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The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

The kinetic glass transition in short-range attractive colloids is theoretically studied by time-convolutionless mode-coupling theory (TMCT). By numerical calculations, TMCT is shown to recover all the remarkable features predicted by the…

Disordered Systems and Neural Networks · Physics 2017-03-15 Takayuki Narumi , Michio Tokuyama

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

The question about the existence of a structural glass transition in two dimensions is studied using mode coupling theory (MCT). We determine the explicit d-dependence of the memory functional of mode coupling for one-component systems.…

Soft Condensed Matter · Physics 2009-11-13 M. Bayer , J. Brader , F. Ebert , E. Lange , M. Fuchs , G. Maret , R. Schilling , M. Sperl , J. P. Wittmer

The binary Voronoi mixture is a fluid model whose interactions are local and many-body. Here we perform molecular-dynamics (MD) simulations of an equimolar mixture that is weakly polydisperse and additive. For the first time we study the…

Disordered Systems and Neural Networks · Physics 2020-12-30 Céline Ruscher , Simone Ciarella , Chengjie Luo , Liesbeth M. C. Janssen , Jean Farago , Jörg Baschnagel

Idealized glass transitions are discussed within a novel mode-coupling theory (TMCT) proposed by Tokuyama(Physica A 395,31(2014)). This is done in order to identify common grounds with and differences to the conventional mode-coupling…

Statistical Mechanics · Physics 2015-04-23 Wolfgang Götze , Rolf Schilling

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

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 investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

Soft Condensed Matter · Physics 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

Glass-to-glass and liquid-to-liquid phase transitions are observed in bulk and confined water, with or without applied pressure. They result from the competition of two liquid phases separated by an enthalpy difference depending on…

Disordered Systems and Neural Networks · Physics 2017-11-21 Robert F. Tournier

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 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

For over 30 years, mode-coupling theory (MCT) has been the de facto theoretic description of dense fluids and the liquid-glass transition. MCT, however, is limited by its ad hoc construction and lacks a mechanism to institute corrections.…

Soft Condensed Matter · Physics 2015-08-12 David D. McCowan

We present computer simulations of a simple bead-spring model for polymer melts with intramolecular barriers. By systematically tuning the strength of the barriers, we investigate their role on the glass transition. Dynamic observables are…

Soft Condensed Matter · Physics 2015-05-14 Marco Bernabei , Angel J. Moreno , Juan Colmenero

The effect of long wavelength fluctuations on the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime is studied by means of the standard field-theoretical procedure for a genuine second-order phase transition.…

Disordered Systems and Neural Networks · Physics 2015-06-19 Tommaso Rizzo

Mode-coupling theory (MCT) constitutes one of the few first-principles-based approaches to describe the physics of the glass transition, but the theory's inherent approximations compromise its accuracy in the activated glassy regime. Here…

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

The formal structure of glass singularities in the mode-coupling theory (MCT) of supercooled liquids dynamics is closely related to that appearing in the analysis of heterogeneous bootstrap percolation on Bethe lattices, random graphs and…

Statistical Mechanics · Physics 2015-03-20 Mauro Sellitto

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 argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and…

Statistical Mechanics · Physics 2015-06-25 Giulio Biroli , Jean-Philippe Bouchaud

A toy model is proposed which incorporates the reversible mode coupling mechanism responsible for ergodic-nonergodic transition with trivial Hamiltonian in the mode coupling theory (MCT) of structural glass transition. The model can be…

Statistical Mechanics · Physics 2009-10-31 Kyozi Kawasaki , Bongsoo Kim