English
Related papers

Related papers: Aging is a log-Poisson Process, not a Renewal Proc…

200 papers

The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system…

Condensed Matter · Physics 2015-06-25 Heiko Rieger

Granular materials densify under repeated mechanical perturbations, a nonequilibrium dynamics that underlies many natural and industrial processes. Because granular relaxation is governed by frictional contacts and energy dissipation, this…

Soft Condensed Matter · Physics 2025-10-20 Ye Yuan , Walter Kob , Hajime Tanaka

Recently, different numerical studies of coarsening in disordered systems have shown the existence of a crossover from an initial, transient, power-law domain growth to a slower, presumably logarithmic, growth. However, due to the very slow…

Statistical Mechanics · Physics 2013-04-01 Nasrin Afzal , Michel Pleimling

We investigate aging continuous time random walks (ACTRW), introduced by Monthus and Bouchaud [{\em J. Phys. A} {\bf 29}, 3847 (1996)]. Statistical behaviors of the displacement of the random walker ${\bf r}={\bf r}(t) - {\bf r}(0)$ in the…

Statistical Mechanics · Physics 2009-11-07 Eli Barkai , Yuan-Chung Cheng

Complex systems having metastable elements often demonstrate nearly log-time relaxations and a kind of aging: repeated stimuli weaken the system's relaxational response. Granular matter is known to exhibit a wealth of such behaviors, for…

Soft Condensed Matter · Physics 2014-06-16 V. Y. Zaitsev , V. E. Gusev , V. Tournat , P. Richard

Many colloidal systems display very non-Newtonian and solid-like behaviour when concentrated, a striking feature being the apparition of a yield stress. After recalling some basics about the interactions between colloidal particles, I…

Soft Condensed Matter · Physics 2007-05-23 Armand Ajdari

The GREM-like trap model is a continuous time Markov jump process on the leaves of a finite volume $L$-level tree whose transition rates depend on a trapping landscape built on the vertices of the whole tree. We prove that the natural…

Probability · Mathematics 2015-01-14 Véronique Gayrard , Onur Gün

We present an analytical approach to the out of equilibrium dynamics of a class of kinetic lattice gases under gravity. The location of the jamming transition, the critical exponents, and the scaling functions characterizing the relaxation…

Statistical Mechanics · Physics 2009-10-31 Y. Levin , J. J. Arenzon , M. Sellitto

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

A phenomenon recently coined as ``overaging'' implies a slowdown in the collective (slow) relaxation modes of a glass when a transient shear strain is imposed. We are able to reproduce this behavior in simulations of a supercooled polymer…

Soft Condensed Matter · Physics 2009-11-11 Matthew L. Wallace , Bela Joos

We review the most striking experimental results on aging in a variety of disordered systems, which reveal similar features but also important differences. We argue that a generic model that reproduce many of these features is that of {\it…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud

The Continuous Time Random Walk (CTRW) formalism is used to model the non-Poisson relaxation of a system response to perturbation. Two mechanisms to perturb the system are analyzed: a first in which the perturbation, seen as a potential…

Disordered Systems and Neural Networks · Physics 2009-11-13 Gerardo Aquino , Paolo Grgolini , Bruce J. West

This study demonstrates that the free-surface flow dynamics of dense piles of contactless silica microparticles depend on the resting period prior to flow. Microfluidic rotating drum experiments reveal that longer resting times lead to…

Soft Condensed Matter · Physics 2026-02-02 Jesús Fernández , Loïc Vanel , Antoine Bérut

Low-dimensional, complex systems are often characterized by logarithmically slow dynamics. We study the generic motion of a labeled particle in an ensemble of identical diffusing particles with hardcore interactions in a strongly…

In this paper the celebrated arcsine aging scheme of G. Ben Arous and J. Cern\'y is taken up. Using a brand new approach based on point processes and weak convergence techniques, this scheme is implemented in a wide class of Markov…

Probability · Mathematics 2010-08-24 Véronique Gayrard

We argue that Poisson statistics in logarithmic time provides an idealized description of non-equilibrium configurational rearrangements in aging glassy systems. The description puts stringent requirements on the geometry of the metastable…

Statistical Mechanics · Physics 2009-11-10 Paolo Sibani , Jesper Dall

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

We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra \textit{et al.} Sci. Rep. srep00469 (2012)]. For realistic activity distributions with a power-law…

Statistical Mechanics · Physics 2014-11-18 Angélica S. Mata , Romualdo Pastor-Satorras

The applicability to dense hard sphere colloidal suspensions of a general coarse-graining approach called Record Dynamics (RD) is tested by extensive molecular dynamics simulations. We reproduce known results as logarithmic diffusion and…

Statistical Mechanics · Physics 2020-06-18 Paolo Sibani , Carsten Svaneborg

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