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Related papers: Aging processes in systems with anomalous slow dyn…

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We consider the dynamics of a simple one dimensional model and we discuss the phenomenon of aging (i.e., the strong dependence of the dynamical correlation functions over the waiting time). Our model is the so-called random random walk, the…

Condensed Matter · Physics 2009-10-22 Enzo Marinari , Giorgio Parisi

The dynamics of dislocations is reported to exhibit glassy properties. We study numerically various versions of 2d edge dislocation systems in the absence of externally applied stress. Two types of glassy behavior are identified: (i)…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Bako , I. Groma , G. Gyorgyi , G. T. Zimanyi

Applying the new tools developed in [G1], we investigate the arcsine aging regime of the random hopping time dynamics of the REM. Our results are optimal in several ways. They cover the full time-scale and temperature domain where this…

Probability · Mathematics 2010-08-24 Véronique Gayrard

We consider relaxation processes that exhibit a stretched exponential behavior. We find that in those systems, where the relaxation arises from two competing exponential processes, the size of the system may play a dominant role. Above a…

Statistical Mechanics · Physics 2009-10-31 Armin Bunde , Shlomo Havlin , Joseph Klafter , Gernot Graff , Arkady Shehter

Physical aging in polymers is a fundamental yet poorly understood phenomenon, as diverse macromolecular systems exhibit remarkably similar slow dynamics. Through molecular dynamics simulations of physically crosslinked networks composed of…

Soft Condensed Matter · Physics 2025-10-16 Patrick Ilg , Clarisse Luap , Martin Kröger

Trap models have been initially proposed as toy models for dynamical relaxation in extremely simplified rough potential energy landscapes. Their importance has considerably grown recently thanks to the discovery that the trap like aging…

Disordered Systems and Neural Networks · Physics 2018-04-18 Chiara Cammarota , Enzo Marinari

While multiple time scales generally arise in the dynamics of disordered systems, we find multiple time scales in absence of disorder, in a simple model with hard local constraints. The dynamics of the model, which consists of local…

Statistical Mechanics · Physics 2015-06-22 O. Cepas

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

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

A general matrix-based scheme for analyzing the long-time dynamics in kinetically constrained models such as the East model is presented. The treatment developed here is motivated by the expectation that slowly-relaxing spin domains of…

Statistical Mechanics · Physics 2016-08-31 Ramses van Zon , Jeremy Schofield

We compare aging in a disordered ferromagnet and in a spin glass, by studying the different phases of a reentrant system. We have measured the relaxation of the low-frequency ac susceptibility, in both the ferromagnetic and spin-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Vincent , V. Dupuis , M. Alba , J. Hammann , J. -P. Bouchaud

Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples…

Statistical Mechanics · Physics 2024-05-15 E. Rodriguez-Fernandez , S. N. Santalla , M. Castro , R. Cuerno

We study the aging dynamics in a model for dense simple liquids, in which particles interact through a hard-core repulsion complemented by a short-ranged attractive potential, of the kind found in colloidal suspensions. In this system, at…

Statistical Mechanics · Physics 2007-05-23 G. Foffi , E. Zaccarelli , S. Buldyrev , F. Sciortino , P. Tartaglia

The idea that information-processing systems operate near criticality to enhance computational performance is supported by scaling signatures in brain activity. However, external signals raise the question of whether this behavior is…

Neurons and Cognition · Quantitative Biology 2026-02-10 Rubén Calvo , Carles Martorell , Adrián Roig , Miguel A. Muñoz

We investigate the ultraslow structural relaxation of ageing foams with rheologically-tunable continuous phases. We probe the bubble dynamics associated with pressure-driven foam coarsening using differential dynamic microscopy, which…

Soft Condensed Matter · Physics 2024-05-20 Chiara Guidolin , Emmanuelle Rio , Roberto Cerbino , Anniina Salonen , Fabio Giavazzi

We study the intermittent dynamics and the fluctuations of the dynamic correlation function of a simple aging system. Given its size $L$ and its coherence length $\xi$, the system can be divided into $N$ independent subsystems, where…

Disordered Systems and Neural Networks · Physics 2016-08-31 Estelle Pitard

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we…

Soft Condensed Matter · Physics 2021-01-04 Jiarul Midya , Subir K. Das

Glassy systems are ubiquitous in nature, and are characterized by slow relaxations to equilibrium without a typical timescale, aging and memory effects. Understanding these is a long-standing problem in physics. We study the aging of the…

Disordered Systems and Neural Networks · Physics 2009-11-30 Ariel Amir , Yuval Oreg , Yoseph Imry

Elementary algebraic constraints on the form of an autocorrelation function C(tw+t,tw)=<A(tw+t)A(tw)> rule out some two-time scalings found in the literature as possible long-time asymptotic forms. The same argument leads to the realization…

Statistical Mechanics · Physics 2009-11-07 Jorge Kurchan
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