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A derivation of the Fluctuation-Dissipation Theorem for the microcanonical ensemble is presented using linear response theory. The theorem is stated as a relation between the frequency spectra of the symmetric correlation and response…

Statistical Mechanics · Physics 2008-09-12 Marcus V. S. Bonança

We numerically analyze the statistics of the heat flow between an aging system and its thermal bath, following a method proposed and tested for a spin-glass model in a recent Letter (P. Sibani and H.J. Jensen, Europhys. Lett.69, 563…

Statistical Mechanics · Physics 2009-11-11 Paolo Sibani

We present a new set of electrical field effect measurements on granular aluminium insulating thin films. We have explored how the conductance relaxations induced by gate voltage changes depend on the age of the system, namely the time…

Disordered Systems and Neural Networks · Physics 2015-06-05 Julien Delahaye , Thierry Grenet

Colloidal gel aging is investigated using very long runs of brownian dynamics simulations. The Asakura Oosawa description of the depletion interaction is used to model a simple colloid polymer mixture. Several regimes are identified during…

Soft Condensed Matter · Physics 2009-11-07 Rodolphe J. M. d'Arjuzon , William Frith , John R. Melrose

The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

Statistical Mechanics · Physics 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

Trap models are intuitively appealing and often solvable models of glassy dynamics. In particular, they have been used to study aging and the resulting out-of-equilibrium fluctuation-dissipation relations between correlations and response…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Sollich

The non-equilibrium dynamics of a system that is located in the vicinity of a quantum critical point is affected by the critical slowing down of order-parameter correlations with the potential for novel out-of-equilibrium universality.…

Strongly Correlated Electrons · Physics 2015-09-16 Pia Gagel , Peter P. Orth , Jörg Schmalian

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

Statistical Mechanics · Physics 2011-05-06 George L. Daquila , Uwe C. Tauber

The long-time dynamics of the $d$-dimensional spherical model with a non-conserved order parameter and quenched from an initial state with long-range correlations is studied through the exact calculation of the two-time autocorrelation and…

Statistical Mechanics · Physics 2008-11-26 Alan Picone , Malte Henkel

We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We show that these systems are aging in the long-time regime, i.e., their two-time autocorrelation and response functions and…

Statistical Mechanics · Physics 2009-10-31 C. Godreche , J. M. Luck

An unexpected dichotomic long time aging behaviour is observed in a glassy colloidal clay suspension investigated by X-Ray Photon Correlation Spectroscopy and Dynamic Light Scattering. In the long time aging regime the intensity…

Soft Condensed Matter · Physics 2023-08-29 Roberta Angelini , Laura Zulian , Andrei Fluerasu , Anders Madsen , Giancarlo Ruocco , Barbara Ruzicka

In the renewal processes, if the waiting time probability density function is a tempered power-law distribution, then the process displays a transition dynamics; and the transition time depends on the parameter $\lambda$ of the exponential…

Statistics Theory · Mathematics 2016-06-21 Weihua Deng , Wanli Wang , Xinchun Tian , Yujiang Wu

The dynamic behaviour of glassy materials displays strong nonequilibrium effects, such as ageing in simple protocols, memory, rejuvenation and Kovacs effects in more elaborated experiments. We show that this phenomenology may be easily…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Peter C. W. Holdsworth

We study the behavior of two-time correlation functions at late times for finite system sizes considering observables whose (one-point) average value does not depend on energy. In the long time limit, we show that such correlation functions…

Statistical Mechanics · Physics 2025-08-20 Oscar Bouverot-Dupuis , Silvia Pappalardi , Jorge Kurchan , Anatoli Polkovnikov , Laura Foini

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

Statistical Mechanics · Physics 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

We focus on the slow relaxations observed in the conductance of disordered insulators at low temperature (especially granular aluminum films). They manifest themselves as a temporal logarithmic decrease of the conductance after a quench…

Disordered Systems and Neural Networks · Physics 2015-06-05 Thierry Grenet , Julien Delahaye , M. C. Cheynet

Many systems in nature, glasses, interfaces and fractures being some examples, cannot equilibrate with their environment, which gives rise to novel and surprising behaviour such as memory effects, ageing and nonlinear dynamics. Unlike their…

Superconductivity · Physics 2015-05-13 Xu Du , Guohong Li , Eva Y. Andrei , M. Greenblatt , P. Shuk

In many integrable models static (equal time) correlation functions of local observables after a quantum quench relax to stationary values, which are described by a generalized Gibbs ensemble (GGE). Here we establish that the same holds…

Statistical Mechanics · Physics 2012-12-19 Fabian H. L. Essler , Stefano Evangelisti , Maurizio Fagotti

We examine the density-density correlation function in a model recently proposed to study the effect of entropy barriers in glassy dynamics. We find that the relaxation proceeds in two steps with a fast beta process followed by alpha…

Condensed Matter · Physics 2009-10-28 Silvio Franz , Felix Ritort

Aging to the equilibrium liquid state of organic glasses is studied. The glasses were prepared by cooling the liquid to temperatures just below the glass transition. Aging following a temperature jump was studied by measuring the dielectric…

Soft Condensed Matter · Physics 2013-01-29 Tina Hecksher , Niels Boye Olsen , Kristine Niss , Jeppe C. Dyre
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