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We study a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate, the position…

数学物理 · 物理学 2020-12-16 Soon Hoe Lim , Jan Wehr

In supercooled liquids, at a temperature between the glass transition temperature Tg and the melting point Tm, thermodynamic properties remain continuous, while dynamic behavior exhibits anomalies. The origin of such thermodynamics-dynamic…

软凝聚态物质 · 物理学 2025-06-17 X. R. Tian , D. M. Zhang , B. Zhang , D. Y. Sun , X. G. Gong

Using mean-field approximations, this paper identifies a phase transition in a three-dimensional Electron Glass lattice model. The density of states of the eigenvalue distribution of the inverse susceptibility matrix is used to identify the…

无序系统与神经网络 · 物理学 2023-08-02 Preeti Bhandari , Vikas Malik

We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

统计力学 · 物理学 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

We describe an efficient Monte Carlo algorithm using a random walk in energy space to obtain a very accurate estimate of the density of states for classical statistical models. The density of states is modified at each step when the energy…

统计力学 · 物理学 2009-11-07 Fugao Wang , David. P. Landau

We develop a transferable machine learning model which predicts structural relaxation from amorphous supercooled liquid structures. The trained networks are able to predict dynamic heterogeneity across a broad range of temperatures and time…

软凝聚态物质 · 物理学 2024-02-27 Gerhard Jung , Giulio Biroli , Ludovic Berthier

In this paper we develop a method introduced by one of us to study metastable states in spin glasses. We consider a `potential function' defined as the free energy of a system at a given temperature $T$ constrained to have a fixed overlap…

凝聚态物理 · 物理学 2009-10-28 S. Franz , G. Parisi

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

软凝聚态物质 · 物理学 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

无序系统与神经网络 · 物理学 2012-03-06 Ulisse Ferrari , Luca Leuzzi

We propose that glass-forming liquids are intrinsically under the influences of both fluctuating interactions and random fields well-known in the field of spin systems. This is due to the frustration between the isotropic and anisotropic…

无序系统与神经网络 · 物理学 2009-10-30 Hajime Tanaka

Using the potential energy landscape formalism we show that, in the temperature range in which the dynamics of a glass forming system is thermally activated, there exists a unique set of "basis glass states" each of which is confined to a…

无序系统与神经网络 · 物理学 2019-07-25 Prabhat K. Gupta , Walter Kob

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…

统计力学 · 物理学 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

The systematic identification of temperature scales in supercooled liquids that are key to understanding those liquids' underlying glass properties, and the latter's formation-history dependence, is a challenging task. Here we study the…

软凝聚态物质 · 物理学 2021-01-05 Karina González-López , Edan Lerner

Understanding and predicting the glassy dynamics of small organic molecules is critical for applications ranging from pharmaceuticals to energy and food preservation. In this work, we present a theoretical framework that combines molecular…

软凝聚态物质 · 物理学 2025-09-16 Anh D. Phan , Ngo T. Que , Nguyen T. T. Duyen

We develop the Elastically Collective Nonlinear Langevin Equation theory to investigate, for the first time, glassy dynamics in capped metallic glass thin films. Finite-size effects on the spatial gradient of structural relaxation time and…

软凝聚态物质 · 物理学 2022-02-02 Anh D. Phan

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…

无序系统与神经网络 · 物理学 2013-05-29 Katharina Vollmayr-Lee , Annette Zippelius

We study magnetic properties of spin glass SG systems under a random field (RF), beased on the suggestion that RFs can be induced by a weak transverse field in the compound LiHo$_x$Y$_{1-x}$F$_4$. We consider a cluster spin model that…

无序系统与神经网络 · 物理学 2019-01-30 M. V. Romitti , F. M. Zimmer , C. V. Morais , S. G. Magalhaes

It is frequently assumed that in the limit of vanishing cooling rate, the glass transition phenomenon becomes a thermodynamic transition at a temperature $T_{K}$. However, with any finite cooling rate, the system falls out of equilibrium at…

统计力学 · 物理学 2015-05-13 Saurish Chakrabarty , Smarajit Karmakar , Chandan Dasgupta

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

We study at- and out-of-equilibrium dynamics of a single homopolymer chain at low temperature using molecular dynamics simulations. The main quantities of interest are the average root mean square displacement of the monomers below the…

软凝聚态物质 · 物理学 2009-11-07 Nikolay V. Dokholyan , Estelle Pitard , Sergey V. Buldyrev , H. Eugene Stanley