low temperatures. Indeed, their dynamics is so slow that thermal equilibrium is…

Large entropy fluctuations in a nonequilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2-freedom model with the so-called Gauss time-reversible thermostat. The local fluctuations (on a…

Chaotic Dynamics · Physics 2009-10-31 Boris Chirikov

A quantum mechanical model is used to derive a generalized Landau-Lifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The…

Materials Science · Physics 2009-11-07 A. Rebei , G. J. Parker

The orientation fluctuations of the director of a liquid crystal are measured, by a sensitive polarization interferometer, close to the Fr\'eedericksz transition, which is a second order transition driven by an electric field. We show that…

Statistical Mechanics · Physics 2010-09-15 Sylvain Joubaud , Artem Petrosyan , Sergio Ciliberto , Nicolas Garnier

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used to explain the origin of the violation of the fluctuation-dissipation theorem. The dynamics is analyzed…

Statistical Mechanics · Physics 2009-11-10 M. Naspreda , D. Reguera , A. Perez-Madrid , J. M. Rubi

Fluctuation-Dissipation Relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two ``potentials'' (total energy and entropy) and two ``matrices'' which determine the…

Fluid Dynamics · Physics 2007-05-23 F. Vazquez , M. A. Olivares-Robles , S. Delgado

The Green-Kubo relation, the Einstein relation, and the fluctuation-response relation are representative universal relations among measurable quantities that are valid in the linear response regime. We provide pedagogical proofs of these…

Statistical Mechanics · Physics 2009-11-11 Kumiko Hayashi , Shin-ichi Sasa

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

We investigate the validity of Fluctuation-Dissipation (FD) relations for a mixture of two granular gases with different physical properties (restitution coefficients or masses) subject to stochastic driving. It is well known that the…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Vittorio Loreto , Andrea Puglisi

We present time-dependent dielectric loss data at different frequencies for a variety of glass formers after cooling below the glass temperature. The observed aging dynamics is described using a modified Kohlrausch-Williams-Watts law, which…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. Lunkenheimer , R. Wehn , U. Schneider , A. Loidl
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