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We propose that the properties of glass transition can be understood on the basis of elastic waves. Elastic waves originating from atomic jumps in a liquid propagate local expansion due to the anharmonicity of interatomic potential. This…

Disordered Systems and Neural Networks · Physics 2015-05-13 Kostya Trachenko , V. V. Brazhkin

We propose that the origin of the Vogel-Fulcher-Tammann law is the increase of the range of elastic interaction between local relaxation events in a liquid. In this picture, we discuss the origin of cooperativity of relaxation, the absence…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kostya Trachenko

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

In stark contrast with the conventional understanding of the glass transition, where the transition from glass to liquid appears as a dynamic process where atoms/molecules cooperatively relax into the equilibrium phase, we experimentally…

Disordered Systems and Neural Networks · Physics 2023-01-10 Ana Vila-Costa , Marta Gonzalez-Silveira , Cristian Rodríguez-Tinoco , Marta Rodríguez-López , Javier Rodríguez-Viejo

The most puzzling aspect of the glass transition observed in laboratory is an apparent decoupling of dynamics from structure. In this paper we recount the implication of various theories of glass transition for the static correlation length…

Disordered Systems and Neural Networks · Physics 2017-02-08 S. Davatolhagh

By analyzing the experimental data for various glass-forming liquids and polymers, we find that non-exponentiality $\beta$ and the relaxation time $\tau$ are uniquely related: $\log(\tau)$ is an approximately linear function of $1/\beta$,…

Disordered Systems and Neural Networks · Physics 2008-07-15 K. Trachenko , C. M. Roland , R. Casalini

Despite the use of glasses for thousands of years, the nature of the glass transition is still mysterious. On approaching the glass transition, the growth of dynamic heterogeneity has long been thought to play a key role in explaining the…

Soft Condensed Matter · Physics 2018-03-23 Lijin Wang , Ning Xu , W. H. Wang , Pengfei Guan

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

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

The dramatic slowdown of dynamics in supercooled liquids approaching the glass transition remains one of the central unresolved problems in condensed matter physics. We review approaches that attribute this slowdown to growing thermodynamic…

Soft Condensed Matter · Physics 2026-03-06 Massimo Pica Ciamarra , Jeppe C. Dyre , Edan Lerner , Matthieu Wyart

The steep increase of the relaxation time of glass forming liquids upon cooling is traditionally ascribed to an impending entropy crisis: since the system has "nowhere to go", dynamics must come to a halt. This classic argument, due to Adam…

Disordered Systems and Neural Networks · Physics 2024-02-23 Jean-Philippe Bouchaud

Glass-forming liquids have only a modest tendency to crystallize and hence their dynamics can be studied even below the melting temperature. The relaxation dynamics of most of these liquids shows at a temperature $T_c$, somewhat above the…

Soft Condensed Matter · Physics 2025-01-17 Francesco Rusciano , Raffaele Pastore , Francesco Greco , Walter Kob

We study the role of elasticity-induced facilitation on the dynamics of glass-forming liquids by a coarse-grained two-dimensional model in which local relaxation events, taking place by thermal activation, can trigger new relaxations by…

Disordered Systems and Neural Networks · Physics 2023-04-05 Misaki Ozawa , Giulio Biroli

The principal theme of this paper is that anomalously slow, super-Arrhenius relaxations in glassy materials may be activated processes involving chains of molecular displacements. As pointed out in a preceding paper with A. Lemaitre, the…

Materials Science · Physics 2009-11-11 J. S. Langer

A microscopically motivated theory of glassy dynamics based on an underlying random first order transition is developed to explain the magnitude of free energy barriers for glassy relaxation. A variety of empirical correlations embodied in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

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

A theory for the non-local stress in liquids captures the crossover from viscous to elastic correlations upon supercooling. It explains the emergence of long-ranged stress fields in glass which originate from the coupling of shear stress to…

Soft Condensed Matter · Physics 2022-05-03 Annette Zippelius , Matthias Fuchs

An alternative scenario for the glass transition based on the cooperative nature of nucleation processes and the role of entropic effects is presented. The new ingredient is to relate the dissipation during the relaxation process to the…

Statistical Mechanics · Physics 2007-05-23 Andrea Crisanti , Felix Ritort

Extensive computer simulations are performed for a few model glass-forming liquids in both two and three dimensions to study their dynamics when a randomly chosen fraction of particles are frozen in their equilibrium positions. For all the…

Statistical Mechanics · Physics 2016-08-03 Saurish Chakrabarty , Rajsekhar Das , Smarajit Karmakar , Chandan Dasgupta

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
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