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We propose a new class of phenomenological models for dynamic glass transitions. The system consists of an ensemble of mesoscopic regions to which local energies are allocated. At each time step, a region is randomly chosen and a new local…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ivan Junier

We propose that the super-Arrhenius relaxation rates observed in glassy materials are determined by thermally nucleated rearrangements of increasing numbers of molecules at decreasing temperatures. In our model of this mechanism,…

Materials Science · Physics 2016-08-16 J. S. Langer , Anaël Lemaître

The phenomenology of glass-forming liquids is often described in terms of their underlying, high-dimensional potential energy surface. In particular, the statistics of stationary points sampled as a function of temperature provides useful…

Statistical Mechanics · Physics 2021-01-06 Masanari Shimada , Daniele Coslovich , Hideyuki Mizuno , Atsushi Ikeda

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

We investigate the thermodynamic properties of a single inertial probe driven into a nonequilibrium steady-state by random collisions with self-propelled active walkers. The probe and walkers are confined within a gravitational harmonic…

Statistical Mechanics · Physics 2026-01-13 Dima Boriskovsky , Rémi Goerlich , Benjamin Lindner , Yael Roichman

Molecular dynamics simulations are used to investigate the connection between thermal history and physical aging in polymer glasses, in particular the effects of a temperature square step. Measurements of two-time correlation functions show…

Soft Condensed Matter · Physics 2009-11-13 Mya Warren , Joerg Rottler

By means of Monte Carlo simulations on the three-dimensional Ising spin-glass model, we have studied aging phenomena with various temperature($T$)-change protocols. Particularly, a $T$-shift protocol, in which a system is first quenched to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

We introduce a solvable spherical model of coupled oscillators with fully random interactions and distributed natural frequencies. Using the dynamical mean-field theory, we derive self-consistent equations for the steady-state response and…

Disordered Systems and Neural Networks · Physics 2026-04-07 Harukuni Ikeda

We report a molecular dynamics simulation study of the properties of the potential energy landscape sampled by a system of water molecules during the process of generating a glass by cooling, and during the process of regenerating the…

Soft Condensed Matter · Physics 2009-11-10 Nicolas Giovambattista , H. Eugene Stanley , Francesco Sciortino

The systematic identification of temperature scales in supercooled liquids that are key to understanding those liquids' underlying glass properties, and the latter's formation-history dependence, is a challenging task. Here we study the…

Soft Condensed Matter · Physics 2021-01-05 Karina González-López , Edan Lerner

A model system with fast and slow processes is introduced. After integrating out the fast ones, the considered dynamics of the slow variables is exactly solvable. In statics the system undergoes a Kauzmann transition to a glassy state. The…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen

Physical aging is one of the non-equilibrium phenomena where physical properties change over time due to structural relaxation. Aging in spin glass systems has been explained by a trap model on the temperature-independent energy landscape.…

Statistical Mechanics · Physics 2025-09-08 Ayata Ueno , Tomoko Mizuguchi , Takashi Odagaki

This paper is a contribution to the understanding of the thermal properties of aging systems where statistically independent degrees of freedom with largely separated timescales are expected to coexist. Focusing on the prototypical case of…

Statistical Mechanics · Physics 2015-06-03 Federico Corberi , Giuseppe Gonnella , Antonio Piscitelli

We investigate the response of a system of hard spheres to two classes of perturbations over a range of densities spanning the fluid, crystalline, and glassy regimes within a molecular dynamics framework. Firstly, we consider the relaxation…

Statistical Mechanics · Physics 2025-09-04 Matthew Kafker , Xerxes D. Arsiwalla

The low temperature Monte Carlo dynamics of an ensemble of linear harmonic oscillators shows some entropic barriers related to the difficulty of finding the directions in configurational space which decrease the energy. This mechanism is…

Statistical Mechanics · Physics 2015-06-25 L. L. Bonilla , F. G. Padilla , F. Ritort

These lecture notes can be read in two ways. The first two Sections contain a review of the phenomenology of several physical systems with slow nonequilibrium dynamics. In the Conclusions we summarize the scenario derived from the solution…

Condensed Matter · Physics 2007-05-23 Leticia F. Cugliandolo

In this paper we introduce the generalized oscillator model (GOM) as a family of exactly solvable models useful to investigate theoretical aspects related to the statistical description of the aging state. GOMs are defined by a potential…

Statistical Mechanics · Physics 2007-05-23 F. Ritort

In molecular liquids such as water, time-delayed influences between microscopic or mesoscopic variables are typically probed using time-correlation functions, which are symmetric under detailed balance and therefore blind to dynamical…

Chemical Physics · Physics 2026-04-22 Leon Huet , Vittorio Del Tatto , Debarshi Banerjee , Alessandro Laio , Ali A. Hassanali

A fluctuation relation for aging systems is introduced, and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase space regions in a scenario of entropy-driven relaxation. The…

Statistical Mechanics · Physics 2013-04-18 A. Crisanti , M. Picco , F. Ritort

We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in d=4 and d=6 dimensions with +-J interactions. In particular, we focus our analysis on the scaling properties of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. A. Stariolo , M. A. Montemurro , F. A. Tamarit