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This paper systematically investigates the thermodynamic properties of classical oscillators under different statistical distributions, focusing on the behavior of uniform distribution, two-level distribution, gamma distribution, log-normal…

统计力学 · 物理学 2025-03-11 Huilin Wang

We review the field of the glass transition, glassy dynamics and aging from a statistical mechanics perspective. We give a brief introduction to the subject and explain the main phenomenology encountered in glassy systems, with a particular…

统计力学 · 物理学 2020-10-12 Francesco Arceri , François P. Landes , Ludovic Berthier , Giulio Biroli

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

统计力学 · 物理学 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

The aging regime of the trap model, observed for a temperature T below the glass transition temperature T_g, is a prototypical example of non-stationary out-of-equilibrium state. We characterize this state by evaluating its "distance to…

统计力学 · 物理学 2013-02-22 Eric Bertin

These lecture notes can be read in two ways. The first two Sections contain a review of the phenomenology of several physical systems with slow nonequilibrium dynamics. In the Conclusions we summarize the scenario derived from the solution…

凝聚态物理 · 物理学 2007-05-23 Leticia F. Cugliandolo

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

The nonexponential relaxation and aging inherent to complex dynamics manifested in a wide variety of dissipative systems is analyzed through a model of diffusion in phase space in the presence of a nonconservative force. The action of this…

统计力学 · 物理学 2009-11-11 A. Perez-Madrid

We present a detailed study of simple `tree' models for off equilibrium dynamics and aging in glassy systems. The simplest tree describes the landscape of a random energy model, whereas multifurcating trees occur in the solution of the…

凝聚态物理 · 物理学 2009-10-22 J-P. Bouchaud , D. S. Dean

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

统计力学 · 物理学 2009-11-07 Hui Yin , Bulbul Chakraborty

The microscopic dynamics of spontaneously aged and rejuvenated glassy Laponite is investigated through X-ray photon correlation spectroscopy. Two different behaviours of the intensity autocorrelation functions are observed depending on the…

软凝聚态物质 · 物理学 2023-09-06 Roberta Angelini , Barbara Ruzicka

We survey the recent mathematical results about aging in certain simple disordered models. We start by the Bouchaud trap model. We then survey the results obtained for simple models of spin-glass dynamics, like the REM (the Random Energy…

概率论 · 数学 2007-05-23 Gérard Ben-Arous

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,…

无序系统与神经网络 · 物理学 2009-11-03 Eric Vincent

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

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…

凝聚态物理 · 物理学 2009-10-22 Gabriele Migliorini , Felix Ritort

We study the Langevin dynamics of the standard random heteropolymer model by mapping the problem to a supersymmetric field theory using the Martin-Siggia-Rose formalism. The resulting model is solved non-perturbatively employing a Gaussian…

统计力学 · 物理学 2009-11-07 Zoran Konkoli , John Hertz , Silvio Franz

We study the dynamics of the SK model modified by a small non-hamiltonian perturbation. We study aging, and we find that on the time scales investigated by our numerical simulations it survives a small perturbation (and is destroyed by a…

无序系统与神经网络 · 物理学 2009-10-28 G. Iori , E. Marinari

Equilibrium is a rather ideal situation, the exception rather than the rule in Nature. Whenever the external or internal parameters of a physical system are varied its subsequent relaxation to equilibrium may be either impossible or take…

统计力学 · 物理学 2016-10-04 Leticia F. Cugliandolo

We study the nonequilibrium aging dynamics in a system of quasi-hard spheres at large density by means of computer simulations. We find that, after a sudden quench to large density, the relaxation time initially increases exponentially with…

统计力学 · 物理学 2010-10-01 Djamel El Masri , Ludovic Berthier , Luca Cipelletti

We analyze numerically the out-of-equilibrium relaxation dynamics of a long-range Hamiltonian system of $N$ fully coupled rotators. For a particular family of initial conditions, this system is known to enter a particular regime in which…

统计力学 · 物理学 2009-11-07 Marcelo A. Montemurro , Francisco A. Tamarit , Celia Anteneodo

The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

软凝聚态物质 · 物理学 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia