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We consider gapless models of statistical mechanics. At zero temperatures correlation functions decay asymptotically as powers of distance in these models. Temperature correlations decay exponentially. We used an example of solvable model…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Korepin , Nikita Slavnov

A model glass is considered with one type of fast ($\beta$-type) of processes, and one type of slow processes ($\alpha$-type). On time-scales where the fast ones are in equilibrium, the slow ones have a dynamics that resembles the one of…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

Using molecular dynamics simulations of a binary Lennard-Jones model of glass-forming liquids, we examine how the decay of the normalized neighbor-persistence function $C_{\rm B}(t)$, which decays from unity at short times to zero at long…

Soft Condensed Matter · Physics 2025-02-04 Katrianna S. Sarkar , Kevin A. Interiano-Alberto , Jack F. Douglas , Robert S. Hoy

Nearly-logarithmic decay of correlations, which was observed for several supercooled liquids in optical-Kerr-effect experiments [G. Hinze et al. Phys. Rev. Lett. 84, 2437(2000), H. Cang et al. Phys. Rev. Lett. 90, 197401 (2003)], is…

Disordered Systems and Neural Networks · Physics 2007-05-23 W. Gotze , M. Sperl

A detailed numerical study is made of relaxation at equilibrium in the Sherrington-Kirkpatrick Ising spin glass model, at and above the critical temperature Tg. The data show a long time stretched exponential relaxation q(t) ~…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alain Billoire , I. A. Campbell

A unified treatment of structural relaxation in a deeply supercooled glassy liquid is developed which extends the existing mode coupling theory (MCT) by incorporating the effects of activated events by using the concepts from the random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

Using molecular dynamics simulations we study the out of equilibrium dynamic correlations in a model glass-forming liquid. The system is quenched from a high temperature to a temperature below its glass transition temperature and the decay…

Statistical Mechanics · Physics 2009-10-30 Walter Kob , Jean-Louis Barrat

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

In this paper, we study the high temperature or low connectivity phase of the Viana-Bray model. This is a diluted version of the well known Sherrington-Kirkpatrick mean field spin glass. In the whole replica symmetric region, we obtain a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Guerra , Fabio Lucio Toninelli

We present a model for glassy dynamics in supercooled liquid mixtures. Given the relaxation behavior of individual supercooled liquids, the model predicts the relaxation times of their mixtures as temperature is decreased. The model is…

Statistical Mechanics · Physics 2019-09-11 Shachi Katira , Juan P. Garrahan , Kranthi K. Mandadapu

We derive an equation for the glass relaxation. In the derivation, the Zwanzig-Mori projection method is not applied explicitly, which makes our equation different from the mode coupling theory. Due to the nonlinearity, it is difficult to…

Disordered Systems and Neural Networks · Physics 2023-02-17 Li Wan

Glass-forming liquids exhibit a dramatic dynamical slowdown as the temperature is lowered. This can be attributed to relaxation proceeding via large structural rearrangements whose characteristic size increases as the system cools. These…

Statistical Mechanics · Physics 2015-03-31 Allan Adams , Tarek Anous , Jaehoon Lee , Sho Yaida

X-ray photon correlation is used to probe the slow dynamics of the glass-former B2O3 across the glass transition. In the undercooled liquid phase the decay times of the measured correlation functions are consistent with visible light…

Disordered Systems and Neural Networks · Physics 2019-07-03 Giovanna Pintori , Giacomo Baldi , Beatrice Ruta , Giulio Monaco

Whereas the first part of this paper dealt with the relaxation in the beta-regime, this part investigates the final (alpha) relaxation of a simulated polymer melt consisting of short non-entangled chains above the critical temperature Tc of…

Soft Condensed Matter · Physics 2007-05-23 M. Aichele , J. Baschnagel

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the…

Statistical Mechanics · Physics 2015-10-07 Tommaso Rizzo , Thomas Voigtmann

Using molecular dynamics computer simulations we investigate how in silica the glass transition and the properties of the resulting glass depend on the cooling rate with which the sample is cooled. By coupling the system to a heat bath with…

Condensed Matter · Physics 2009-10-28 Katharina Vollmayr , Walter Kob , Kurt Binder

We examine the density-density correlation function in a model recently proposed to study the effect of entropy barriers in glassy dynamics. We find that the relaxation proceeds in two steps with a fast beta process followed by alpha…

Condensed Matter · Physics 2009-10-28 Silvio Franz , Felix Ritort

We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari-Kurchan glass model. The tree-like structure of particle interactions forbids both non-trivial structural motifs and the emergence of a complex free-energy…

Disordered Systems and Neural Networks · Physics 2022-06-27 Yoshihiko Nishikawa , Atsushi Ikeda , Ludovic Berthier

We consider the random-phase sine-Gordon model in two dimensions. It describes two-dimensional elastic systems with random periodic disorder, such as pinned flux-line arrays, random field XY models, and surfaces of disordered crystals. The…

Statistical Mechanics · Physics 2013-07-09 Pierre Le Doussal , Zoran Ristivojevic , Kay Jörg Wiese

Brillouin scattering has been used to measure the dynamic structure factor of glycerol as a function of temperature from the high temperature liquid to the glassy state. Our investigation aims at understanding the number and the nature of…

Soft Condensed Matter · Physics 2009-11-10 Lucia Comez , Daniele Fioretto , Filippo Scarponi , Giulio Monaco