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Relative ageing describes how a system ages with respect to another one. The ageing faster orders are the ones which compare the relative ageings of two systems. Here, we study ageing faster orders in the hazard and the reversed hazard…

Applications · Statistics 2019-06-21 Nil Kamal Hazra , Neeraj Misra

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an \epsilon=4-d expansion for…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Andrea Gambassi

The SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L=60). The correlation function,…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Jimenez , V. Martin-Mayor , G. Parisi , A. Tarancon

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

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

High Energy Physics - Theory · Physics 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

We employ Monte Carlo simulations to investigate the two-time density autocorrelation function for the two-dimensional Coulomb glass. We find that the nonequilibrium relaxation properties of this highly correlated disordered system can be…

Statistical Mechanics · Physics 2010-10-07 Matthew T. Shimer , Uwe C. Täuber , Michel Pleimling

The coupling of active, self-motile particles to topological constraints can give rise to novel non-equilibrium dynamical patterns that lack any passive counterpart. Here we study the behavior of self-propelled rods confined to a compact…

Statistical Mechanics · Physics 2018-08-21 Liesbeth M. C. Janssen , Andreas Kaiser , Hartmut Löwen

We study analytically and numerically the statics and the off-equilibrium dynamics of spin models over finitely connected random graphs. We identify a threshold value for the connectivity beyond which the loop structure of the graph becomes…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Barrat , R. Zecchina

The low temperature Monte Carlo dynamics of an ensemble of linear harmonic oscillators shows some entropic barriers related to the difficulty of finding the directions in configurational space which decrease the energy. This mechanism is…

Statistical Mechanics · Physics 2015-06-25 L. L. Bonilla , F. G. Padilla , F. Ritort

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

Glasses possess complex energy landscapes and exhibit non-equilibrium aging dynamics. Here, we propose a generalized trap model for activated aging based on a key static property of the energy landscape: the distribution of energy barriers.…

Disordered Systems and Neural Networks · Physics 2026-01-22 Bin Li , Deng Pan , Ting Qu , Yuliang Jin

The time distribution of relaxation events in an aging system is investigated via molecular dynamics simulations. The focus is on the distribution functions of the first passage time, $p_1(\Delta t)$, and the persistence time, $p(\tau)$. In…

Disordered Systems and Neural Networks · Physics 2015-09-15 Nima H. Siboni , Dierk Raabe , Fathollah Varnik

In this paper, we review the general features of the out-of-equilibrium dynamics of spin glasses. We use this example as a guideline for a brief description of glassy dynamics in other disordered systems like structural and polymer glasses,…

Disordered Systems and Neural Networks · Physics 2009-11-03 Eric Vincent

Using molecular dynamics computer simulations we investigate the aging dynamics of a gel. We start from a fractal structure generated by the DLCA-DEF algorithm, onto which we then impose an interaction potential consisting of a short-range…

Soft Condensed Matter · Physics 2008-12-19 M-A. Suarez , N. Kern , E. Pitard , W. Kob

The interpretation of experimental and numerical data describing off-equilibrium aging dynamics crucially depends on the connection between spontaneous and induced fluctuations. The hypothesis that linear response fluctuations are…

Statistical Mechanics · Physics 2008-03-18 Simon Christiansen , Paolo Sibani

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large…

Statistical Mechanics · Physics 2009-11-13 Florian Baumann , Michel Pleimling

We obtain scaling limit results for asymmetric trap models and their infinite volume counterparts, namely asymmetric K processes. Aging results for the latter processes are derived therefrom.

Probability · Mathematics 2012-05-17 S. C. Bezerra , L. R. G. Fontes , R. J. Gava , V. Gayrard , P. Mathieu

This paper considers limit theorems associated with subgraph counts in the age-dependent random connection model. First, we identify regimes where the count of sub-trees converges weakly to a stable random variable under suitable…

Probability · Mathematics 2024-09-10 Christian Hirsch , Takashi Owada

A generalised form of time-translation-invariance permits to re-derive the known generic phenomenology of ageing, which arises in classical many-body systems after a quench from an initially disordered system to a temperature $T\leq T_c$,…

Statistical Mechanics · Physics 2025-05-30 Malte Henkel

We have investigated the nature of the dynamical behaviour in low autocorrelation binary sequences. These models do have a glass transition $T_G$ of a purely dynamical nature. Above the glass transition the dynamics is not fully ergodic and…

Condensed Matter · Physics 2009-10-22 Gabriele Migliorini , Felix Ritort