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Related papers: Crossover from Equilibration to Aging: (Non-equili…

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The behavior of a family of mean-field glass models is reviewed. The models are analyzed by means of a Langevin-based approach to the dynamics and a Replica theory computation of the thermodynamics. We focus on the phase diagram of a…

Disordered Systems and Neural Networks · Physics 2009-04-23 Luca Leuzzi

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the…

Statistical Mechanics · Physics 2015-10-07 Tommaso Rizzo , Thomas Voigtmann

The presence of dynamical heterogeneities, i.e. nanometer-scale regions containing molecules rearranging cooperatively at very different rates compared to the bulk, is increasingly being recognized as crucial in our understanding of the…

Disordered Systems and Neural Networks · Physics 2015-06-25 Horacio E. Castillo , Azita Parsaeian

The non-equilibrium self-consistent generalized Langevin equation theory of irreversible processes in liquids is extended to describe the positional and orientational thermal fluctuations of the instantaneous local concentration profile…

Soft Condensed Matter · Physics 2016-05-17 E. C. Cortes-Morales , L. F. Elizondo-Aguilera , M. Medina-Noyola

A major stumbling block for statistical physics and materials science has been the lack of a uni- versal principle that allows us to understand and predict elementary structural, morphological, and dynamical properties of non-equilibrium…

Pinning particles at random in supercooled liquids is a promising route to make substantial progress on the glass transition problem. Here we develop a mean-field theory by studying the equilibrium and non-equilibrium dynamics of the…

Disordered Systems and Neural Networks · Physics 2012-12-18 Chiara Cammarota , Giulio Biroli

The idea that a thermodynamic glass transition of some sort underlies the observed glass formation has been highly debated since Kauzmann first stressed the hypothetical entropy crisis that could take place if one were able to equilibrate…

Disordered Systems and Neural Networks · Physics 2022-09-23 Chiara Cammarota , Misaki Ozawa , Gilles Tarjus

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

Understanding glass formation is a challenge because the existence of a true glass state, distinct from liquid and solid, remains elusive: Glasses are liquids that have become too viscous to flow. An old idea, as yet unproven…

As shown by early studies on mean-field models of the glass transition, the geometrical features of the energy landscape provide fundamental information on the dynamical transition at the Mode-Coupling temperature $T_d$. We show that active…

Statistical Mechanics · Physics 2021-11-10 Giacomo Gradenigo , Matteo Paoluzzi

We study via RG, numerics, exact bounds and qualitative arguments the equilibrium Gibbs measure of a particle in a $d$-dimensional gaussian random potential with {\it translationally invariant logarithmic} spatial correlations. We show that…

Condensed Matter · Physics 2014-10-13 David Carpentier , Pierre Le Doussal

Dense liquids gradually transform into non-equilibrium amorphous solids as they pass through the experimental glass transition. Experimentally, ergodicity is lost because measurements are conducted within a finite time window. More than…

Soft Condensed Matter · Physics 2025-07-08 Gerhard Jung , Misaki Ozawa , Giulio Biroli , Ludovic Berthier

We show that a glass transition, signaled by a peak in the specific heat vs. temperature, can occur because a glassy system that shows no signs of aging progresses so slowly through the energy landscape that the time needed to obtain an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Clare C. Yu , Herve M. Carruzzo

Experiments performed on a wide range of glassy materials display many interesting phenomena, such as aging behavior. In recent years, a large body of experiments probed this nonequilibrium glassy dynamics through elaborate protocols, in…

Statistical Mechanics · Physics 2007-05-23 Ludovic Berthier , Virgile Viasnoff , Olivia White , Vladimir Orlyanchik , Florent Krzakala

We propose a scenario for the glass transition based on the cooperative nature of nucleation processes and entropic effects. The main point is the relation between the off-equilibrium energy dissipation and nucleation processes in…

Soft Condensed Matter · Physics 2009-11-07 A. Crisanti , F. Ritort

The problems of the intermediate-range atomic structure of glasses and of the mechanism for the glass transition are approached from the low-temperature end in terms of a scenario for the atomic organization that justifies the use of an…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Giancarlo Jug

The glass transition is considered as a phase transition in the system of topologically protected excitations in matter structure. The critical behavior of the system is considered both in statics and dynamics cases. It is shown in the…

Statistical Mechanics · Physics 2022-04-20 Mikail Vasin

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…

Soft Condensed Matter · Physics 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

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…

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…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty