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The Random First Order Transition (RFOT) theory of glasses provides a unified framework for explaining the observed correlations of the kinetic and thermodynamic behaviors of glass-forming liquids having a wide variety of chemical…

Soft Condensed Matter · Physics 2025-07-29 M. H. Brown , P. G. Wolynes

We describe experimentally observed collective dynamics in colloidal suspensions of model hard-sphere particles using a modified mode coupling theory (MCT). This rescaled MCT is capable to describe quantitatively the wave-vector and…

Soft Condensed Matter · Physics 2024-03-08 Joel Diaz Maier , Joachim Wagner

The validity of mode coupling theory (MCT) is restricted by an uncontrolled factorization approximation of density correlations. The factorization can be delayed and ultimately avoided, however, by explicitly including higher order…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Kunimasa Miyazaki , David R. Reichman

It is demonstrated that the susceptibility spectra of supercooled propylene carbonate as measured by depolarized-light-scattering, dielectric-loss, and incoherent quasi-elastic neutron-scattering spectroscopy within the GHz window are…

Soft Condensed Matter · Physics 2015-06-24 W. Gotze , Th. Voigtmann

We utilize the lattice cluster theory (LCT) of polymer fluids to show that the configurational entropy, enthalpy, and internal energy are all closely interrelated, as suggested by recent measurements by Caruthers and Medvedev, so that the…

Soft Condensed Matter · Physics 2023-01-11 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

We report results of molecular-dynamics simulations of a model polymer melt consisting of short non-entangled chains in the supercooled state above the critical temperature of mode-coupling theory (MCT). To analyse the dynamics of the…

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

We show that facilitated spin mixtures with a tunable facilitation reproduce, on a Bethe lattice, the simplest higher-order singularity scenario predicted by the mode-coupling theory (MCT) of liquid-glass transition. Depending on the…

Disordered Systems and Neural Networks · Physics 2011-01-04 Mauro Sellitto , Daniele De Martino , Fabio Caccioli , Jeferson J. Arenzon

We report idealized mode-coupling theory results for the glass transition of ensembles of model fullerenes interacting via phenomenological two-body potentials. Transition lines are found for C60, C70 and C96 in the temperature-density…

Statistical Mechanics · Physics 2007-05-23 M. J. Greenall , Th. Voigtmann

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

We extend Mode-Coupling Theory (MCT) to inhomogeneous situations, relevant for supercooled liquid in pores, close to a surface, or in an external field. We compute the response of the dynamical structure factor to a static inhomogeneous…

Statistical Mechanics · Physics 2009-11-11 Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman

We performed extensive molecular dynamics (MD) simulations, supplemented by Mode Coupling Theory (MCT) calculations, for the Square Shoulder (SS) model, a purely repulsive potential where the hard-core is complemented by a finite shoulder.…

Soft Condensed Matter · Physics 2015-06-15 Gayatri Das , Nicoletta Gnan , Francesco Sciortino , Emanuela Zaccarelli

We present a theory for the single-particle dynamics in binary mixtures with particle size swaps. The general structure of the theory follows that of the theory for the collective dynamics in binary mixtures with particle size swaps, which…

Soft Condensed Matter · Physics 2019-11-18 Grzegorz Szamel

The element of metastability is incorporated in the fluctuating nonlinear hydrodynamic description of the mode coupling theory (MCT) of the liquid-glass transition. This is achieved through the introduction of the defect density variable…

Condensed Matter · Physics 2009-10-22 Joonhyun Yeo , Gene F. Mazenko

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

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…

Materials Science · Physics 2015-05-27 Joel Berry , Martin Grant

The aim of this paper is to test numerically the predictions of the Mode Coupling Theory (MCT) of the glass transition and study its finite size scaling properties in a model with an exact MCT transition, which we choose to be the fully…

Disordered Systems and Neural Networks · Physics 2009-09-24 Thomas Sarlat , Alain Billoire , Giulio Biroli , Jean-Philippe Bouchaud

We report recent progress on the test of mode coupling theory for molecular liquids (MMCT) for molecules of arbitrary shape. The MMCT equations in the long time limit are solved for supercooled water including all molecular degrees of…

Soft Condensed Matter · Physics 2007-05-23 C. Theis , F. Sciortino , A. Latz , R. Schilling , P. Tartaglia

We report a study of the mode-coupling theory (MCT) glass transition line for the Girifalco model of C60 fullerene. The equilibrium static structure factor of the model, the only required input for the MCT calculations, is provided by…

Soft Condensed Matter · Physics 2007-05-23 D. Costa , R. Ruberto , F. Sciortino , M. C. Abramo , C. Caccamo

We numerically study dynamical properties of the one-component Gaussian Core Model in the supercooled states. We find that nucleation is suppressed as density increases. Concomitantly the system exhibits glassy slow dynamics characterized…

Soft Condensed Matter · Physics 2015-05-19 Atsushi Ikeda , Kunimasa Miyazaki

We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection…

Statistical Mechanics · Physics 2020-07-20 Lukas Schrack , Thomas Franosch
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