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We study heterogeneities in a binary Lennard-Jones system below the glass transition using molecular dynamics simulations. We identify mobile and immobile particles and measure their distribution of vibrational amplitudes. For temperatures…

Disordered Systems and Neural Networks · Physics 2013-05-29 Katharina Vollmayr-Lee , Annette Zippelius

Many amorphous glassy materials exhibit complex spatio-temporal mechanical response and rheology, characterized by an intermittent stress-strain response and a fluctuating velocity profile. Under quasistatic and athermal deformation…

Soft Condensed Matter · Physics 2010-02-01 Michel Tsamados

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

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

Activity-driven glassy dynamics, while ubiquitous in collective cell migration, intracellular transport, dynamics in bacterial and ant colonies, etc., also extend the scope and extent of the as-yet mysterious physics of glass transition.…

Soft Condensed Matter · Physics 2023-05-11 Kallol Paul , Anoop Mutneja , Saroj Kumar Nandi , Smarajit Karmakar

Rapid cooling of liquids below a certain temperature range can result in a transition to glassy states. The traditional understanding of glasses includes their thermodynamic metastability with respect to crystals. However, here we present…

Statistical Mechanics · Physics 2016-12-12 G. Zhang , F. H. Stillinger , S. Torquato

We study numerically the Hessian of low-lying minima of vector spin glass models defined on random regular graphs. We consider the two-component (XY) and three-component (Heisenberg) spin glasses at zero temperature, subjected to the action…

Disordered Systems and Neural Networks · Physics 2025-06-03 Silvio Franz , Cosimo Lupo , Flavio Nicoletti , Giorgio Parisi , Federico Ricci-Tersenghi

A reliable model of viscosity in liquids using a dual liquid model framework is developed. The analytical expression arrived at exhibits the correct T-dependence Arrhenius-like. It is compared with the values of viscosity for water with…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Fabio Peluso

A major mystery of glass-forming liquids is the non-Arrhenius temperature-dependence of the average relaxation time. This paper briefly reviews the classical phenomenological models for this phenomenon - the free-volume model and the…

Condensed Matter · Physics 2015-06-25 Jeppe C. Dyre

As approaching the glass transition, particle motion in liquids becomes highly heterogeneous and regions with virtually no mobility coexist with liquid-like domains. This complex dynamics is believed to be responsible for different…

Soft Condensed Matter · Physics 2018-03-28 F. Puosi , N. Jakse , A. Pasturel

A molecular theory of the glass transition of network forming liquids is developed using a combination of self-consistent phonon and liquid state approaches. Both the dynamical transition and the entropy crisis characteristic of random…

Condensed Matter · Physics 2009-11-07 Randall W. Hall , Peter G. Wolynes

The low-temperature thermal properties of glasses are anomalous with respect to those of crystals. These thermal anomalies indicate that the low-frequency vibrational properties of glasses differ from those of crystals. Recent studies…

Soft Condensed Matter · Physics 2018-04-24 Masanari Shimada , Hideyuki Mizuno , Atsushi Ikeda

This paper is an extended version of an article accepted for publication in Physical Review E. Besides its fundamental interest, the model that we investigate in this article is simple enough to be used as a basis for courses or tutorials…

Statistical Mechanics · Physics 2020-11-25 Michel Peyrard , Jean-Luc Garden

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high…

Soft Condensed Matter · Physics 2015-06-12 Ricardo Brito , Dino Risso , Rodrigo Soto

Glassy matter like crystals resists change in shape. Therefore a theory for their continuous melting should show how the shear elastic constant $\mu$ goes to zero. Since viscosity is the long wave-length low frequency limit of shear…

Disordered Systems and Neural Networks · Physics 2022-11-09 Chandra M. Varma

The theoretical understanding of the low-frequency modes in amorphous solids at finite temperature is still incomplete. The study of the relevant modes is obscured by the dressing of inter-particle forces by collision-induced momentum…

Disordered Systems and Neural Networks · Physics 2022-05-04 Roberto Guerra , Silvia Bonfanti , Itamar Procaccia , Stefano Zapperi

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

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 time evolution of the pore size distributions and mechanical properties of amorphous solids at constant pressure is studied using molecular dynamics simulations. The porous glasses were initially prepared at constant volume conditions…

Soft Condensed Matter · Physics 2018-10-22 Nikolai V. Priezjev , Maxim A. Makeev

We study amorphous solids with strong elastic disorder and find an un-jamming instability that exists, inter alia, in an harmonic model built using Euclidean random matrices (ERM). Employing the Zwanzig-Mori projection operator formalism…

Soft Condensed Matter · Physics 2024-05-13 Florian Vogel , Philipp Baumgärtel , Matthias Fuchs