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The existence of heterogeneity in the dynamics of supercooled liquids is believed to be one of the hallmarks of the glass transition. Intense research has been carried out in the past to understand the origin of this heterogeneity in…

Soft Condensed Matter · Physics 2020-07-01 Indrajit Tah , Smarajit Karmakar

We extend our statistical mechanical theory of the glass transition from examples consisting of point particles to molecular liquids with internal degrees of freedom. As before, the fundamental assertion is that super-cooled liquids are…

Statistical Mechanics · Physics 2012-07-31 Laurent Boué , H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

We give a brief introduction to the mode-coupling theory of the glass transition, a theory which was proposed a while ago to describe the dynamics of supercooled liquids. After presenting the basic equations of the theory, we review some of…

Statistical Mechanics · Physics 2008-02-03 W. Kob

We present molecular dynamics results for a two component, two-dimensional Lennard-Jones supercooled liquid near the glass transition. We find that the supercooled liquid is spatially heterogeneous and that there are long-lived clusters…

Disordered Systems and Neural Networks · Physics 2009-10-31 Gregory Johnson , Andrew I. Melcuk , Harvey Gould , W. Klein , Raymond D. Mountain

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth

Using an effective potential method, a replica formulism is set up for describing supercooled liquids near their glass transition. The resulting potential is equivalent to that for an Ising spin glass in a magnetic field. Results taken from…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Moore , J. Yeo

Key to resolving the scientific challenge of the glass transition is to understand the origin of the massive increase in viscosity of liquids cooled below their melting temperature (avoiding crystallisation). A number of competing and often…

Soft Condensed Matter · Physics 2018-09-12 C. Patrick Royall , Francesco Turci , Soichi Tatsumi , John Russo , Joshua Robinson

We provide here a brief perspective on the glass transition field. It is an assessment, written from the point of view of theory, of where the field is and where it seems to be heading. We first give an overview of the main phenomenological…

Statistical Mechanics · Physics 2015-06-15 Giulio Biroli , Juan P. Garrahan

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

Building on the recently derived inhomogeneous mode-coupling theory, we extend the generalised mode-coupling theory of supercooled liquids to inhomogeneous environments. This provides a first-principles-based, systematic and rigorous way of…

Statistical Mechanics · Physics 2023-01-11 Corentin C. L. Laudicina , Chengjie Luo , Kunimasa Miyazaki , Liesbeth M. C. Janssen

In this paper the phenomenon of dynamic heterogeneity in supercooled liquid systems is considered in terms of the recently proposed gauge theory of glass transition. The physical interpretation of the dynamic scaling is considered. It is…

Statistical Mechanics · Physics 2015-06-23 Mikhail Vasin

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

We introduce a coarse-grained model for atomic glass formers. Its elements are physically motivated local microscopic dynamical rules parameterized by observables. Results of the model are established and used to interpret the measured…

Statistical Mechanics · Physics 2009-11-10 Juan P. Garrahan , David Chandler

The physics of the glass transition and amorphous materials continues to attract the attention of a wide research community after decades of effort. Supercooled liquids and glasses have been studied numerically since the advent of molecular…

Statistical Mechanics · Physics 2023-02-09 Ludovic Berthier , David R. Reichman

A statistical analysis of the geometries of particle trajectories in the supercooled liquid state is reported. We examine two structurally different fragile glass-forming liquids simulated by molecular dynamics. In both liquids, the…

Soft Condensed Matter · Physics 2008-11-19 Tomas Oppelstrup , Mikhail Dzugutov

We study colloidal particle dynamics of a model glass system using confocal and fluorescence microscopy as the sample evolves from a hard-sphere glass to a liquid with attractive interparticle interactions. The transition from hard-sphere…

Soft Condensed Matter · Physics 2015-05-13 Andrzej Latka , Yilong Han , Ahmed M. Alsayed , Andrew B. Schofield , A. G. Yodh , Piotr Habdas

Many features of real granular fluids under rapid flow are exhibited as well by a system of smooth hard spheres with inelastic collisions. For such a system, it is tempting to apply standard methods of kinetic theory and hydrodynamics to…

Statistical Mechanics · Physics 2016-11-23 James W. Dufty

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

Materials Science · Physics 2009-11-13 Th. Voigtmann

The following properties are in the present literature associated with the behavior of super-cooled glass-forming liquids: faster than exponential growth of the relaxation time, dynamical heterogeneities, growing point-to-set correlation…

Statistical Mechanics · Physics 2011-01-25 Florent Krzakala , Lenka Zdeborová