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The predictions of the mode-coupling theory of the glass transition (MCT) for the tagged-particle density-correlation functions and the mean-squared displacement curves are compared quantitatively and in detail to results from Newtonian-…

统计力学 · 物理学 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

A relation between equilibrium, steady-state, and waiting-time dependent dynamical two-time correlation functions in dense glass-forming liquids subject to homogeneous steady shear flow is discussed. The systems under study show pronounced…

软凝聚态物质 · 物理学 2015-05-18 Matthias Krüger , Fabian Weysser , Thomas Voigtmann

We extend the conventional mode-coupling theory of supercooled liquids to systems under stationary shear flow. Starting from generalized fluctuating hydrodynamics, a nonlinear equation for the intermediate scattering function is…

统计力学 · 物理学 2009-11-10 Kunimasa Miyazaki , David R. Reichman

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…

软凝聚态物质 · 物理学 2009-11-07 M. E. Cates

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…

软凝聚态物质 · 物理学 2023-10-20 Vincent E. Debets , Liesbeth M. C. Janssen

Generalized mode-coupling theory (GMCT) has recently emerged as a promising first-principles theory to study the poorly understood dynamics of glass-forming materials. Formulated as a hierarchical extension of standard mode-coupling theory…

软凝聚态物质 · 物理学 2021-12-21 Vincent E. Debets , Chengjie Luo , Simone Ciarella , Liesbeth M. C. Janssen

It is well known that mode coupling theory (MCT) leads to a two step power-law time decay in dense simple fluids. We show that much of the mathematical machinery used in the MCT analysis can be taken over to the analysis of the systematic…

统计力学 · 物理学 2015-06-15 Paul Spyridis , Gene F. Mazenko

The shrinking core model describes the reaction of a spherical solid particle with a surrounding fluid. In this work, we revisit the SCM by deriving it from the underlying physical processes and performing a careful non-dimensionalisation,…

其他凝聚态物理 · 物理学 2025-08-05 Cristian Moreno-Pulido , Rachael Olwande , Tim Myers , Francesc Font

The emergence of glassy dynamics and the glass transition in dense disordered systems is still not fully understood theoretically. Mode-coupling theory (MCT) has shown to be effective in describing some of the non-trivial features of glass…

软凝聚态物质 · 物理学 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

Coupled mode theory (CMT) is a powerful framework for decomposing interactions between electromagnetic waves and scattering bodies into resonances and their couplings with power-carrying channels. It has widespread use in few-resonance,…

光学 · 物理学 2020-10-22 Hanwen Zhang , Owen D. Miller

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…

软凝聚态物质 · 物理学 2007-05-23 V. Krakoviack

We derive the generalized Green-Kubo relation and an integral form of the fluctuation theorem that apply to uniformly sheared granular systems in which microscopic time-reversal symmetry is broken. The former relation provides an exact…

统计力学 · 物理学 2009-06-11 Song-Ho Chong , Michio Otsuki , Hisao Hayakawa

Using a molecular dynamics computer simulation we determine the temperature dependence of the partial structure factors for a binary Lennard-Jones system. These structure factors are used as input data to solve numerically the wave-vector…

凝聚态物理 · 物理学 2016-08-31 Markus Nauroth , Walter Kob

We study the dynamics of a one-component liquid constrained on a spherical substrate, a 2-sphere, and investigate how the mode-coupling theory (MCT) can describe the new features brought by the presence of curvature. To this end we have…

软凝聚态物质 · 物理学 2015-09-30 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

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

In this letter, we develop a mode-coupling theory for a class of nonlinear Langevin equations with multiplicative noise using a field theoretic formalism. These equations are simplified models of realistic colloidal suspensions. We prove…

统计力学 · 物理学 2009-11-10 Kunimasa Miyazaki , David R. Reichman

By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating…

统计力学 · 物理学 2016-12-28 Roman Belousov , E. G. D. Cohen

Coupled-cluster (CC) theory and Green's function many-body perturbation theory (MBPT) have long evolved as distinct yet complementary frameworks for describing electronic correlation. While CC methods employ exponential wavefunction…

We present a generalized mode-coupling theory for a dense binary fluid mixture. The theory is used to calculate molecular-scale renormalizations to the stress-tensor autocorrelation function (STAF) and to the long-wavelength zero-frequency…

软凝聚态物质 · 物理学 2009-11-11 Supurna Sinha , M. Cristina Marchetti

Computer simulations were used to study the gel transition occurring in colloidal systems with short range attractions. A colloid-polymer mixture was modelled and the results were compared with mode coupling theory expectations and with the…

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