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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…

Soft Condensed Matter · Physics 2025-04-01 B. Zhang , D. M. Zhang , D. Y. Sun , X. G. Gong

A simple monatomic system in two dimensions with a double-well interaction potential is investigated in a wide range of temperature by molecular dynamics simulation. The system is melted and equilibrated well above the melting temperature,…

Disordered Systems and Neural Networks · Physics 2015-05-13 Tomoko Mizuguchi , Takashi Odagaki

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At mean-field level this approach is consistent with the…

Statistical Mechanics · Physics 2014-09-05 Jeferson J. Arenzon , Antonio Coniglio , Annalisa Fierro , Mauro Sellitto

We propose that an onset of glass transition can be defined as the point at which a supercooled liquid acquires the stress relaxation mechanism of a solid glass. We translate this condition into the rate equation for local relaxation…

Materials Science · Physics 2009-11-11 Kostya Trachenko

Latest since the landmark studies of Kovacs and co-workers on the glass transition of polymers, it is clear that thermally induced volume changes are of central importance for the understanding of the nature of the glass transition. Due to…

Soft Condensed Matter · Physics 2024-03-19 Andreas Klingler , Bernd Wetzel , Jan-Kristian Krueger

A fundamental problem of glass transition is to explain the jump of heat capacity at the glass transition temperature $T_g$ without asserting the existence of a distinct solid glass phase. This problem is also common to other disordered…

Soft Condensed Matter · Physics 2015-05-18 Kostya Trachenko , Vadim Brazhkin

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

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…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

We develop an algorithm suitable for parallel molecular dynamics simulations in $d$ spatial dimensions and describe its implementation in C++. All routines work in arbitrary $d$; the maximum simulated $d$ is limited only by available…

Soft Condensed Matter · Physics 2022-05-18 Robert S. Hoy , Kevin A. Interiano-Alberto

We investigate the effect of a single heat treatment cycle on the potential energy states and mechanical properties of metallic glasses using molecular dynamics simulations. We consider the three-dimensional binary mixture, which was…

Soft Condensed Matter · Physics 2019-06-14 Nikolai V. Priezjev

We here discuss the results of 3d MonteCarlo simulations of a minimal lattice model for gelling systems. We focus on the dynamics, investigated by means of the time autocorrelation function of the density fluctuations and the particle mean…

Soft Condensed Matter · Physics 2007-05-23 E. Del Gado , A. Fierro , L. de Arcangelis , A. Coniglio

In stark contrast with the conventional understanding of the glass transition, where the transition from glass to liquid appears as a dynamic process where atoms/molecules cooperatively relax into the equilibrium phase, we experimentally…

Disordered Systems and Neural Networks · Physics 2023-01-10 Ana Vila-Costa , Marta Gonzalez-Silveira , Cristian Rodríguez-Tinoco , Marta Rodríguez-López , Javier Rodríguez-Viejo

Using molecular dynamics simulations we investigate the relaxation dynamics of a supercooled liquid close to a rough as well as close to a smooth wall. For the former situation the relaxation times increase strongly with decreasing distance…

Statistical Mechanics · Physics 2009-11-07 Peter Scheidler , Walter Kob , Kurt Binder

In the context of a classical example of glass-formation in 3-dimensions we exemplify how to construct a statistical mechanical theory of the glass transition. At the heart of the approach is a simple criterion for verifying a proper choice…

Statistical Mechanics · Physics 2009-11-13 Edan Lerner , Itamar Procaccia , Jacques Zylberg

Dynamics of vortices in strongly type-II superconductors with strong disorder is investigated within the frustrated three-dimensional XY model. For two typical models in [Phys. Rev. Lett. {\bf 91}, 077002 (2003)] and [Phys. Rev. B {\bf 68},…

Superconductivity · Physics 2009-11-13 Qing-Hu Chen

The dynamics of structural relaxation in a model polymer glass subject to spatially-homogeneous, time-periodic shear deformation is investigated using molecular dynamics simulations. We study a coarse-grained bead-spring model of short…

Soft Condensed Matter · Physics 2014-01-10 Nikolai V. Priezjev

In simulations of aqueous systems it is common to freeze the bond vibration and angle bending modes in water to allow for a longer time-step $\delta t$ for integrating the equations of motion. Thus $\delta t = 2$ fs is often used in…

Soft Condensed Matter · Physics 2023-08-17 Dilipkumar N. Asthagiri , Thomas L. Beck

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

Materials Science · Physics 2009-11-13 Th. Voigtmann

We study the properties of the q-state frustrated bond percolation model by a Monte Carlo "bond flip" dynamics, using an algorithm originally devised by Sweeny and suitably modified to treat the presence of frustration. We analyze the…

Statistical Mechanics · Physics 2009-10-31 A. de Candia , V. Cataudella , A. Coniglio