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The dynamical heterogeneity in supercooled liquids measured by a molecular dynamics simulation has been quantified on the basis of the multifractal formalism. The singularity spectrum becomes broader as the glass transition is approached.…

Statistical Mechanics · Physics 2009-11-07 W. Sakikawa , O. Narikiyo

The two-dimensional freezing transition is very different from its three-dimensional counterpart. In contrast, the glass transition is usually assumed to have similar characteristics in two and three dimensions. Using computer simulations…

Soft Condensed Matter · Physics 2019-06-26 Elijah Flenner , Grzegorz Szamel

The interrelations between short range structural and elastic aspects in glasses and glass forming liquids pose important and yet unresolved questions. In this paper these relations are analyzed for mono-atomic glasses and stressed liquids…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tamar Kustanovich , Zeev Olami

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 investigate a binary Lennard-Jones mixture with molecular dynamics simulations. We consider first a system cooled linearly in time with the cooling rate gamma. By varying gamma over almost four decades we study the influence of the…

Statistical Mechanics · Physics 2015-06-25 K. Vollmayr-Lee , W. Kob , K. Binder , A. Zippelius

The aim of this report is to review a theoretical approach that has been proposed recently to describe dynamic fluctuations in glassy systems (work in collaboration with H. Castillo, C. Chamon, P. Charbonneau, J. L. Iguain, M. Kennett, D.…

Disordered Systems and Neural Networks · Physics 2011-11-09 Leticia F. Cugliandolo

We present molecular dynamics simulations of the motion of a single rigid rod in a disordered static 2d-array of disk-like obstacles. Two different configurations have been used for the latter: A completely random one, and which thus has an…

Soft Condensed Matter · Physics 2009-11-11 Angel J. Moreno , Walter Kob

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

A fascinating feature of metallic glasses is their ability to explore different configurations under mechanical deformations. This effect is usually observed through macroscopic observables, while little is known on the consequence of the…

Disordered Systems and Neural Networks · Physics 2023-01-09 A. Cornet , G. Garbarino , F. Zontone , Y. Chushkin , J. Jacobs , E. Pineda , T. Deschamps , S. Li , A. Ronca , J. Shen , G. Morard , N. Neuber , M. Frey , R. Busch , I. Gallino , M. Mezouar , G. Vaughan , B. Ruta

Glass-forming materials are characterized by an intermittent motion at the microscopic scale. Particles spend most of their time rattling within the cages formed by their neighbors, and seldom jump to a different cage. In molecular glass…

Soft Condensed Matter · Physics 2014-12-03 Raffaele Pastore , Massimo Pica Ciamarra , Giuseppe Pesce , Antonio Sasso

We study the local dynamical fluctuations in glass-forming models of particles embedded in $d$-dimensional space, in the mean-field limit of $d\to\infty$. Our analytical calculation reveals that single-particle observables, such as squared…

Disordered Systems and Neural Networks · Physics 2022-04-27 Giulio Biroli , Patrick Charbonneau , Giampaolo Folena , Yi Hu , Francesco Zamponi

Polydispersity is found to have a significant effect on the potential energy landscape; the the average inherent structure energy with temperature decreases with polydispersity. Increasing polydispersity at fixed volume fraction decreases…

Soft Condensed Matter · Physics 2009-11-13 Sneha Elizabeth Abraham , Sarika Maitra Bhattacharrya , Biman Bagchi

The dynamics of dense particle packings near the jamming transition is characterized by correlated particle motion. The growth of dynamical heterogeneities, or strong spatial variations in the motion of the particles constituting the…

Soft Condensed Matter · Physics 2024-09-12 Rajkumar Biswas , Anoop Mutneja , Smarajit Karmakar , Ranjini Bandyopadhyay

Many amorphous materials show spatially heterogenous dynamics, as different regions of the same system relax at different rates. Such a signature, known as Dynamic Heterogeneity, has been crucial to understand the jamming transition in…

Soft Condensed Matter · Physics 2017-04-24 Raffaele Pastore , Giuseppe Pesce , Marco Caggioni

Theoretical challenges in understanding the nature of glass and the glass transition remain significant open questions in statistical and condensed matter physics. As a prototypical example of complex physical systems, glasses and the…

Disordered Systems and Neural Networks · Physics 2026-01-21 Xin-Jia Zhou , Feng Yang , Xiao-Dong Yang , Lin Ma , Zhen-Wei Wu

Two decades of experimental research indicates that spatial confinement of glass-forming molecular and polymeric liquids results in major changes of their slow dynamics beginning at large confinement distances. A fundamental understanding…

Soft Condensed Matter · Physics 2015-06-23 Stephen Mirigian , Kenneth S. Schweizer

We test a hypothesis for the origin of dynamical heterogeneity in slowly relaxing systems, namely that it emerges from soft (Goldstone) modes associated with a broken continuous symmetry under time reparametrizations. We do this by…

Disordered Systems and Neural Networks · Physics 2013-10-30 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

The random Lorentz gas is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence…

Disordered Systems and Neural Networks · Physics 2015-05-20 Yuliang Jin , Patrick Charbonneau

We present experimental confirmation of dynamic facilitation in monodisperse and bidisperse colloidal suspensions near the glass transition volume fraction. Correlations in particle dynamics are seen to exist not only in space (clusters and…

Soft Condensed Matter · Physics 2014-06-24 Scott V. Franklin , Eric R. Weeks

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with…

Numerical Analysis · Mathematics 2014-09-16 Manuel Quezada de Luna , David I. Ketcheson