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Using Monte Carlo simulations we study the dynamics of three-dimensional Ising models with nearest-, next-nearest-, and four-spin (plaquette) interactions. During coarsening, such models develop growing energy barriers, which leads to very…

统计力学 · 物理学 2009-10-31 A. Lipowski , D. Johnston , D. Espriu

Inspired by striking advances in language modeling, there has recently been much interest in developing autogressive sequence models that are amenable to analytical study. In this short note, we consider extensions of simple disordered…

无序系统与神经网络 · 物理学 2025-12-18 Jacob A. Zavatone-Veth , Cengiz Pehlevan

Rich out of equilibrium collective dynamics of strongly interacting large assemblies emerge in many areas of science. Some intriguing and not fully understood examples are the glassy arrest in atomic, molecular or colloidal systems,…

统计力学 · 物理学 2023-05-03 Leticia F. Cugliandolo

Kinetically constrained spin models are schematic coarse-grained models for the glass transition which represent an efficient theoretical tool to study detailed spatio-temporal aspects of dynamic heterogeneity in supercooled liquids. Here,…

统计力学 · 物理学 2009-11-11 Sébastien Léonard , Ludovic Berthier

Enhancing the kinetic stability of glasses often necessitates deepening thermodynamic stability, which typically compromises ductility due to increased structural rigidity. Decoupling these properties remains a critical challenge for…

材料科学 · 物理学 2025-12-24 Huanrong Liu , Qingan Li , Shan Zhang , Rui Su , Yunjiang Wang , Pengfei Guan

Kinetically constrained spin models are known to exhibit dynamical behavior mimicking that of glass forming systems. They are often understood as coarse-grained models of glass formers, in terms of some "mobility" field. The identity of…

无序系统与神经网络 · 物理学 2009-11-13 Matthew T. Downton , Malcolm P. Kennett

We present simulation results for the dynamics of a schematic model based on the frustration-limited domain picture of glass-forming liquids. These results are compared with approximate theoretical predictions analogous to those commonly…

统计力学 · 物理学 2009-11-10 Phillip L. Geissler , David R. Reichman

We study the spacial and temporal multiscale properties of complex systems. We present accelerated algorithms for dilute spin glasses and display explicitly their relation to the effective dynamics of specific collective degrees of freedom…

凝聚态物理 · 物理学 2008-02-03 N. Persky , S. Solomon

We use computer simulations to probe the thermodynamic and dynamic properties of a glass-former that undergoes an ideal glass-transition because of the presence of randomly pinned particles. We find that even deep in the equilibrium glass…

无序系统与神经网络 · 物理学 2018-12-03 Misaki Ozawa , Atsushi Ikeda , Kunimasa Miyazaki , Walter Kob

The accuracy of a model to describe the horizontal dynamics of a confined quasi-two-dimensional system of inelastic hard spheres is discussed by comparing its predictions for the relaxation of the temperature in an homogenous system with…

统计力学 · 物理学 2015-06-19 J. Javier Brey , M. I. García de Soria , P. Maynar , V. Buzón

The effect of confinement in the segmental relaxation of polymers is considered. On the basis of a thermodynamic model we discuss the emerging relevance of the fast degrees of freedom in stimulating the much slower segmental relaxation, as…

软凝聚态物质 · 物理学 2015-05-13 Marco Pieruccini , Tiberio A. Ezquerra

We analyze numerically the training dynamics of deep neural networks (DNN) by using methods developed in statistical physics of glassy systems. The two main issues we address are (1) the complexity of the loss landscape and of the dynamics…

机器学习 · 统计学 2019-12-23 M. Baity-Jesi , L. Sagun , M. Geiger , S. Spigler , G. Ben Arous , C. Cammarota , Y. LeCun , M. Wyart , G. Biroli

Dynamical simulations are a fundamental tool for studying the secular evolution of disc galaxies. Even at their maximum resolution, they still follow a limited number of particles and typically resolve scales of the order of a few tens of…

星系天体物理 · 物理学 2015-06-17 Francesca Iannuzzi , E. Athanassoula

The dynamics of many glassy systems are known to exhibit string-like hopping motions each consisting of a line of particles displacing one and other. By using molecular dynamics simulations of glassy polymers, we show that these motions…

统计力学 · 物理学 2021-06-29 Chi-Hang Lam

Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This…

无序系统与神经网络 · 物理学 2016-04-12 Le Yan

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While traditional entropic network models can be fit to the total stress, their underlying assumptions are inconsistent with simulation results.…

材料科学 · 物理学 2009-11-13 Robert S. Hoy , Mark O. Robbins

The glass transition of supercooled fluids is a particular challenge for computer simulation, because the (longest) relaxation times increase by about 15 decades upon approaching the transition temperature T_g. Brute-force molecular…

统计力学 · 物理学 2007-05-23 Kurt Binder , Jörg Baschnagel , Walter Kob , Wolfgang Paul

Glassy systems are characterized by an extremely sluggish dynamics without any simple sign of long range order. It is a debated question whether a correct description of such phenomenon requires the emergence of a large correlation length.…

统计力学 · 物理学 2009-11-11 Andrea Montanari , Guilhem Semerjian

Slow dynamic nonlinearity is widely observed in brittle materials with complex heterogeneous or cracked microstructures. It is seen in rocks, concrete and cracked glass blocks. Unconsolidated structures show the behavior as well: aggregates…

软凝聚态物质 · 物理学 2020-07-08 John Y. Yoritomo , Richard L. Weaver

Relaxational processes in ordered phases of one-dimensional Ising models with long-range interactions are investigated by Monte Carlo simulations. Three types of spin model, the pure ferromagnetic, the diluted ferromagnetic, and the spin…

统计力学 · 物理学 2017-01-04 Yusuke Tomita