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The colloidal gel and glass transitions are investigated using the idealized mode coupling theory (MCT) for model systems characterized by short-range attractive interactions. Results are presented for the adhesive hard sphere and hard core…

Soft Condensed Matter · Physics 2009-10-31 J. Bergenholtz , M. Fuchs

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…

Statistical Mechanics · Physics 2023-11-29 I. Pihlajamaa , V. E. Debets , C. C. L. Laudicina , L. M. C. Janssen

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…

The yield stress is a defining feature of amorphous materials which is difficult to analyze theoretically, because it stems from the strongly non-linear response of an arrested solid to an applied deformation. Mode-coupling theory predicts…

Statistical Mechanics · Physics 2013-11-14 Atsushi Ikeda , Ludovic Berthier

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…

Soft Condensed Matter · Physics 2010-04-16 David R. Reichman , Patrick Charbonneau

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions along the confining direction restore…

Soft Condensed Matter · Physics 2020-09-03 Lukas Schrack , Charlotte F. Petersen , Gerhard Jung , Michele Caraglio , Thomas Franosch

Many qualitative observations on the glass transition in classical fluids are well described by the mode coupling theory (MCT) but the extent of the non-ergodicity domain is often over-estimated by this theory. Making it more quantitative…

Statistical Mechanics · Physics 2012-10-04 S. Amokrane , F. Tchangnwa Nya , J. M. Ndjaka

A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions for shear-dependent steady-state averages, such as correlation and structure…

Soft Condensed Matter · Physics 2009-07-02 Matthias Fuchs , Michael E. Cates

As one increases the concentration of a colloidal suspension, the system exhibits a dramatic increase in viscosity. Structurally, the system resembles a liquid, yet motions within the suspension are slow enough that it can be considered…

Soft Condensed Matter · Physics 2012-05-22 Gary L. Hunter , Eric R. Weeks

We review the nature of glass transitions and the glasses arising from a square-well potential with a narrow and deep well. Our discussion is based on the Mode Coupling Theory, and the predictions of glasses that we make refer to the…

Soft Condensed Matter · Physics 2009-10-31 E. Zaccarelli , G. Foffi , K. A. Dawson , F. Sciortino , P. Tartaglia

We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory (MCT) at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement…

Soft Condensed Matter · Physics 2013-03-14 Saroj Kumar Nandi , Sarika Maitra Bhattacharyya , Sriram Ramaswamy

Recent experiments performed on a variety of soft glassy materials have demonstrated that any imposed shear flow serves to simultaneously fluidize these systems in all spatial directions [Ovarlez \textit{et al.} (2010)]. When probed with a…

Soft Condensed Matter · Physics 2012-02-27 T. F. F. Farage , J. M. Brader

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…

Soft Condensed Matter · Physics 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

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…

Soft Condensed Matter · Physics 2015-06-10 Huai Ding , Mengkai Feng , Huijun Jiang , Zhonghuai Hou

We present simulation results addressing the dynamics of a colloidal system with attractive interactions close to gelation. Our interaction also has a soft, long range repulsive barrier which suppresses liquid-gas type phase separation at…

Soft Condensed Matter · Physics 2007-05-23 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

The element of metastability is incorporated in the fluctuating nonlinear hydrodynamic description of the mode coupling theory (MCT) of the liquid-glass transition. This is achieved through the introduction of the defect density variable…

Condensed Matter · Physics 2009-10-22 Joonhyun Yeo , Gene F. Mazenko

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…

Soft Condensed Matter · Physics 2023-10-20 Vincent E. Debets , Liesbeth M. C. Janssen

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…

Soft Condensed Matter · Physics 2023-05-10 Gerhard Jung , Thomas Franosch

We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the…

Disordered Systems and Neural Networks · Physics 2012-08-24 Jeferson J. Arenzon , Mauro Sellitto

Concentrated colloidal suspensions are a well-tested model system which has a glass transition. Colloids are suspensions of small solid particles in a liquid, and exhibit glassy behavior when the particle concentration is high; the…

Soft Condensed Matter · Physics 2010-10-01 Luca Cipelletti , Eric R. Weeks