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In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the…

Disordered Systems and Neural Networks · Physics 2012-07-09 YiFan Sun , Andrea Crisanti , Florent Krzakala , Luca Leuzzi , Lenka Zdeborová

We show that the fragility $m$, the steepness of the viscosity and relaxation time close to the vitrification, increases with the degree of elastic softening, i.e. the decrease of the elastic modulus with increasing temperature, in…

Statistical Mechanics · Physics 2015-09-02 F. Puosi , D. Leporini

We present a detailed study of the scaling behavior of correlations functions and AC susceptibility relaxations in the aging regime in three dimensional spin glasses. The agreement between simulations and experiments is excellent confirming…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Picco , F. Ricci-Tersenghi , F. Ritort

Temperature cycling is used to study of aging properties of PMMA dielectric constant. If a negative temperature cycle is applied during the aging time the relaxation dynamics is just delayed for a time equal to the cycle period. In contrast…

Condensed Matter · Physics 2007-05-23 L. Bellon , S. Ciliberto , C. Laroche

Using the potential energy landscape formalism we show that, in the temperature range in which the dynamics of a glass forming system is thermally activated, there exists a unique set of "basis glass states" each of which is confined to a…

Disordered Systems and Neural Networks · Physics 2019-07-25 Prabhat K. Gupta , Walter Kob

Using Monte Carlo simulations we show that the autocorrelation function $C(t)$ in the d=3 Ising model with a plaquette interaction has a stretched-exponential decay in a supercooled liquid phase. Such a decay characterizes also some…

Statistical Mechanics · Physics 2015-06-11 Adam Lipowski

We report a metadynamics simulation study of crystallization in a deep undercooled metallic glass-forming liquid by developing appropriate collective variables. Through a combined analysis of free energy surface (FES) and atomic-level…

Disordered Systems and Neural Networks · Physics 2020-02-25 Wen-Xiong Song , Yong Yang , Weihua Wang , Pengfei Guan

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

Using molecular dynamics calculations and the Voronoi tessellation, we study the evolution of the local structure of a soft-sphere glass versus temperature starting from the liquid phase at different quenching rates. This study is done for…

Disordered Systems and Neural Networks · Physics 2009-10-31 Philippe Jund , Remi Jullien

The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system…

Condensed Matter · Physics 2015-06-25 Heiko Rieger

The precipitation of a glass forming solute from solution is modelled using a lattice model previously introduced to study dissolution kinetics of amorphous materials. The model includes the enhancement of kinetics at the surface of a glass…

Soft Condensed Matter · Physics 2019-05-15 Ian Douglass , Peter Harrowell

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

Soft Condensed Matter · Physics 2013-01-04 Kang Kim , Shinji Saito

We report results of molecular dynamics simulations of a binary Lennard-Jones system at zero pressure in the undercooled liquid and glassy states. We first follow the evolution of diffusivity and dynamic heterogeneity with temperature and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. R. Schober

In this note we discuss metastability in a long-but-finite range disordered model for the glass transition. We show that relaxation is dominated by configuration belonging to metastable states and associate an in principle computable…

Statistical Mechanics · Physics 2009-11-11 Silvio Franz

Soft glassy materials are out of thermodynamic equilibrium and show time dependent slowing down of the relaxation dynamics. Under such situation these materials follow Boltzmann superposition principle only in the effective time domain,…

Soft Condensed Matter · Physics 2012-03-27 Rahul Gupta , Bharat Baldewa , Yogesh M. Joshi

We propose here a model for solidification of a liquid contents of an elastic bottle in a freezer. The main goal is to explain the occurrence of high stresses inside the bottle. As a by-product, we derive a formula for the undercooling…

Analysis of PDEs · Mathematics 2014-01-10 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

Recent experiments and simulations have revealed glassy features in the cytoplasm, living tissues as well as dense assemblies of self propelled colloids. This leads to a fundamental question: how do these non-equilibrium (active) amorphous…

Soft Condensed Matter · Physics 2020-11-18 Rituparno Mandal , Peter Sollich

The effect of magnetic anisotropy-axis alignment of individual nanoparticles on the collective aging behavior in the superspin glass state of a frozen ferrofluid has been investigated. The ferrofluid studied here consists of maghemite…

In this paper, we analyze the dynamics of the Coulomb Glass lattice model in three dimensions near a local equilibrium state by using mean-field approximations. We specifically focus on understanding the role of localization length ($\xi$)…

Disordered Systems and Neural Networks · Physics 2021-03-31 Preeti Bhandari , Vikas Malik , Deepak Kumar , Moshe Schechter

Using molecular dynamics computer simulations we investigate the aging dynamics of a gel. We start from a fractal structure generated by the DLCA-DEF algorithm, onto which we then impose an interaction potential consisting of a short-range…

Soft Condensed Matter · Physics 2008-12-19 M-A. Suarez , N. Kern , E. Pitard , W. Kob