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We study by molecular dynamics computer simulation a binary soft-sphere mixture that shows a pronounced decoupling of the species' long-time dynamics. Anomalous, power-law-like diffusion of small particles arises, that can be understood as…

Statistical Mechanics · Physics 2013-05-29 Th. Voigtmann , J. Horbach

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

We study the nonlinear rheology of a glass-forming binary mixture under the reversal of shear flow using molecular dynamics simulations and a schematic model of the mode-coupling theory of the glass transition (MCT). Memory effects lead to…

Soft Condensed Matter · Physics 2015-06-12 Fabian Frahsa , Amit Kumar Bhattacharjee , Jürgen Horbach , Matthias Fuchs , Thomas Voigtmann

There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , A. Ikeda , J. A. van Meel , K. Miyazaki

The equations of fluctuating nonlinear hydrodynamics for a two component mixture are obtained with a proper choice of slow variables which correspond to the conservation laws in the system. Using these nonlinear equations we construct the…

Statistical Mechanics · Physics 2016-01-20 Madhu Priya , Neeta Bidhoodi , Shankar P. Das

We present a theory for the dynamics of a binary mixture with particle size swaps. The theory is based on a factorization approximation similar to that employed in the mode-coupling theory of glassy dynamics. The theory shows that, in…

Soft Condensed Matter · Physics 2018-11-14 Grzegorz Szamel

We use a simple mode-coupling approach to investigate glassy dynamics of partially pinned fluid systems. Our approach is different from the mode-coupling theory developed by Krakoviack [Phys. Rev. Lett. 94, 065703 (2005), Phys. Rev. E 84,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Grzegorz Szamel , Elijah Flenner

We investigate the properties of a class of mode-coupling equations for the glass transition where the density mode decays into multiple relaxation channels. We prove the existence and uniqueness of the solutions for Newtonian as well as…

Soft Condensed Matter · Physics 2014-01-08 Simon Lang , Rolf Schilling , Thomas Franosch

Two coarse-grained models for polymer chains in dense glass-forming polymer melts are studied by computer simulation: the bond-fluctuation model on a simple cubic lattice, where a bond-length potential favors long bonds, is treated by…

Soft Condensed Matter · Physics 2007-05-23 K. Binder , J. Baschnagel , C. Bennemann , W. Paul

Mode coupling theory (MCT) has had notable successes in addressing the rheology of hard-sphere colloidal glasses, and also soft colloidal glasses such as star-polymers. Here, we explore the properties of a recently developed MCT-based…

Soft Condensed Matter · Physics 2012-03-30 Th. Voigtmann , J. M. Brader , M. Fuchs , M. E. Cates

We derive a mode-coupling theory for the slow dynamics of fluids confined in disordered porous media represented by spherical particles randomly placed in space. Its equations display the usual nonlinear structure met in this theoretical…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack

In the mode coupling theory of the liquid to glass transition the long time structural relaxation follows from equations solely determined by equilibrium structural parameters. The present extension of these structural relaxation equations…

Soft Condensed Matter · Physics 2017-02-08 M. Fuchs , Th. Voigtmann

We demonstrate how the matrix-valued mode-coupling theory of the glass transition and glassy dynamics in planar confinement converges to the corresponding theory for two-dimensional (2D) planar and the three-dimensional bulk liquid,…

Soft Condensed Matter · Physics 2015-01-12 Simon Lang , Rolf Schilling , Thomas Franosch

Dense or glassy active matter, as a result of its remarkable resemblance to passive glass-forming materials, is enjoying increasing scientific interest. To better grasp the subtle effect of active motion on the process of vitrification, a…

Soft Condensed Matter · Physics 2023-10-20 Vincent E. Debets , Liesbeth M. C. Janssen

Generalized mode-coupling theory (GMCT) constitutes a systematically correctable, first-principles theory to study the dynamics of supercooled liquids and the glass transition. It is a hierarchical framework that, through the incorporation…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from rational foundations in statistical…

Soft Condensed Matter · Physics 2007-05-23 M. E. Cates , C. B. Holmes , M. Fuchs , O. Henrich

The high-pressure dynamics of a computer-modeled silica melt is studied in the framework of the mode-coupling theory of the glass transition (MCT) using static-structure input from molecular-dynamics (MD) computer simulation. The theory…

Materials Science · Physics 2009-11-13 Th. Voigtmann , J. Horbach

I review recent progress in understanding the arrest and flow behaviour of colloidal glasses, based on mode coupling theory (MCT) and related approaches. MCT has had notable recent successes in predicting the re-entrant arrest behaviour of…

Soft Condensed Matter · Physics 2009-11-07 M. E. Cates

We show that the glass transition predicted by the Mode-Coupling Theory (MCT) is a critical phenomenon with a diverging length and time scale associated to the cooperativity of the dynamics. We obtain the scaling exponents nu and z that…

Statistical Mechanics · Physics 2009-11-10 Giulio Biroli , Jean-Philippe Bouchaud

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