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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…

软凝聚态物质 · 物理学 2009-11-13 Song-Ho Chong , Bongsoo Kim

We study the dynamics of a tagged particle in a glassy system under shear. The recently developed integration through transients approach based on mode coupling theory, is continued to arrive at the equations for the tagged particle…

软凝聚态物质 · 物理学 2011-07-07 Matthias Krüger , Fabian Weysser , Matthias Fuchs

The lack of clarity of various mode-coupling theory (MCT) approximations, even in equilibrium,makes it hard to understand the relation between various MCT approaches for sheared steady states as well as their regime of validity. Here we try…

软凝聚态物质 · 物理学 2016-05-20 Saroj Kumar Nandi

Starting from the microscopic Smoluchowski equation for interacting Brownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are…

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

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

软凝聚态物质 · 物理学 2019-05-01 Grzegorz Szamel

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

Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from rational foundations in statistical…

软凝聚态物质 · 物理学 2007-05-23 M. E. Cates , C. B. Holmes , M. Fuchs , O. Henrich

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 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 nonlinear rheological properties of dense colloidal suspensions under steady shear are discussed within a first principles approach. It starts from the Smoluchowski equation of interacting Brownian particles in a given shear flow,…

软凝聚态物质 · 物理学 2008-10-15 Matthias Fuchs

Brownian dynamics simulations of bidisperse hard discs moving in two dimensions in a given steady and homogeneous shear flow are presented close to and above the glasstransition density. The stationary structure functions and stresses of…

软凝聚态物质 · 物理学 2010-01-20 O. Henrich , F. Weysser , M. E. Cates , 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

Mode-coupling theory (MCT) of sheared dense granular liquids %in the vicinity of jamming transition is formulated. Starting from the Liouville equation of granular particles, the generalized Langevin equation is derived with the aid of the…

统计力学 · 物理学 2009-09-30 Hisao Hayakawa , Michio Otsuki

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

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 consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by shearing (ignoring fluctuations in fluid…

软凝聚态物质 · 物理学 2009-11-11 J. M. Brader , T. Voigtmann , M. E. Cates , M. Fuchs

The stress versus strain curves in dense colloidal dispersions under start-up shear flow are investigated combining experiments on model core-shell microgels, computer simulations of hard disk mixtures, and mode coupling theory. In dense…

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…

软凝聚态物质 · 物理学 2009-11-10 Kunimasa Miyazaki , Ryoichi Yamamoto , David R. Reichman

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

Flow behavior of a single-component yield stress fluid is addressed on the hydrodynamic level. A basic ingredient of the model is a coupling between fluctuations of density and velocity gradient via a Herschel-Bulkley-type constitutive…

软凝聚态物质 · 物理学 2018-06-07 Markus Gross , Fathollah Varnik
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