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The transition from a flowing to a static state in a granular material is studied using large-scale, 3D particle simulations. Similar to glasses, this transition is manifested in the development of a plateau in the contact normal force…

Statistical Mechanics · Physics 2007-05-23 L. E. Silbert , D. Ertas , G. S. Grest , T. C. Halsey , D. Levine

Glass-forming liquids have only a modest tendency to crystallize and hence their dynamics can be studied even below the melting temperature. The relaxation dynamics of most of these liquids shows at a temperature $T_c$, somewhat above the…

Soft Condensed Matter · Physics 2025-01-17 Francesco Rusciano , Raffaele Pastore , Francesco Greco , Walter Kob

In this work, we study the nature of transitions between inherent structures of a two-dimensional model supercooled liquid. We demonstrate that these transitions occur predominately along a small number of directions on the energy…

Statistical Mechanics · Physics 2013-03-12 Glen M. Hocky , David R. Reichman

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

We present a detailed derivation of a microscopic theory for the glass transition of a liquid enclosed between two parallel walls relying on a mode-coupling approximation. This geometry lacks translational invariance perpendicular to the…

Soft Condensed Matter · Physics 2012-08-16 Simon Lang , Rolf Schilling , Vincent Krakoviack , Thomas Franosch

We developed a generalized replicated liquid theory for glassy phases of non-spherical uniaxial molecules and colloids, which becomes exact in the large dimensional limit $d\to\infty$. We then applied the scheme to patchy colloids with…

Soft Condensed Matter · Physics 2018-07-13 Hajime Yoshino

Using molecular dynamics simulation we examine changeovers among crystal, glass, and liquid at high density in a two dimensional binary mixture. We change the ratio between the diameters of the two components and the temperature. The…

Soft Condensed Matter · Physics 2009-11-11 Toshiyuki Hamanaka , Akira Onuki

Despite great efforts over the past 50 years, the simulation of water still presents significant challenges and open questions. At room temperature and pressure, the collective molecular interactions and dynamics of water molecules may form…

Chemical Physics · Physics 2022-06-22 Riccardo Capelli , Francesco Muniz-Miranda , Giovanni M. Pavan

A few years ago it was showed that some systems that have very similar local structure, as quantified by the pair correlation function, exhibit vastly different slowing down upon supercooling [L. Berthier and G. Tarjus, Phys. Rev. Lett.…

Soft Condensed Matter · Physics 2015-06-17 Elijah Flenner , Hannah Staley , Grzegorz Szamel

We derive a phase diagram for amorphous solids and liquid supercooled water and explain why the amorphous solids of water exist in several different forms. Application of large-deviation theory allows us to prepare such phases in computer…

Statistical Mechanics · Physics 2015-06-16 David T Limmer , David Chandler

We extend the replica liquid theory in order to describe the multiple glass transitions of binary mixtures with large size disparities, by taking into account the two-step replica symmetry breaking (2RSB). We determine the glass phase…

Soft Condensed Matter · Physics 2021-03-03 Harukuni Ikeda , Kunimasa Miyazaki , Hajime Yoshino , Atsushi Ikeda

Glass-forming liquids are broadly classified as being fragile or strong, depending on the deviation from Arrhenius behavior of their relaxation times. A fragile to strong crossover is observed or inferred in liquids like water and silica,…

Soft Condensed Matter · Physics 2022-04-12 Pallai Das , Srikanth Sastry

We investigate, for two water models displaying a liquid-liquid critical point, the relation between changes in dynamic and thermodynamic anomalies arising from the presence of the liquid-liquid critical point. We find a correlation between…

Statistical Mechanics · Physics 2016-08-31 L. Xu , P. Kumar , S. V. Buldyrev , S. -H. Chen , P. H. Poole , F. Sciortino , H. E. Stanley

The fragility of a glassforming liquid characterizes how rapidly its relaxation dynamics slow down with cooling. The viscosity of strong liquids follows an Arrhenius law with a temperature-independent barrier height to rearrangements…

Soft Condensed Matter · Physics 2020-08-25 Ekin D. Cubuk , Andrea J. Liu , Efthimios Kaxiras , Samuel S. Schoenholz

Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model…

Disordered Systems and Neural Networks · Physics 2012-01-11 Ruben S. Andrist , Derek Larson , Helmut G. Katzgraber

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a…

Statistical Mechanics · Physics 2019-12-11 Daniele Coslovich , Andrea Ninarello , Ludovic Berthier

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

Within the framework of the effective potential theory of the structural glass transition, we calculate for the p-spin model a static nonlinear susceptibility related to a four-point density correlation function, and show that it grows and…

Disordered Systems and Neural Networks · Physics 2009-10-13 Claudio Donati , Silvio Franz , Giorgio Parisi , Sharon C. Glotzer

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

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