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We investigate the Kovacs (or crossover) effect in facilitated $f$-spin models of glassy dynamics. Although the Kovacs hump shows a behavior qualitatively similar for all cases we have examined (irrespective of the facilitation parameter…

Soft Condensed Matter · Physics 2007-05-23 J. J. Arenzon , M. Sellitto

Memory effect reflects a system's ability to encode, retain and retrieve information about its past. Such effects are essentially an out-of-equilibrium phenomenon providing insight into the complex structural and dynamical behavior of the…

Soft Condensed Matter · Physics 2025-06-09 Maitri Mandal , Abhishek Ghadai , Rituparno Mandal , Sayantan Majumdar

This paper is an extended version of an article accepted for publication in Physical Review E. Besides its fundamental interest, the model that we investigate in this article is simple enough to be used as a basis for courses or tutorials…

Statistical Mechanics · Physics 2020-11-25 Michel Peyrard , Jean-Luc Garden

The Kovacs or crossover effect is one of the peculiar behaviours exhibited by glasses and other complex, slowly relaxing systems. Roughly it consists in the non-monotonic relaxation to its equilibrium value of a macroscopic property of a…

Statistical Mechanics · Physics 2010-04-20 A. Prados , J. J. Brey

We study the out-of-equilibrium fluctuation-dissipation (FD) relations in the low temperature, finite time, physical aging regime of two simple models with strong glass behaviour, the Fredrickson-Andersen model and the square-plaquette…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

In this note we revisit the Kovacs effect, concerning the way in which the volume of a glass-forming liquid, which has been driven out of equilibrium, changes with time while the system evolves towards a metastable state. The theoret- ical…

Soft Condensed Matter · Physics 2017-11-16 F. Aliotta , R. C. Ponterio , F. Saija , P. V. Giaquinta

The Kovacs effect is a remarkable feature of the ageing dynamics of glass forming liquids near the glass transition temperature. It consists in a non-monotonous evolution of the volume/enthalpy after a succession of two abrupt temperature…

Soft Condensed Matter · Physics 2021-10-20 Matteo Lulli , Chun-Shing Lee , Ling-Han Zhang , Hai-Yao Deng , Chi-Hang Lam

Glassy, nonexponential relaxations in globular proteins are typically attributed to conformational behaviors that are missing from intrinsically disordered proteins. Yet, we show that single molecules of a disordered-protein construct…

Soft Condensed Matter · Physics 2020-07-30 Ian L. Morgan , Ram Avinery , Gil Rahamim , Roy Beck , Omar A. Saleh

The Kovacs protocol, based on the temperature shift experiment originally conceived by A.J. Kovacs and applied on glassy polymers, is implemented in an exactly solvable model with facilitated dynamics. This model is based on interacting…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gerardo Aquino , Luca Leuzzi , Theo M. Nieuwenhuizen

While memory effects have been reported for dense enough disordered systems such as glasses, we show here by a combination of analytical and simulation techniques that they are also intrinsic to the dynamics of dilute granular gases. By…

Statistical Mechanics · Physics 2016-11-17 A. Prados , E. Trizac

We investigate the memory effect in a simple model for glassy relaxation, a trap model with a Gaussian density of states. In this model thermal equilibrium is reached at all finite temperatures and therefore we can consider jumps from low…

Soft Condensed Matter · Physics 2015-05-27 Gregor Diezemann , Andreas Heuer

The Kovacs protocol, based on the temperature shift experiment originally conceived by A.J. Kovacs for glassy polymers, is implemented in an exactly solvable dynamical model. This model is characterized by interacting fast and slow modes…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gerardo Aquino , Luca Leuzzi , Theo M. Nieuwenhuizen

We discuss the `memory effect' discovered in the 60's by Kovacs in temperature shift experiments on glassy polymers, where the volume (or energy) displays a non monotonous time behaviour. This effect is generic and is observed on a variety…

Disordered Systems and Neural Networks · Physics 2009-11-10 E. M. Bertin , J. -P. Bouchaud , J. -M. Drouffe , C. Godreche

his article extends the fluctuation-dissipation analysis to generic complex fluids in confined geometries and to all the cases the hydromechanic fluid-interaction kernels may depend on the particle position. This represents a completely new…

Statistical Mechanics · Physics 2024-09-13 Massimiliano Giona , Giuseppe Procopo , Chiara Pezzotti

We study numerically the Kawasaki dynamics of the 2d Ising model. At large time we recover the coarsening growth as l(t) ~ t^(1/3). At shorter time however, the system enters a metastable glassy regime that displays an extremely slow growth…

Statistical Mechanics · Physics 2007-05-23 Florent Krzakala

The relaxation dynamics of glass-forming systems shows a multitude of features that are absent in normal liquids, such as non-exponential relaxation and a strong temperature-dependence of the relaxation time. Connecting these dynamic…

Disordered Systems and Neural Networks · Physics 2019-04-03 Zhen Wei Wu , Walter Kob , Wei-Hua Wang , Limei Xu

We analyze the so-called Kovacs effect in the one-dimensional Ising model with Glauber dynamics. We consider small enough temperature jumps, for which a linear response theory has been recently derived. Within this theory, the Kovacs hump…

Statistical Mechanics · Physics 2016-11-17 M. Ruiz-García , A. Prados

We measure the static frictional resistance and the real area of contact between two solid blocks subjected to a normal load. We show that following a two-step change in the normal load the system exhibits nonmonotonic aging and memory…

Soft Condensed Matter · Physics 2019-08-06 Sam Dillavou , Shmuel M. Rubinstein

Materials driven far from equilibrium can encode memories of past deformations through long-lived structural reorganisations. Such memory effects-reflecting parameters such as deformation direction, magnitude, and duration have been widely…

Soft Condensed Matter · Physics 2025-12-16 Abhishek Ghadai , Sayantan Majumdar

The accuracy of a model to describe the horizontal dynamics of a confined quasi-two-dimensional system of inelastic hard spheres is discussed by comparing its predictions for the relaxation of the temperature in an homogenous system with…

Statistical Mechanics · Physics 2015-06-19 J. Javier Brey , M. I. García de Soria , P. Maynar , V. Buzón
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