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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

We derive a mode-coupling theory (MCT) to describe the dynamics of tracer particles in dense systems of active Brownian particles (ABPs) in two spatial dimensions. The ABP undergo translational and rotational Brownian dynamics, and are…

软凝聚态物质 · 物理学 2021-11-03 Julian Reichert , Suvendu Mandal , Thomas Voigtmann

We present a mode-coupling theory (MCT) for the high-density dynamics of two-dimensional spherical active Brownian particles (ABP). The theory is based on the integration-through-transients (ITT) formalism and hence provides a starting…

软凝聚态物质 · 物理学 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann

The mode-coupling theory (MCT) of the glass transition ranks among the most successful first-principles kinetic theories to describe glassy dynamics. However, MCT does not fully account for crucial aspects of the dynamics near the glass…

软凝聚态物质 · 物理学 2024-08-22 Ilian Pihlajamaa , Liesbeth M. C. Janssen

Understanding the physics of glass formation remains one of the major unsolved challenges of condensed matter science. As a material solidifies into a glass, it exhibits a spectacular slowdown of the dynamics upon cooling or compression,…

统计力学 · 物理学 2018-10-03 Liesbeth M. C. Janssen

We discuss recent advances in developing a mode-coupling theory of the glass transition (MCT) of two-dimensional systems of active Brownian particles (ABP). We specifically discuss the case of a single ABP tracer in a glass-forming passive…

软凝聚态物质 · 物理学 2020-12-15 Julian Reichert , Leon Granz , Thomas Voigtmann

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

We analyze the glassy dynamics of a binary mixtures of hard disks in two dimensions. Predictions of the Mode-Coupling theory(MCT) are tested with extensive Brownian dynamics simulations. Measuring the collective particle density correlation…

软凝聚态物质 · 物理学 2011-04-27 Fabian Weysser , David Hajnal

We develop a mode coupling theory(MCT) to study the nonequilibrium glass transition behavior of a mono-disperse mixture of active-passive hard-sphere particles. The MCT equations clearly demonstrate that the glass transition is shifted to…

软凝聚态物质 · 物理学 2015-06-10 Huai Ding , Mengkai Feng , Huijun Jiang , Zhonghuai Hou

Sticky hard spheres, i.e., hard particles decorated with a short-ranged attractive interaction potential, constitute a relatively simple model with highly non-trivial glassy dynamics. The mode-coupling theory of the glass transition (MCT)…

软凝聚态物质 · 物理学 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

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

We present mode-coupling equations for the description of the slow dynamics observed in supercooled molecular liquids close to the glass transition. The mode-coupling theory (MCT) originally formulated to study the slow relaxation in simple…

软凝聚态物质 · 物理学 2009-10-31 L. Fabbian , A. Latz , R. Schilling , F. Sciortino , P. Tartaglia , C. Theis

The mode-coupling theory of the glass transition (MCT) has been at the forefront of fundamental glass research for decades, yet the theory's underlying approximations remain obscure. Here we quantify and critically assess the effect of each…

统计力学 · 物理学 2023-11-29 I. Pihlajamaa , V. E. Debets , C. C. L. Laudicina , L. M. C. Janssen

We present a promising mode coupling theory study for the relaxation and glassy dynamics of a system of strongly interacting self-propelled particles, wherein the self-propulsion force is described by Ornstein-Uhlenbeck colored noise and…

软凝聚态物质 · 物理学 2017-02-28 Mengkai Feng , Zhonghuai Hou

We study in detail the predictions of various theoretical approaches, in particular mode-coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time, temperature, and wavevector dependence of multi-point correlation…

We present mode-coupling theory (MCT) results for densely packed hard-sphere fluids confined between two parallel walls and compare them quantitatively to computer simulations. The numerical solution of MCT is calculated for the first time…

软凝聚态物质 · 物理学 2023-05-10 Gerhard Jung , Thomas Franosch

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

软凝聚态物质 · 物理学 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

Recent years have seen a rapid increase of interest in dense active materials, which, in the disordered state, share striking similarities with conventional passive glass-forming matter. For such passive glassy materials, it is well…

软凝聚态物质 · 物理学 2022-12-13 Vincent E. Debets , Liesbeth M. C. Janssen

In this set of lecture notes we review the mode-coupling theory of the glass transition from several perspectives. First, we derive mode-coupling equations for the description of density fluctuations from microscopic considerations with the…

软凝聚态物质 · 物理学 2010-04-16 David R. Reichman , Patrick Charbonneau

The predictions of the mode-coupling theory (MCT) for the dynamical arrest scenarios in a partly pinned (PP) fluid system are reported. The corresponding dynamical phase diagram is found to be very similar to that of a related…

无序系统与神经网络 · 物理学 2011-11-21 Vincent Krakoviack
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