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We revisit the issue of relaxation to thermal equilibrium in the so-called "sheet model", i.e., particles in one dimension interacting by attractive forces independent of their separation. We show that this relaxation may be very clearly…

Statistical Mechanics · Physics 2010-11-03 Michael Joyce , Tirawut Worrakitpoonpon

Performing molecular dynamics simulations for all-atom models, we characterize the conformational and structural relaxations of poly(ethylene oxide) and poly(propylene oxide) melts. The temperature dependence of these relaxation processes…

Soft Condensed Matter · Physics 2009-11-13 Michael Vogel

Glasses derive their functional properties from complex relaxation dynamics that remain enigmatic under extreme conditions. While the temperature dependence of these relaxation processes is well-established, their behavior under…

We study thermally activated, low temperature equilibrium dynamics of elastic systems pinned by disorder using one loop functional renormalization group (FRG). Through a series of increasingly complete approximations, we investigate how the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leon Balents , Pierre Le Doussal

Amorphous glass-forming polymers exhibit multiple relaxation processes, including the structural {\alpha}-relaxation associated with the glass transition and faster secondary relaxations that typically follow Arrhenius behavior. Recently, a…

Soft Condensed Matter · Physics 2026-03-10 Valeriy V. Ginzburg , Oleg V. Gendelman , Simone Napolitano , Riccardo Casalini , Alessio Zaccone

Strong changes in bulk properties, such as modulus and viscosity, are observed near the glass transition temperature, T_{g}, of amorphous materials. For more than a century, intense efforts have been made to define a microscopic origin for…

Disordered Systems and Neural Networks · Physics 2024-04-24 Joseph B. Schlenoff , Khalil Akkaoui

Using two extremely different models of glass formers in two and three dimensions we demonstrate how to encode the subtle changes in the geometric rearrangement of particles during the scenario of the glass transition. We construct a…

Statistical Mechanics · Physics 2015-05-13 Laurent Boue , Edan Lerner , Itamar Procaccia , Jacques Zylberg

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

A model is derived for the viscoelastic response of glasses at isothermal uniaxial deformation with small strains. A glass is treated as an ensemble of relaxing units with various activation energies for rearrangement. With reference to the…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari-Kurchan glass model. The tree-like structure of particle interactions forbids both non-trivial structural motifs and the emergence of a complex free-energy…

Disordered Systems and Neural Networks · Physics 2022-06-27 Yoshihiko Nishikawa , Atsushi Ikeda , Ludovic Berthier

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

The diverging relaxation time in approaching hypothetical ideal glass transition is a subject of hot debate. In the current paper we demonstrate, how diverging relaxation time and turning excess entropy to zero (which is an essence of…

Soft Condensed Matter · Physics 2024-10-25 M. V. Kondrin , Y. B. Lebed , A. A. Pronin , V. V. Brazhkin

A detailed numerical study is made of relaxation at equilibrium in the Sherrington-Kirkpatrick Ising spin glass model, at and above the critical temperature Tg. The data show a long time stretched exponential relaxation q(t) ~…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alain Billoire , I. A. Campbell

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 recently discovered scaling law for the relaxation times, tau=f(T,V^g), where T is temperature and V the specific volume, is derived by a revision of the entropy model of the glass transition dynamics originally proposed by Avramov [I.…

Soft Condensed Matter · Physics 2009-11-11 R. Casalini , U. Mohanty , C. M. Roland

We investigate the dynamical response of glass-forming systems composed of topologically constrained ring polymers subjected to an instantaneous thermal quench, employing large-scale molecular dynamics simulations. We demonstrate that the…

Soft Condensed Matter · Physics 2025-04-04 Arabinda Behera , Projesh Roy , Pinaki Chaudhuri , Satyavani Vemparala

We propose that an onset of glass transition can be defined as the point at which a supercooled liquid acquires the stress relaxation mechanism of a solid glass. We translate this condition into the rate equation for local relaxation…

Materials Science · Physics 2009-11-11 Kostya Trachenko

Typical properties of glassy materials are shown to be captured by a mean-field free-volume theory. Relaxation processes are supposed to be free-volume activated, and different entropy barriers are associated with density relaxation and…

Condensed Matter · Physics 2016-08-16 Anaël Lemaître

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

We study the nature of the glass transition by cooling model atomistic glass formers at constant rate from a temperature above the onset of glassy dynamics to $T=0$. Motivated by the East model, a kinetically constrained lattice model with…

Statistical Mechanics · Physics 2018-04-16 Alexander Hudson , Kranthi K. Mandadapu