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We derive exact expressions for a number of aging functions that are scaling limits of non-equilibrium correlations, R(tw,tw+t) as tw --> infinity with t/tw --> theta, in the 1D homogenous q-state Potts model for all q with T=0 dynamics…

Disordered Systems and Neural Networks · Physics 2009-11-07 L. R. Fontes , M. Isopi , C. M. Newman , D. L. Stein

Event correlation between aftershocks in the coherent noise model is studied by making use of natural time, which has recently been introduced in complex time-series analysis. It is found that the aging phenomenon and the associated scaling…

Statistical Mechanics · Physics 2009-11-10 Ugur Tirnakli , Sumiyoshi Abe

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

We present an analysis and discuss consequences of the strong correlations of the configurational parts of pressure and energy in their equilibrium fluctuations at fixed volume reported for simulations of several liquids in the companion…

Soft Condensed Matter · Physics 2009-11-13 Nicholas P. Bailey , Ulf R. Pedersen , Nicoletta Gnan , Thomas B. Schrøder , Jeppe C. Dyre

We study the time correlation function of a density field in two-dimensional driven diffusive systems within the framework of fluctuating hydrodynamics. It is found that the time correlation exhibits power-law behavior in an intermediate…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Michio Otsuki , Shin-ichi Sasa

Soft solids with tunable mechanical response are at the core of new material technologies, but a crucial limit for applications is their progressive aging over time, which dramatically affects their functionalities. The generally accepted…

Soft Condensed Matter · Physics 2017-08-02 Mehdi Bouzid , Jader Colombo , Lucas Vieira Barbosa , Emanuela Del Gado

In this paper we study the relaxation singularities of human motor system at aging. Our purpose is to examine the structure of force output variability as a function of human aging in the time and frequency domains. For analysis of…

Data Analysis, Statistics and Probability · Physics 2007-08-10 Renat M. Yulmetyev , David E. Valliancourt , Fail M. Gafarov , Sergey A. Demin , Oleg Yu. Panischev , Peter Hänggi

We study a one dimensional generalization of the exponential trap model using both numerical simulations and analytical approximations. We obtain the asymptotic shape of the average diffusion front in the sub-diffusive phase. Our central…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. M. Bertin , J. -P. Bouchaud

We investigate simultaneous effects of finite system size and global charge conservation on thermal fluctuations in the vicinity of a critical point. For that we consider a finite interacting system which exchanges particles with a finite…

We present results for the aging dynamics of a jammed 2D colloidal system obtained with molecular dynamics simulations. We performed extensive simulations to gather detailed statistics about rare rearrangement events. With a simple…

Soft Condensed Matter · Physics 2019-01-16 Dominic M. Robe , Stefan Boettcher

We study the off-equilibrium dynamics of a particle in a general $N$-dimensional random potential when $N \to \infty$. We demonstrate the existence of two asymptotic time regimes: {\it i.} stationary dynamics, {\it ii.} slow aging dynamics…

Condensed Matter · Physics 2009-10-28 Leticia F. Cugliandolo , Pierre Le Doussal

Disordered materials under an imposed forcing can display creep and aging effects, accompanied by intermittent, spatially heterogeneous dynamics. We propose a unifying microscopic description of these phenomena, based on the notion that as…

Disordered Systems and Neural Networks · Physics 2024-09-27 Daniel J. Korchinski , Dor Shohat , Yoav Lahini , Matthieu Wyart

We study the thermally assisted relaxation of a directed elastic line in a two dimensional quenched random potential by solving numerically the Edwards-Wilkinson equation and the Monte Carlo dynamics of a solid-on-solid lattice model. We…

Statistical Mechanics · Physics 2009-09-10 José Luis Iguain , Sebastian Bustingorry , Alejandro B. Kolton , Leticia F. Cugliandolo

We numerically exhibit strange scaling and temporal evolution of finite-size fluctuation in thermal equilibrium of a simple long-range interacting system. These phenomena are explained from the view point of existence of the Casimirs and…

Statistical Mechanics · Physics 2016-07-27 Yoshiyuki Y. Yamaguchi

The dynamics of disordered two-dimensional systems is much less understood than the dynamics of disordered chains, mainly due to the lack of appropriate numerical methods. We demonstrate that a single-trajectory version of the fermionic…

Statistical Mechanics · Physics 2024-09-20 Łukasz Iwanek , Marcin Mierzejewski , Anatoli Polkovnikov , Dries Sels , Adam S. Sajna

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

Statistical Mechanics · Physics 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

A fluctuation relation for aging systems is introduced, and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase space regions in a scenario of entropy-driven relaxation. The…

Statistical Mechanics · Physics 2013-04-18 A. Crisanti , M. Picco , F. Ritort

We study the evolution of dynamic fluctuations averaged over different space lengths and time scales to characterize spatially and temporally heterogeneous behavior of TIP4P/2005 water in liquid and supercooled states. Analysing a million…

We investigate, using numerical simulations and analytical arguments, a simple one dimensional model for the swelling or the collapse of a closed polymer chain of size N, representing the dynamical evolution of a polymer in a \Theta-solvent…

Condensed Matter · Physics 2009-10-31 E. Pitard , J. -P. Bouchaud

We study the first passage dynamics of an ageing stochastic process in the continuous time random walk (CTRW) framework. In such CTRW processes the test particle performs a random walk, in which successive steps are separated by random…

Statistical Mechanics · Physics 2015-04-08 Henning Krusemann , Aljaz Godec , Ralf Metzler
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