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In this note we present numerical simulations of binary mixtures. We study the diffusion of particles and the response to an external driving force. We find evidence for the validity of the Cugliandolo Kurchan off-equilibrium fluctuation…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

In this note we present numerical simulations of binary mixtures and we find indications for a thermodynamic transition to a glassy phase. We find that below the transition point the off equilibrium correlation functions and response…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

We introduce a set of theoretical ideas that form the basis for an analytical framework capable of describing nonequilibrium dynamics in glassy systems. We test the resulting scenario by comparing its predictions with numerical simulations…

Statistical Mechanics · Physics 2009-11-07 Horacio E. Castillo , Claudio Chamon , Leticia F. Cugliandolo , Malcolm P. Kennett

We present some simple computer simulations that indicate that at short time aging is realized in a simple model of binary glasses. It is interesting to note that modest computer simulations are enough to evidenziate this effect. We also…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

Aging effects in the two-time correlation function and the response function after a quench from a high temperature to some low temperature are considered for a simple kinetic random energy model exhibiting stretched exponential relaxation.…

Soft Condensed Matter · Physics 2009-11-11 Gregor Diezemann

In this Article we review some recent progresses in the field of non-equilibrium linear response theory. We show how a generalization of the fluctuation-dissipation theorem can be derived for Markov processes, and discuss the…

Statistical Mechanics · Physics 2007-07-06 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

Statistical Mechanics · Physics 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

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

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 study aging dynamics in two non-disordered spin models with multi-spin interactions, following a sudden quench to low temperature. The models are relevant to the physics of supercooled liquids. Their low temperature dynamics resemble…

Statistical Mechanics · Physics 2009-11-11 Robert L. Jack , Ludovic Berthier , Juan P. Garrahan

Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical…

Disordered Systems and Neural Networks · Physics 2025-11-11 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli , Michel Fruchart , Vincenzo Vitelli

The applications of nonequilbrium relations such as the Jarzynski equality and the fluctuation theorem to spin glasses are considered. The spin glass is a basic platform where we consider an application of an approximate solver of…

Disordered Systems and Neural Networks · Physics 2015-05-18 Masayuki Ohzeki , Hidetoshi Nishimori

The noncrystalline glassy state of matter plays a role in virtually all fields of materials science and offers complementary properties to those of the crystalline counterpart. The caveat of the glassy state is that it is out of equilibrium…

We corroborate the idea of a close connection between replica symmetry breaking and aging in the linear response function for a large class of finite-dimensional systems with short-range interactions. In these system, characterized by a…

Statistical Mechanics · Physics 2019-08-17 Silvio Franz , Marc Mézard , Giorgio Parisi , Luca Peliti

The nonequilibrium critical dynamics of the 2D XY model is investigated numerically through Monte Carlo simulations and analytically in the spin-wave approximation. We focus in particular on the behaviour of the two-time response and…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Peter C. W. Holdsworth , Mauro Sellitto

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

Out of equilibrium relaxation processes show aging if they become slower as time passes. Aging processes are ubiquitous and play a fundamental role in the physics of glasses and spin glasses and in other applications (e.g. in algorithms…

Disordered Systems and Neural Networks · Physics 2020-09-04 Massimo Bernaschi , Alain Billoire , Andrea Maiorano , Giorgio Parisi , Federico Ricci-Tersenghi

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as a long range interaction spin glass and as a particle in a random potential. The statics of this problem is well known and exhibits a…

Condensed Matter · Physics 2009-10-22 S. Franz , M. Mézard

Many recent experiments probed the off equilibrium dynamics of spin glasses and other glassy systems through temperature cycling protocols and observed memory and rejuvenation phenomena. Here we show through numerical simulations, using…

Disordered Systems and Neural Networks · Physics 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi
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