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In the mode coupling theory of the liquid to glass transition the long time structural relaxation follows from equations solely determined by equilibrium structural parameters. The present extension of these structural relaxation equations…

Soft Condensed Matter · Physics 2017-02-08 M. Fuchs , Th. Voigtmann

The earlier paper of this same title demonstrated a collapse of relaxation data of fragile supercooled glass forming liquids [\textit{J. Phys. Chem. B} \textbf{113}, 5563-5567 (2009)]. For temperature $T$ below that of the onset to…

Statistical Mechanics · Physics 2014-07-31 Yael S. Elmatad , David Chandler , Juan P. Garrahan

We assess the validity of "microscopic" approaches of glass-forming liquids based on the sole k nowledge of the static pair density correlations. To do so we apply them to a benchmark provided by two liquid models that share very similar…

Statistical Mechanics · Physics 2011-10-10 Ludovic Berthier , Gilles Tarjus

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

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

Theoretical approaches are formulated to investigate the molecular mobility under various cooling rates of amorphous drugs. We describe the structural relaxation of a tagged molecule as a coupled process of cage-scale dynamics and…

Soft Condensed Matter · Physics 2019-12-10 Anh D. Phan , Katsunori Wakabayashi , Marian Paluch , Vu D. Lam

It has recently become possible to prepare ultrastable glassy materials characterised by structural relaxation times which vastly exceed the duration of any feasible experiment. Similarly, new algorithms have led to the production of…

Statistical Mechanics · Physics 2020-07-23 Ludovic Berthier , Mark D. Ediger

The twice-activation method for analysis of experimental viscosity-temperature data reveals a set of interconnected parameters describing the state of the flowing glass-forming liquid in terms of convergation point which describes an…

Soft Condensed Matter · Physics 2025-09-16 Elena A. Chechetkina

We develop the elastically collective nonlinear Langevin equation theory of bulk relaxation of glass-forming liquids to investigate molecular mobility under compression conditions. The applied pressure restricts more molecular motion and…

Soft Condensed Matter · Physics 2020-04-24 Anh D. Phan , Agnieszka Jedrzejowska , Marian Paluch , Katsunori Wakabayashi

This perspective article reviews arguments that glass-forming liquids are different from those of standard liquid-state theory, which typically have a viscosity in the mPa$\cdot$s range and relaxation times of order picoseconds. These…

Soft Condensed Matter · Physics 2024-02-13 Jeppe C. Dyre

The presence of fluctuating local relaxation times, $\tau_r(t)$ has been used for some time as a conceptual tool to describe dynamical heterogeneities in glass-forming systems. However, until now no general method is known to extract the…

Disordered Systems and Neural Networks · Physics 2015-05-01 Gcina A. Mavimbela , Azita Parsaeian , Horacio E. Castillo

Knowledge of relaxation processes is fundamental in glass science and technology because relaxation is intrinsically related to vitrification, tempering as well as to annealing and sev-eral applications of glasses. However, there are…

Soft Condensed Matter · Physics 2021-03-17 Ricardo F. Lancelotti , Daniel R. Cassar , Marcelo Nalin , Oscar Peitl , Edgar D. Zanotto

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

We identify a link between the glass transition and percolation of mobile regions in configuration space. We find that many hallmarks of glassy dynamics, for example stretched-exponential response functions and a diverging structural…

Statistical Mechanics · Physics 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

A wide range of glassy and disordered materials exhibit complex, non-exponential, structural relaxation (aging). We propose a simple nonlinear rate equation d\delta/dt = a [1-exp (b\delta)], where '\delta' is the normalized deviation of a…

Disordered Systems and Neural Networks · Physics 2012-07-31 Itamar Kolvin , Eran Bouchbinder

The dynamics of glass formation in monatomic and binary liquids are studied numerically using a microscopic field theory for the evolution of the time-averaged atomic number density. A stochastic framework combining phase field crystal free…

Materials Science · Physics 2015-05-27 Joel Berry , Martin Grant

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

We investigate the structural relaxation of a soft-sphere liquid quenched isochorically ($\phi=0.7$) and instantaneously to different temperatures $T_f$ above and below the glass transition. For this, we combine extensive Brownian dynamics…

This review deals with the kinetic and thermodynamic fragility of bulk metallic glass forming liquids. The experimental methods to determine the kinetic fragility, relaxation behavior and thermodynamic functions of undercooled metallic…

Materials Science · Physics 2014-05-12 Ralf Busch , Zach Evenson , Isabella Gallino , Shuai Wei

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
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