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We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

The Arrhenius crossover temperature, $T_{A}$, corresponds to a thermodynamic state wherein the atomistic dynamics of a liquid becomes heterogeneous and cooperative; and the activation barrier of diffusion dynamics becomes…

Materials Science · Physics 2023-01-31 Bulat N. Galimzyanov , Maria A. Doronina , Anatolii V. Mokshin

We examine the structural relaxation of glassy materials at finite temperatures, considering the effect of activated rearrangements and long-range elastic interactions. Our three-dimensional mesoscopic relaxation model shows how the…

Soft Condensed Matter · Physics 2023-12-20 Gieberth Rodriguez-Lopez , Kirsten Martens , Ezequiel E. Ferrero

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

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

Soft Condensed Matter · Physics 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

We report results of molecular dynamics simulations of a binary Lennard-Jones system at zero pressure in the undercooled liquid and glassy states. We first follow the evolution of diffusivity and dynamic heterogeneity with temperature and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. R. Schober

Via molecular dynamics simulations of a generic glass former in the supercooled and normal liquid states, it is shown that spatial correlations of strain fluctuations exhibit a crossover from the well-established power-law $\sim…

Soft Condensed Matter · Physics 2020-01-29 Muhammad Hassani , Marian Bruns , Fathollah Varnik

Glass-forming liquids display strong fluctuations -- dynamical heterogeneities -- near their glass transition. By numerically simulating a binary Weeks-Chandler-Andersen liquid and varying both temperature and timescale, we investigate the…

Disordered Systems and Neural Networks · Physics 2011-08-15 Azita Parsaeian , Horacio E. Castillo

Below the onset temperature $T_\text{o}$, the equilibrium relaxation time of most glass-forming liquids exhibits glassy dynamics characterized by super-Arrhenius temperature dependence. In this supercooled regime, the relaxation dynamics…

Statistical Mechanics · Physics 2023-05-03 Dimitrios Fraggedakis , Muhammad R. Hasyim , Kranthi K. Mandadapu

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

Using extensive non-equilibrium molecular dynamics simulations, we investigate a glassforming binary Lennard-Jones mixture under shear. Both supercooled liquids and glasses are considered. Our focus is on the characterization of…

Soft Condensed Matter · Physics 2020-08-26 Mehrdad Golkia , Gaurav P. Shrivastav , Pinaki Chaudhuri , Jürgen Horbach

A multi-time probing of density fluctuations is introduced to investigate hidden time scales of heterogeneous dynamics in glass-forming liquids. Molecular dynamics simulations for simple glass-forming liquids are performed, and a three-time…

Soft Condensed Matter · Physics 2009-06-15 Kang Kim , Shinji Saito

As liquids approach the glass transition temperature, dynamical heterogeneity emerges as a crucial universal feature of their behavior. Dynamic facilitation, where local motion triggers further motion nearby, plays a major role in this…

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

Statistical Mechanics · Physics 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

Materials Science · Physics 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

In supercooled liquids, dynamical facilitation refers to a phenomenon where microscopic motion begets further motion nearby, resulting in spatially heterogeneous dynamics. This is central to the glassy relaxation dynamics of such liquids,…

Statistical Mechanics · Physics 2023-10-11 Muhammad R. Hasyim , Kranthi K. Mandadapu

Glasses are out-of-equilibrium systems aging under the crystallization threat. During ordinary glass formation, the atomic diffusion slows down rendering its experimental investigation impractically long, to the extent that a timescale…

Disordered Systems and Neural Networks · Physics 2015-08-28 E. A. A. Pogna , C. Rodríguez-Tinoco , G. Cerullo , C. Ferrante , J. Rodríguez-Viejo , T. Scopigno

Amorphous solids or glasses are known to exhibit stretched-exponential decay over broad time intervals in several of their macroscopic observables: intermediate scattering function, dielectric relaxation modulus, time-elastic modulus etc.…

Soft Condensed Matter · Physics 2017-01-19 B. Cui , R. Milkus , A. Zaccone

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet