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A simple model to investigate the long time dynamics of glass-formers is presented and applied to study a Lennard-Jones system in supercooled and glassy phases. According to our model, the point representing the system in the…

无序系统与神经网络 · 物理学 2009-10-31 Luca Angelani , Giorgio Parisi , Giancarlo Ruocco , Gabriele Viliani

Theoretical challenges in understanding the nature of glass and the glass transition remain significant open questions in statistical and condensed matter physics. As a prototypical example of complex physical systems, glasses and the…

无序系统与神经网络 · 物理学 2026-01-21 Xin-Jia Zhou , Feng Yang , Xiao-Dong Yang , Lin Ma , Zhen-Wei Wu

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest--neighbour Lennard--Jones potential are computed by molecular--dynamics simulations. A drastic qualitative change of the…

统计力学 · 物理学 2009-11-11 Stefano Lepri , Paolo Sandri , Antonio Politi

Results from the state-of-the-art molecular dynamics simulations are presented for both equilibrium and nonequilibrium dynamics following vapor-liquid transition in a single component Lennard-Jones system. We have fixed the overall density…

统计力学 · 物理学 2018-03-09 Sutapa Roy , Subir K. Das

The topic of the glass transition gives rise to a a wide diversity of views. It is, accordingly, characterized by a lack of agreement on which would be the most profitable theoretical perspective. In this chapter, I provide some elements…

统计力学 · 物理学 2010-10-15 Gilles Tarjus

The dynamics of glass formation in monatomic and binary liquids are studied numerically using a microscopic field theory for the evolution of the time-averaged atomic number density. A stochastic framework combining phase field crystal free…

材料科学 · 物理学 2015-05-27 Joel Berry , Martin Grant

We show that finite size scaling techniques can be employed to study the glass transition. Our results follow from the postulate of a diverging correlation length at the glass transition whose physical manifestation is the presence of…

统计力学 · 物理学 2009-11-10 Ludovic Berthier

Temperature-driven polyamorphism has been reported in various supercooled liquids and glasses. The dynamical and structural routes followed by the system during such crossovers are however not universal and appear to be related to intrinsic…

无序系统与神经网络 · 物理学 2018-08-29 S. Hechler , B. Ruta , M. Stolpe , E. Pineda , Z. Evenson , O. Gross , W. Hembree , A. Bernasconi , R. Busch , I. Gallino

We propose a connection between self-similar, focusing dynamics in nonlinear partial differential equations (PDEs) and macroscopic dynamic features of the glass transition. In particular, we explore the divergence of the appropriate…

凝聚态物理 · 物理学 2015-06-24 P. G. Kevrekidis , S. K. Kumar , I. G. Kevrekidis

We have investigated the nature of the dynamical behaviour in low autocorrelation binary sequences. These models do have a glass transition $T_G$ of a purely dynamical nature. Above the glass transition the dynamics is not fully ergodic and…

凝聚态物理 · 物理学 2009-10-22 Gabriele Migliorini , Felix Ritort

On the basis of microscopic statistical mechanics of simple liquids the orientational interaction between clusters consisting of a particle and its nearest neighbors is estimated. It is shown that there are ranges of density and temperature…

无序系统与神经网络 · 物理学 2009-11-10 N. M. Chtchelkatchev , V. N. Ryzhov , T. I. Schelkacheva , E. E. Tareyeva

A particle in a random potential with logarithmic correlations in dimensions $d=1,2$ is shown to undergo a dynamical transition at $T_{dyn}>0$. In $d=1$ exact results demonstrate that $T_{dyn}=T_c$, the static glass transition temperature,…

凝聚态物理 · 物理学 2009-10-31 Horacio Castillo , Pierre Le Doussal

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

无序系统与神经网络 · 物理学 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

The present study introduces a renormalization based approach to investigate the relaxation dynamics within supercooled liquids. By applying a numerical scale transformation to potential energies along the temporal axis, we have established…

软凝聚态物质 · 物理学 2025-04-01 B. Zhang , D. M. Zhang , D. Y. Sun , X. G. Gong

We review a theoretical perspective of the dynamics of glass forming liquids and the glass transition. It is a perspective we have developed with our collaborators during this decade. It is based upon the structure of trajectory space. This…

软凝聚态物质 · 物理学 2010-04-20 David Chandler , Juan P. Garrahan

An alternative scenario for the glass transition based on the cooperative nature of nucleation processes and the role of entropic effects is presented. The new ingredient is to relate the dissipation during the relaxation process to the…

统计力学 · 物理学 2007-05-23 Andrea Crisanti , Felix Ritort

When liquids are cooled sufficiently rapidly below their melting temperature, they may bypass crystalization and, instead, enter a long-lived metastable supercooled state that has long been the focus of intense research. Although they…

统计力学 · 物理学 2023-12-05 Zohar Nussinov

Using molecular dynamics simulations, we have determined that the nature of dynamical heterogeneity in jammed liquids is very sensitive to short-ranged attractions. Weakly attractive systems differ little from dense hard-sphere and…

软凝聚态物质 · 物理学 2007-05-23 David R. Reichman , Eran Rabani , Phillip L. Geissler

Glass-like materials are nonequilibrium systems where the relaxation time may exceed reasonable time scales of observations. In the present paper a dynamic percolation model is introduced in order to explain the principal properties of…

凝聚态物理 · 物理学 2007-05-23 A. Vazquez , O. Sotolongo-Costa

We demonstrate that an extended picture of kinetic constraints in glass-forming liquids is sufficient to explain dynamic anomalies observed in dense suspensions of strongly attracting colloidal particles. We augment a simple model of…

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