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Idealized glass transitions are discussed within a novel mode-coupling theory (TMCT) proposed by Tokuyama(Physica A 395,31(2014)). This is done in order to identify common grounds with and differences to the conventional mode-coupling…

Statistical Mechanics · Physics 2015-04-23 Wolfgang Götze , Rolf Schilling

The low-temperature generalization of the mode-coupling equations corresponds to the dynamics of mean-field disordered models in the glassy phase. The system never achieves equilibrium, preserving the memory of the time elapsed after the…

Disordered Systems and Neural Networks · Physics 2009-10-28 Leticia F. Cugliandolo , Jorge Kurchan

The random first order transition theory of the dynamics of supercooled liquids is extended to treat aging phenomena in nonequilibrium structural glasses. A reformulation of the idea of ``entropic droplets'' in terms of libraries of local…

Soft Condensed Matter · Physics 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

Recently we have used a cellular automata model which describes the dynamics of a multi-connected network to reproduce the refractory behavior and aging effects obtained in immunization experiments performed with mice when subjected to…

Statistical Mechanics · Physics 2007-05-23 Mauro Copelli , Rita M. Zorzenon dos Santos , Daniel A. Stariolo

In this paper we study the critical behaviour of the fully-connected p-colours Potts model at the dynamical transition. In the framework of Mode Coupling Theory (MCT), the time autocorrelation function displays a two step relaxation, with…

Disordered Systems and Neural Networks · Physics 2012-06-20 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

We review recent theoretical progress on glassy dynamics, with special emphasis on the importance and universality of the ``aging regime'', which is relevant to many experimental situations. The three main subjects which we address are: (i)…

Disordered Systems and Neural Networks · Physics 2008-02-03 Jean-Philippe Bouchaud , Leticia F. Cugliandolo , Jorge Kurchan , Marc Mezard

A model is proposed that considers aging and rejuvenation in a soft glassy material as respectively a decrease and an increase in free energy. The aging term is weighted by inverse of characteristic relaxation time suggesting greater…

Soft Condensed Matter · Physics 2015-02-25 Yogesh M. Joshi

Mode-coupling theory (MCT) constitutes one of the few first-principles-based approaches to describe the physics of the glass transition, but the theory's inherent approximations compromise its accuracy in the activated glassy regime. Here…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

The mode-coupling theory of the glass transition (MCT) has been at the forefront of fundamental glass research for decades, yet the theory's underlying approximations remain obscure. Here we quantify and critically assess the effect of each…

Statistical Mechanics · Physics 2023-11-29 I. Pihlajamaa , V. E. Debets , C. C. L. Laudicina , L. M. C. Janssen

Understanding and controlling physical aging, i.e. the spontaneous temporal evolution of out-of-equilibrium systems, represents one of the greatest tasks in material science. Recent studies have revealed the existence of a complex atomic…

Materials Science · Physics 2016-02-17 V. M. Giordano , B. Ruta

We investigate the properties of a class of mode-coupling equations for the glass transition where the density mode decays into multiple relaxation channels. We prove the existence and uniqueness of the solutions for Newtonian as well as…

Soft Condensed Matter · Physics 2014-01-08 Simon Lang , Rolf Schilling , Thomas Franosch

We use X-Ray Photon Correlation Spectroscopy to investigate the structural relaxation process in a metallic glass on the atomic length scale. We report evidence for a dynamical crossover between the supercooled liquid phase and the…

Soft Condensed Matter · Physics 2015-06-11 B. Ruta , Y. Chushkin , G. Monaco , L. Cipelletti , E. Pineda , P. Bruna , V. M. Giordano , M. Gonzalez-Silveira

We present a mode-coupling theory (MCT) for the high-density dynamics of two-dimensional spherical active Brownian particles (ABP). The theory is based on the integration-through-transients (ITT) formalism and hence provides a starting…

Soft Condensed Matter · Physics 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann

Upon cooling, glass-forming liquids experience a two-step relaxation associated to the cage rattling and the escape from the cage, and the following decoupling between the \b{eta}- and the {\alpha}-relaxations. The found decoupling…

Disordered Systems and Neural Networks · Physics 2017-06-07 P. Luo , P. Wen , H. Y. Bai , B. Ruta , W. H. Wang

Aging in a two-dimensional Ising spin model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. The behaviour of the autocorrelation function $C(t,t_w)$ is…

Statistical Mechanics · Physics 2009-10-31 Julio H. Toloza , Francisco A. Tamarit , Sergio A. Cannas

Generalized mode-coupling theory (GMCT) constitutes a systematically correctable, first-principles theory to study the dynamics of supercooled liquids and the glass transition. It is a hierarchical framework that, through the incorporation…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

It is widely believed that the emergence of slow glassy dynamics is encoded in a material's microstructure. First-principles theory [mode-coupling theory (MCT)] is able to predict the dramatic slowdown of the dynamics from only static…

The equations of the mode-coupling theory (MCT) for ideal liquid-glass transitions are used for a discussion of the evolution of the density-fluctuation spectra of glass-forming systems for frequencies within the dynamical window between…

Soft Condensed Matter · Physics 2015-06-25 W. Gotze , M. R. Mayr

Using molecular dynamics computer simulations we investigate the out-of-equilibrium dynamics of a Lennard-Jones system after a quench from a high temperature to one below the glass transition temperature. By studying the radial distribution…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat , Francesco Sciortino , Piero Tartaglia

Linear response functions of aging systems are routinely interpreted using the scaling variable $t_{\rm obs}/t_{\rm w}^\mu$,where $t_{\rm w}$ is the time at which the field conjugated to the response is turned on or off, and where $t_{\rm…

Statistical Mechanics · Physics 2011-01-10 Paolo Sibani , Gregory G. Kenning