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Related papers: Super-Cooled Liquids: Equivalence between Mode-Cou…

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Slow dynamics of difluorotetrachloroethane in both supercooled plastic crystal and supercooled liquid states have been investigated from Molecular Dynamics simulations. The temperature and wave-vector dependence of collective dynamics in…

Soft Condensed Matter · Physics 2009-11-11 F. Affouard , M. Descamps

The non-exponential shape of the $\alpha$-process observed in supercooled liquids is considered as one of the hallmarks of glassy dynamics and has thus been under study for decades, but is still poorly understood. For a polar van der Waals…

Soft Condensed Matter · Physics 2020-08-05 Florian Pabst , Andreas Helbling , Jan Gabriel , Peter Weigl , Thomas Blochowicz

The emergence of glassy dynamics and the glass transition in dense disordered systems is still not fully understood theoretically. Mode-coupling theory (MCT) has shown to be effective in describing some of the non-trivial features of glass…

Soft Condensed Matter · Physics 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

We derive an extension of the mode coupling theory for the liquid-glass transition to a class of models of confined fluids, where the fluid particles evolve in a disordered array of interaction sites. We find that the corresponding…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Krakoviack

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , Th. M Nieuwenhuizen

An one-step replica-symmetry-breaking solution for finite connectivity spin-glass models with K body interaction is constructed at finite temperature using the replica method and thermodynamic constraints. In the absence of external fields,…

Statistical Mechanics · Physics 2013-05-29 Tetsuya Nakajima , Koji Hukushima

Using Brownian Dynamics computer simulations we show that the relaxation of a supercooled Brownian system is qualitatively the same as that of a Newtonian system. In particular, near the so-called mode-coupling transition temperature,…

Soft Condensed Matter · Physics 2009-11-10 Grzegorz Szamel , Elijah Flenner

We consider off-equilibrium dynamics at the critical temperature in a class of glassy system. The off-equilibrium correlation and response functions obey a precise scaling form in the aging regime. The structure of the {\it equilibrium}…

Disordered Systems and Neural Networks · Physics 2013-03-18 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

There are deep analogies between the melting dynamics in systems with a first order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first order transition - namely…

Statistical Mechanics · Physics 2011-01-25 Florent Krzakala , Lenka Zdeborová

Inspired by the Kadanoff transformation in the standard renormalization group theory, we propose a temporal renormalization scheme. A Boltzmann factor that explicitly depends on the renormalized timescale is constructed, permitting…

Statistical Mechanics · Physics 2025-10-24 D. M. Zhang , D. Y. Sun , X. G. Gong

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…

Statistical Mechanics · Physics 2023-12-05 Zohar Nussinov

The stiff-glass approximation of the mode-coupling theory of the glass-transition--as introduced in a recent paper by G\"otze and Mayr for a discussion of phenomena resembling the Boson Peak and High-Frequency Sound observations made in…

Soft Condensed Matter · Physics 2009-11-07 Th. Voigtmann

Given the vast differences in interaction details, describing the dynamics of structurally disordered materials in a unified theoretical framework presents a fundamental challenge to condensed-matter physics and materials science. Here, we…

Soft Condensed Matter · Physics 2025-08-12 Liang Gao , Hai-Bin Yu , Thomas B. Schrøder , Jeppe C. Dyre

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…

Statistical Mechanics · Physics 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

Sticky hard spheres, i.e., hard particles decorated with a short-ranged attractive interaction potential, constitute a relatively simple model with highly non-trivial glassy dynamics. The mode-coupling theory of the glass transition (MCT)…

Soft Condensed Matter · Physics 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

We study in detail the predictions of various theoretical approaches, in particular mode-coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time, temperature, and wavevector dependence of multi-point correlation…

This work aims at reconsidering several interpretations coexisting in the recent literature concerning non-linear susceptibilities in supercooled liquids. We present experimental results on glycerol and propylene carbonate showing that the…

Disordered Systems and Neural Networks · Physics 2017-11-02 P. Gadige , S. Albert , M. Mich , Th. Bauer , P. Lunkenheimer , A. Loidl , R. Tourbot , C. Wiertel-Gasquet , G. Biroli , J. -P. Bouchaud , F. Ladieu

Stochastic-Beta-Relaxation (SBR) provides a characterisation of the glass crossover in discontinuous Spin-Glasses and Supercoooled liquid. Notably it can be derived through a rigorous computation from a dynamical Landau theory. In this…

Disordered Systems and Neural Networks · Physics 2019-06-25 Tommaso Rizzo

We show that the trap model at its critical temperature presents dynamical ultrametricity in the sense of Cugliandolo and Kurchan [CuKu94]. We use the explicit analytic solution of this model to discuss several issues that arise in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Bertin , J. -P. Bouchaud

A molecular dynamics simulation is performed for a supercooled liquid of rigid diatomic molecules. The time-dependent self and collective density correlators of the molecular centers of mass are determined and compared with the predictions…

Statistical Mechanics · Physics 2009-10-30 Stefan Kammerer , Walter Kob , Rolf Schilling
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