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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

We study the off-equilibrium response and correlation functions and the corresponding fluctuation-dissipation ratio for a purely dissipative relaxation of an O(N) symmetric vector model (Model A) below its upper critical dimension. The…

Statistical Mechanics · Physics 2008-12-18 Pasquale Calabrese , Andrea Gambassi

A generalized version of the nonequilibrium linear Glauber model with $q$ states in $d$ dimensions is introduced and analyzed. The model is fully symmetric, its dynamics being invariant under all permutations of the $q$ states. Exact…

Statistical Mechanics · Physics 2010-07-27 M. O. Hase , T. Tomé , M. J. de Oliveira

We study the nonequilibrium phase transition in a model of aggregation of masses allowing for diffusion, aggregation on contact and fragmentation. The model undergoes a dynamical phase transition in all dimensions. The steady state mass…

Statistical Mechanics · Physics 2015-06-25 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

Models of many-species ecosystems, such as the Lotka-Volterra and replicator equations, suggest that these systems generically exhibit near-extinction processes, where population sizes go very close to zero for some time before rebounding,…

Statistical Mechanics · Physics 2023-03-15 Thibaut Arnoulx de Pirey , Guy Bunin

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 study the out-of-equilibrium large time dynamics of a gaussian polymer chain in a quenched random potential. The dynamics studied is a simple Langevin dynamics commonly referred to as the Rouse model. The equations for the two-time…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yadin Y. Goldschmidt

Results of extensive Monte-Carlo simulations that investigate the out-of-equilibrium dynamics of the one-dimensional Ising spin glass model with a Gaussian bond-distribution are presented. At low enough temperatures a typical (interrupted)…

Condensed Matter · Physics 2007-05-23 H. Rieger J. Kisker , M. Schreckenberg

Monte Carlo simulations on the SK model have been done to investigate aging processes after a rapid quench from $T=\infty$ to the spin-glass phase. The time range of simulations is taken care of so that the system does not surmount…

Disordered Systems and Neural Networks · Physics 2008-02-03 Hajime Takayama , Hajime Yoshino , Koji Hukushima

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

Condensed Matter · Physics 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

We studied the nonequilibrium aging behavior of the Random Field Ising Model in three dimensions for various values of the disorder strength. This allowed us to investigate how the aging behavior changes across the…

Statistical Mechanics · Physics 2017-08-02 Sebastian von Ohr , Markus Manssen , Alexander K. Hartmann

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 kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still…

Statistical Mechanics · Physics 2023-04-12 Soumik Ghosh , Subir K. Das

Aging, the dependence of the dynamics of a physical process on the time $t_a$ since its original preparation, is observed in systems ranging from the motion of charge carriers in amorphous semiconductors over the blinking dynamics of…

Statistical Mechanics · Physics 2014-12-24 Henning Kruesemann , Aljaz Godec , Ralf Metzler

We investigate the behaviour of the response function in the one dimensional trap model using scaling arguments that we confirm by numerical simulations. We study the average position of the random walk at time tw+t given that a small bias…

Disordered Systems and Neural Networks · Physics 2009-11-10 E. M. Bertin , J. -P. Bouchaud

We discuss relaxation and aging processes in the one- and two-dimensional $ABC$ models. In these driven diffusive systems of three particle types, biased exchanges in one direction yield a coarsening process characterized in the long time…

Statistical Mechanics · Physics 2015-05-13 Mark O. Brown , Robert H. Galyean , Xiangwen Wang , Michel Pleimling

Recently, anomalous subdiffusion, aging, and scatter of the diffusion coefficient have been reported in many single-particle-tracking experiments, though origins of these behaviors are still elusive. Here, as a model to describe such…

Statistical Mechanics · Physics 2016-07-13 Tomoshige Miyaguchi , Takuma Akimoto , Eiji Yamamoto

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with…

Statistical Mechanics · Physics 2009-11-13 Vlad Elgart , Michel Pleimling

Using molecular dynamics computer simulations we investigate the out-of-equilibrium dynamics of a Lennard-Jones system after a quench from a high temperature to one below the glass transition temperature. By studying the radial distribution…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat , Francesco Sciortino , Piero Tartaglia

We report new results related to the two-time dynamics of the coordinate of a quantum free particle, damped through its interaction with a fractal thermal bath (non-ohmic coupling $\sim\omega^\delta$ with $0<\delta<1$ or $1<\delta<2)$. When…

Statistical Mechanics · Physics 2009-11-07 Alain Mauger , Noelle Pottier