English
Related papers

Related papers: Mode-coupling theory of sheared dense granular liq…

200 papers

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 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…

Disordered Systems and Neural Networks · Physics 2011-11-21 Vincent Krakoviack

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Bongsoo Kim

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…

Statistical Mechanics · Physics 2009-11-10 Kunimasa Miyazaki , David R. Reichman

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-…

Statistical Mechanics · Physics 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

Generalized mode-coupling theory (GMCT) constitutes a systematically correctable, first-principles theory to study the dynamics of supercooled liquids and the glass transition. It is a hierarchical framework that, through the incorporation…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

Mode-coupling theory for uniformly sheared underdamped systems with an isothermal condition is presented. As a result of the isothermal condition, it is shown that the shear stress exhibits significant relaxation at the alpha-relaxation…

Statistical Mechanics · Physics 2013-02-27 Koshiro Suzuki , Hisao Hayakawa

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,…

Optics · Physics 2020-10-22 Hanwen Zhang , Owen D. Miller

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

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…

Soft Condensed Matter · Physics 2024-08-22 Ilian Pihlajamaa , Liesbeth M. C. Janssen

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…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack

Mode-coupling theory (MCT) predicts arrest of colloids in terms of their volume fraction, and the range and depth of the interparticle attraction. We discuss how effective values of these parameters evolve under cluster aggregation. We…

Soft Condensed Matter · Physics 2009-11-10 K. Kroy , M. E. Cates , W. C. K. Poon

The presence of long-ranged correlations in a fluid undergoing uniform shear flow is investigated. An exact relation between the density autocorrelation function and the density-mometum correlation function implies that the former must…

Statistical Mechanics · Physics 2009-11-07 James F. Lutsko , J. W. Dufty

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…

Statistical Mechanics · Physics 2016-07-05 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

We generalize the mode-coupling theory of supercooled fluids to systems under stationary shear flow. Our starting point is the generalized fluctuating hydrodynamic equations with a convection term. The method is applied to a two dimensional…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Ryoichi Yamamoto , David R. Reichman

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…

Soft Condensed Matter · Physics 2011-04-27 Fabian Weysser , David Hajnal

We derive a microscopic theory for the structural dynamics in the vicinity of the glass transition for a liquid exposed to a one-dimensional periodic potential. The periodic potential breaks translational invariance, in particular, the…

Soft Condensed Matter · Physics 2025-09-10 Abolfazl Ahmadirahmat , Michele Caraglio , Vincent Krakoviack , Thomas Franosch

We describe experimentally observed collective dynamics in colloidal suspensions of model hard-sphere particles using a modified mode coupling theory (MCT). This rescaled MCT is capable to describe quantitatively the wave-vector and…

Soft Condensed Matter · Physics 2024-03-08 Joel Diaz Maier , Joachim Wagner

We apply the mode coupling theory (MCT) which was recently worked out for molecular liquids to a liquid of diatomic, rigid molecules. Using the static correlators from a molecular dynamics simulation, we have solved the MCT-equations for…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christoph Theis , Rolf Schilling

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield