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Within the mode-coupling theory for ideal glass transitions, an analysis for the correlation functions of glass-forming systems for states near higher-order glass-transition singularities is presented. It is shown that the solutions of the…

软凝聚态物质 · 物理学 2007-05-23 W. Gotze , M. Sperl

The transition from a liquid to a glass in colloidal suspensions of particles interacting through a hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When the width of the attractive…

软凝聚态物质 · 物理学 2007-05-23 K. Dawson , G. Foffi , M. Fuchs , W. Gotze , F. Sciortino , M. Sperl , P. Tartaglia , Th. Voigtmann , E. Zaccarelli

Within the mode-coupling theory for the evolution of structural relaxation, the A_4 glass-transition singularities are identified for systems of particles interacting with a hard-sphere repulsion complemented by different short-ranged…

软凝聚态物质 · 物理学 2007-05-23 W. Gotze , M. Sperl

We investigate the slow dynamics of a colloidal model with two repulsive length scales, whose interaction potential is the sum of a hard-core and a square shoulder. Despite the simplicity of the interactions, Mode-Coupling theory predicts a…

软凝聚态物质 · 物理学 2014-07-16 Nicoletta Gnan , Gayatri Das , Matthias Sperl , Francesco Sciortino , Emanuela Zaccarelli

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…

统计力学 · 物理学 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

Nearly-logarithmic decay of correlations, which was observed for several supercooled liquids in optical-Kerr-effect experiments [G. Hinze et al. Phys. Rev. Lett. 84, 2437(2000), H. Cang et al. Phys. Rev. Lett. 90, 197401 (2003)], is…

无序系统与神经网络 · 物理学 2007-05-23 W. Gotze , M. Sperl

A new theory for dynamics of concentrated colloidal suspensions and the colloidal glass transition is proposed. The starting point is the memory function representation of the density correlation function. The memory function can be…

软凝聚态物质 · 物理学 2009-11-10 Grzegorz Szamel

The correlation functions near higher-order glass-transition singularities are discussed for a schematic two-component model within the mode-coupling theory for ideal glass-transitions. The correlators decay in leading order like…

软凝聚态物质 · 物理学 2007-05-23 Matthias Sperl

A discrete--dynamics model, which is specified solely in terms of the system's equilibrium structure, is defined for the density correlators of a simple fluid. This model yields results for the evolution of glassy dynamics which are…

无序系统与神经网络 · 物理学 2011-08-12 T. Franosch , W. Götze , M. R. Mayr , A. P. Singh

We present an extensive treatment of the generalized mode-coupling theory (GMCT) of the glass transition, which seeks to describe the dynamics of glass-forming liquids using only static structural information as input. This theory amounts…

统计力学 · 物理学 2016-07-05 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

Within the framework of the mode-coupling theory of super-cooled liquids, we investigate new phenomena in colloidal systems on approach to their glass transitions. When the inter-particle potential contains an attractive part, besides the…

软凝聚态物质 · 物理学 2009-11-07 K. A. Dawson , G. Foffi , F. Sciortino , P. Tartaglia , E. Zaccarelli

Liquids near the glass transition exhibit dynamical heterogeneity, i.e. correlated regions in the liquid relax at either a much faster rate or a much slower rate than the average. This collective phenomenon has been characterized by…

软凝聚态物质 · 物理学 2023-01-06 Rajib K. Pandit , Elijah Flenner , Horacio E. Castillo

We use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

软凝聚态物质 · 物理学 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel

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…

软凝聚态物质 · 物理学 2014-01-08 Simon Lang , Rolf Schilling , Thomas Franosch

In this chapter, a study of the glass transitions in colloidal systems is presented, in connection with gelation, mainly from theoretical and simulation results. Mode Coupling Theory, which anticipated the existence of attraction driven…

软凝聚态物质 · 物理学 2008-10-06 Antonio M. Puertas , Matthias Fuchs

We discuss the slow relaxation phenomenon in glassy systems by means of replicas by constructing a static field theory approach to the problem. At the mean field level we study how criticality in the four point correlation functions arises…

统计力学 · 物理学 2013-02-28 Silvio Franz , Hugo Jacquin , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

Using computer simulations, we identify the mechanisms causing aggregation and structural arrest of colloidal suspensions interacting with a short-ranged attraction at moderate and high densities. Two different non-ergodicity transitions…

凝聚态物理 · 物理学 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially…

无序系统与神经网络 · 物理学 2009-10-31 M. Heerema , F. Ritort

Using molecular dynamics simulation, we investigate the slow dynamics of a supercooled binary mixture of soft particles interacting with a generalized Hertzian potential. At low density, it displays typical slow dynamics near its glass…

软凝聚态物质 · 物理学 2016-10-18 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

We present x-ray photon correlation spectroscopy measurements of the atomic dynamics in a Zr67Ni33 metallic glass, well below its glass transition temperature. We find that the decay of the density fluctuations can be well described by…

软凝聚态物质 · 物理学 2015-06-12 B. Ruta , G. Baldi , G. Monaco , Y. Chushkin
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