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In this paper, we review several important features of the out-of-equilibrium dynamics of spin glasses. Starting with the simplest experiments, we discuss the scaling laws used to describe the isothermal aging observed in spin glasses after…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. Dupuis , F. Bert , J. -P. Bouchaud , J. Hammann , F. Ladieu , D. Parker , E. Vincent

We study the out of equilibrium dynamics of several models exhibiting aging. We attempt at identifying various types of aging systems using a phase space point of view: we introduce a trial classification, based on the overlap between two…

Condensed Matter · Physics 2009-10-28 A. Barrat , R. Burioni , M. Mézard

We study dynamical aspects of three--dimensional gonihedric spins by using Monte--Carlo methods. The interest of this family of models (parametrized by one self-avoidance parameter $\kappa$) lies in their capability to show remarkably slow…

Condensed Matter · Physics 2009-11-07 P. Dimopoulos , D. Espriu , E. Jané , A. Prats

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

Disordered Systems and Neural Networks · Physics 2014-10-09 Chiara Cammarota , Enzo Marinari

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hajime Yoshino , Petra E. Jonsson

We numerically study finite-dimensional spin glasses at low and zero temperature, finding evidences for (i) strong time/space heterogeneities, (ii) spontaneous time scale separation and (iii) power law distributions of flipping times. Using…

Statistical Mechanics · Physics 2009-10-31 Federico Ricci-Tersenghi , Riccardo Zecchina

We demonstrate the use of Langevin spin dynamics for studying dynamical properties of an archetypical spin glass system. Simulations are performed on CuMn (20% Mn) where we study the relaxation that follows a sudden quench of the system to…

Materials Science · Physics 2009-11-13 B. Skubic , O. E. Peil , J. Hellsvik , P. Nordblad , L. Nordström , O. Eriksson

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

We study numerically the out-of-equilibrium dynamics of interfaces at finite temperatures when driven well below the zero-temperature depinning threshold. We go further than previous analysis by including the most relevant non-equilibrium…

Statistical Mechanics · Physics 2009-11-11 Jose J. Ramasco , Juan M. Lopez , Miguel A. Rodriguez

It is well established that glassy materials can undergo aging, i.e., their properties gradually change over time. There is rapidly growing evidence that dense active and living systems also exhibit many features of glassy behavior, but it…

Statistical Mechanics · Physics 2022-03-29 Giulia Janzen , Liesbeth M. C. Janssen

The quench dynamics of glassy systems are challenging. Due to aging, the system never reaches a stationary state but instead evolves on emergent scales that grow with its age. This slow evolution complicates field-theoretic descriptions, as…

Disordered Systems and Neural Networks · Physics 2025-12-12 Johannes Lang , Subir Sachdev , Sebastian Diehl

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

Understanding glasses is considered to be one of the most fundamental problems in statistical physics. A theoretical approach to unravel their universal properties is to consider the validity of equilibrium concepts such as temperature and…

Soft Condensed Matter · Physics 2015-06-25 Ping Wang , Chaoming Song , Hernan A. Makse

We rigorously analyze the low temperature non-equilibrium dynamics of the East model, a special example of a one dimensional oriented kinetically constrained particle model, when the initial distribution is different from the reversible one…

Mathematical Physics · Physics 2015-05-20 A. Faggionato , F. Martinelli , C. Roberto , C. Toninelli

Recent numerical simulations of a disordered system (Preprint arXiv:condmat/0307554) have shown the existence of two different relaxational processes (called stimulated and spontaneous) characterizing the relaxation observed in structural…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Ritort

We study the Metropolis dynamics of the simplest mean-field spin glass model, the Random Energy Model. We show that this dynamics exhibits aging by showing that the properly rescaled time change process between the Metropolis dynamics and a…

Probability · Mathematics 2015-02-17 Jiří Černý , Tobias Wassmer

We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Malcolm P. Kennett , Claudio Chamon , Leticia F. Cugliandolo

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 investigate the aging behavior of lattice-gas models with constrained dynamics in which particle exchange with a reservoir is allowed. Such models provide a particularly simple interpretation of aging phenomena as a slow approach to…

Statistical Mechanics · Physics 2009-10-30 Jorge Kurchan , Luca Peliti , Mauro Sellitto

We investigate numerically the time dependence of "window" overlaps in a three-dimensional Ising spin glass below its transition temperature after a rapid quench. Using an efficient GPU implementation, we are able to study large systems up…

Statistical Mechanics · Physics 2015-04-09 Markus Manssen , Alexander K. Hartmann , A. P. Young