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A methodology for using random sketching in the context of model order reduction for high-dimensional parameter-dependent systems of equations was introduced in [Balabanov and Nouy 2019, Part I]. Following this framework, we here construct…

Numerical Analysis · Mathematics 2022-03-25 Oleg Balabanov , Anthony Nouy

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

In spin glass models one can remove minimization of free energy by some order parameter. One can consider hierarchy of order parameters. It is possible to divide energy among these parts. We can consider relaxation process in glass system…

Disordered Systems and Neural Networks · Physics 2016-08-31 D. B. Saakian

The precipitation of a glass forming solute from solution is modelled using a lattice model previously introduced to study dissolution kinetics of amorphous materials. The model includes the enhancement of kinetics at the surface of a glass…

Soft Condensed Matter · Physics 2019-05-15 Ian Douglass , Peter Harrowell

This contribution presents a simple Finite Element model aimed at efficient simulation of layered glass units. The adopted approach is based on considering independent kinematics of each layer, tied together via Lagrange multipliers.…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Alena Zemanová , Jan Zeman , Michal Šejnoha

Glass phases can be stabilized by quenched disorders, as in most spin-glass materials, or self-generated through kinetic freezing in disorder-free systems. A canonical example of the latter is structural glasses, which have been extensively…

Disordered Systems and Neural Networks · Physics 2024-10-17 Lingyu Yang , Gia-Wei Chern

Real structural glasses form through various out-of-equilibrium processes, including temperature quenches, rapid compression, shear, and aging. Each of these processes should be formally understandable within the recently formulated…

Statistical Mechanics · Physics 2024-08-19 Patrick Charbonneau , Peter K. Morse

We study numerically a monodisperse model of interacting classical particles predicted to exhibit a static liquid-glass transition. Using a dynamical Monte Carlo method we show that the model does not freeze into a glassy phase at low…

Disordered Systems and Neural Networks · Physics 2011-11-10 Charlotte Gils , Helmut G. Katzgraber , Matthias Troyer

Relaxation processes are crucial in understanding the structural rearrangements of liquids and amorphous materials. However, the overarching principle that governs these processes across vastly different materials remains an open question.…

Disordered Systems and Neural Networks · Physics 2024-03-12 Hai-Bin Yu , Liang Gao , Jia-Qi Gao , Konrad Samwer

The configurational entropy is among the key observables to characterize experimentally the formation of a glass. Physically, it quantifies the multiplicity of metastable states in which an amorphous material can be found at a given…

Statistical Mechanics · Physics 2014-08-21 Ludovic Berthier , Daniele Coslovich

The prediction of material structure from chemical composition has been a long-standing challenge in natural science. Although there have been various methodological developments and successes with computer simulations, the prediction of…

Materials Science · Physics 2018-05-23 Naoto Tsujimoto , Daiki Adachi , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

A simulation study demonstrates that localization can arise as the result of the breakdown of stable quasi-crystal-like atomic configurations. Samples produced at elevated quench rates and via more energetic processes contain a lower…

Materials Science · Physics 2007-05-23 Yunfeng Shi , Michael L. Falk

Iron phosphate glasses (IPG) have been proposed as futuristic glass material for nuclear waste immobilization, anode material for lithium batteries and also as bioactive glass. In the last decade, there have been attempts to propose…

Materials Science · Physics 2025-04-28 Shakti Singh , Manan Dholakia , Sharat Chandra

We compute the low-temperature configurational entropy of a two-dimensional supercooled liquid. Our method, based on a higher-dimensional version of the Grassberger--Procaccia algorithm, can be implemented in a manner that is entirely…

Statistical Mechanics · Physics 2026-05-29 Nina Javerzat , Gerhard Jung , Jorge Kurchan , Misaki Ozawa

In the three-dimensional Heisenberg spin glass in a random field we study the properties of the inherent structures that are obtained by an instantaneous cooling from infinite temperature. For not too large field the density of states…

Disordered Systems and Neural Networks · Physics 2015-12-29 Marco Baity-Jesi , Victor Martin-Mayor , Giorgio Parisi , Sergio Perez-Gaviro

Atomistic deformation simulations in the nominally elastic regime are performed for a model binary glass with strain rates as low as $10^{4}$/sec (corresponding to 0.01 shear strain per 1$\mu$sec). A robust elasticity is revealed that…

Soft Condensed Matter · Physics 2020-11-21 P. M. Derlet , R. Maass

Chemical design of SiO2-based glasses with high elastic moduli and low weight is of great interest. However, it is difficult to find a universal expression to predict the elastic moduli according to the glass composition before synthesis…

We present an operational method to determine the 'locally preferred structure'' of model liquids, a notion often put forward to explain supercooling of a liquid and glass formation. The method relies on finding the global minimum in the…

Disordered Systems and Neural Networks · Physics 2011-05-05 S. Mossa , G. Tarjus

We present a self-consistent local approach to self generated glassiness which is based on the concept of the dynamical mean field theory to many body systems. Using a replica approach to self generated glassiness, we map the problem onto…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sangwook Wu , Joerg Schmalian , Gabriel Kotliar , Peter G Wolynes

There is a growing evidence that relaxation in glassy materials, both spontaneous and externally driven, is mediated by localized soft spots. Recent progress made it possible to identify the soft spots inside glassy structures and to…

Soft Condensed Matter · Physics 2019-06-19 Zohar Schwartzman-Nowik , Edan Lerner , Eran Bouchbinder