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相关论文: Aging and diffusion in low dimensional environment…

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In the past few years systems with slow dynamics have attracted considerable theoretical and experimental interest. Ageing phenomena are observed during this ever-lasting non-equilibrium evolution. A simple instance of such a behaviour is…

统计力学 · 物理学 2011-07-19 Pasquale Calabrese , Andrea Gambassi

The far-from-equilibrium dynamics of glassy systems share important phenomenological traits. A transition is generally observed from a time-homogeneous dynamical regime to an aging regime where physical changes occur intermittently and, on…

软凝聚态物质 · 物理学 2015-03-13 S. Boettcher , P. Sibani

We consider continuous time random walks (CTRW) and discuss situations pertinent to aging. These correspond to the case when the initial state of the system is known not at preparation (at $t=0$) but at the later instant of time $t_1>0$…

统计力学 · 物理学 2007-10-16 V. Yu. Zaburdaev , I. M. Sokolov

In this work, the out-of-equilibrium dynamics of the Kardar-Parisi-Zhang equation in (1+1) dimensions is studied by means of numerical simulations, focussing on the two-times evolution of an interface in the absence of any disordered…

统计力学 · 物理学 2009-11-13 Sebastian Bustingorry

We demonstrate aging behavior in a simple non-linear system. Our model is a chaotic map which generates deterministically sub-diffusion. Asymptotic behaviors of the diffusion process are described using aging continuous time random walks,…

统计力学 · 物理学 2007-05-23 E. Barkai

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…

无序系统与神经网络 · 物理学 2015-09-15 Nima H. Siboni , Dierk Raabe , Fathollah Varnik

We corroborate the idea of a close connection between replica symmetry breaking and aging in the linear response function for a large class of finite-dimensional systems with short-range interactions. In these system, characterized by a…

统计力学 · 物理学 2019-08-17 Silvio Franz , Marc Mézard , Giorgio Parisi , Luca Peliti

The mean-field dynamics of a particle in a random, but short range correlated potential, offers the opportunity of observing both aging and driven stationary regimes. Using a geometrical approach previously introduced by the author, we…

凝聚态物理 · 物理学 2009-10-31 Fabrice Thalmann

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…

无序系统与神经网络 · 物理学 2009-11-07 E. M. Bertin , J. -P. Bouchaud

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

凝聚态物理 · 物理学 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

Reaction-diffusion systems with reversible reactions generically display power-law relaxation towards chemical equilibrium. In this work we investigate through numerical simulations aging processes that characterize the non-equilibrium…

统计力学 · 物理学 2011-06-10 Nasrin Afzal , Justin Waugh , Michel Pleimling

Continuous-time random walks are generalisations of random walks frequently used to account for the consistent observations that many molecules in living cells undergo anomalous diffusion, i.e. subdiffusion. Here, we describe the…

偏微分方程分析 · 数学 2015-03-31 Hugues Berry , Thomas Lepoutre , Álvaro Mateos González

The experimental time scale dependence of thermodynamic relations in out-of-equilibrium systems with aging phenomena is investigated theoretically by using only aging properties of the two-time correlation functions and the generalized…

无序系统与神经网络 · 物理学 2009-10-31 Mitsuhiro Kawasaki

We report new results about the two-time dynamics of an anomalously diffusing classical particle, as described by the generalized Langevin equation with a frequency-dependent noise and the associated friction. The noise is defined by its…

统计力学 · 物理学 2009-11-07 Noelle Pottier

We study in details the dynamics of the one dimensional symmetric trap model, via a real-space renormalization procedure which becomes exact in the limit of zero temperature. In this limit, the diffusion front in each sample consists in two…

凝聚态物理 · 物理学 2009-11-10 Cecile Monthus

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior…

无序系统与神经网络 · 物理学 2016-08-31 Hajime Yoshino

We investigate the low-temperature dynamics of a simple stochastic model, introduced recently in the context of the physics of glasses. The slowest characteristic time at equilibrium diverges exponentially at low temperature. On smaller…

统计力学 · 物理学 2009-10-30 C Godreche , J M Luck

Aging is a universal consequence of life, yet researchers have identified no universal theme. This manuscript considers aging from the perspective of entropy, wherein things fall apart. We first examine biological information change as a…

种群与进化 · 定量生物学 2026-04-13 Stephan Baehr , Hans Baehr

Consider a particle diffusing in a confined volume which is divided into two equal regions. In one region the diffusion coefficient is twice the value of the diffusion coefficient in the other region. Will the particle spend equal…

动力系统 · 数学 2015-06-04 P. F. Tupper , Xin Yang

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving…

统计力学 · 物理学 2007-05-23 Malte Henkel