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Liquids relax extremely slowly upon approaching the glass state. One explanation is that an entropy crisis, due to the rarefaction of available states, makes it increasingly arduous to reach equilibrium in that regime. Validating this…

Statistical Mechanics · Physics 2017-11-08 Ludovic Berthier , Patrick Charbonneau , Daniele Coslovich , Andrea Ninarello , Misaki Ozawa , Sho Yaida

A theory is developed to calculate values of the potential energy barriers to structural relaxation in molecular glass formers from the data of static pair correlation function. The barrier height is shown to increase due to increase in…

Soft Condensed Matter · Physics 2019-03-13 Ankit Singh , Yashwant Singh

When the cooling rate $v$ is smaller than a certain material-dependent threshold, the glass transition temperature $T_g$ becomes to a certain degree the "material parameter" being nearly independent on the cooling rate. The common method to…

Chemical Physics · Physics 2020-11-25 N. M. Chtchelkatchev , R. E. Ryltsev , V. Ankudinov , V. N. Ryzhov , M. Apel , P. K. Galenko

We first present a comparative analysis of temperature evolution of the excess thermodynamic potentials (state functions), the enthalpy $\Delta H$, entropy $\Delta S$ and Gibbs free energy $\Delta \Phi$, determined for \textit{i})…

Disordered Systems and Neural Networks · Physics 2025-07-04 A. S. Makarov , R. A. Konchakov , N. P. Kobelev , V. A. Khonik

The glass transition of supercooled fluids is a particular challenge for computer simulation, because the (longest) relaxation times increase by about 15 decades upon approaching the transition temperature T_g. Brute-force molecular…

Statistical Mechanics · Physics 2007-05-23 Kurt Binder , Jörg Baschnagel , Walter Kob , Wolfgang Paul

We present a study of two model liquids with different interaction potentials, exhibiting similar structure but significantly different dynamics at low temperatures. By evaluating the configurational entropy, we show that the differences in…

Soft Condensed Matter · Physics 2015-07-02 Atreyee Banerjee , Shiladitya Sengupta , Srikanth Sastry , Sarika Maitra Bhattacharyya

We analyse numerically thermal fluctuations of the static overlap between equilibrium configurations in a glass-forming liquid approaching the glass transition. We find that the emergence of slow dynamics near the onset temperature…

Statistical Mechanics · Physics 2013-08-23 Ludovic Berthier

Temporal relaxation of density fluctuations in supercooled liquids near the glass transition occurs in multiple steps. The short-time $\beta$-relaxation is generally attributed to spatially local processes involving the rattling motion of a…

Statistical Mechanics · Physics 2016-03-02 Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At mean-field level this approach is consistent with the…

Statistical Mechanics · Physics 2014-09-05 Jeferson J. Arenzon , Antonio Coniglio , Annalisa Fierro , Mauro Sellitto

We compute the thermodynamic properties of the glass phase in a binary mixture of soft spheres. Our approach is a generalization to mixtures of the replica strategy, recently proposed by Mezard and Parisi, providing a first principle…

Condensed Matter · Physics 2009-10-31 Barbara Coluzzi , Marc Mezard , Giorgio Parisi , Paolo Verrocchio

Key aspects of glasses are controlled by the presence of excitations in which a group of particles can rearrange. Surprisingly, recent observations indicate that their density is dramatically reduced and their size decreases as the…

Soft Condensed Matter · Physics 2021-01-04 Wencheng Ji , Tom W. J. de Geus , Marko Popović , Elisabeth Agoritsas , Matthieu Wyart

When a liquid freezes, a change in the local atomic structure marks the transition to the crystal. When a liquid is cooled to form a glass, however, no noticeable structural change marks the glass transition. Indeed, characteristic features…

Soft Condensed Matter · Physics 2015-11-24 Samuel S. Schoenholz , Ekin D. Cubuk , Daniel M. Sussman , Efthimios Kaxiras , Andrea J Liu

In this paper we develop a method introduced by one of us to study metastable states in spin glasses. We consider a `potential function' defined as the free energy of a system at a given temperature $T$ constrained to have a fixed overlap…

Condensed Matter · Physics 2009-10-28 S. Franz , G. Parisi

We show that thermodynamic scaling can be derived by combining the Murnaghan equation of state (EOS) with the generalized entropy theory (GET) of glass formation. In our theory, thermodynamic scaling arises in the non-Arrhenius relaxation…

Soft Condensed Matter · Physics 2021-03-18 Jack F. Douglas , Wen-Sheng Xu

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Using a general model for the equilibrium dynamics of supercooled liquids, I compute from molecular properties the emergent length and time scales that govern the nonequilibrium relaxation behavior of amorphous ice prepared by rapid…

Statistical Mechanics · Physics 2015-06-18 David T. Limmer

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

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

While lot of measurements describe the relaxation dynamics of the liquid state, experimental data of the glass dynamics at high temperatures are much scarcer. We use ultrafast scanning calorimetry to expand the timescales of the glass to…

Mechanical relaxation behaviour of various natural volcanic glasses have been investigated in the temperature range RT-1200K using special low frequency flexure (f~0.63Hz) pendulum experiments. The rheological properties complex Young's…

Disordered Systems and Neural Networks · Physics 2007-05-23 Norman Wagner , Klaus Heide