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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…

无序系统与神经网络 · 物理学 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…

无序系统与神经网络 · 物理学 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…

无序系统与神经网络 · 物理学 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.…

软凝聚态物质 · 物理学 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…

无序系统与神经网络 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

无序系统与神经网络 · 物理学 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…

软凝聚态物质 · 物理学 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…

无序系统与神经网络 · 物理学 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…

软凝聚态物质 · 物理学 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…

统计力学 · 物理学 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.…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 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.…

无序系统与神经网络 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

统计力学 · 物理学 2009-10-31 Kyozi Kawasaki , Bongsoo Kim