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We developed an analytical theoretical method to determine the microscopical structure of weakly to moderately sheared colloidal suspensions in dilute conditions. The microstructure is described by the static structure factor, obtained by…

Soft Condensed Matter · Physics 2022-05-25 Simone Riva , Luca Banetta , Alessio Zaccone

The pair correlation function of charge stabilized colloidal particles under strongly sheared conditions is studied using the analytical intermediate asymptotics method recently developed in [L. Banetta and A. Zaccone, Phys. Rev. E 99,…

Soft Condensed Matter · Physics 2021-02-04 Luca Banetta , Alessio Zaccone

We combine a heuristic theory of geometric percolation and the Smoluchowski theory of colloid dynamics to predict the impact of shear flow on the percolation threshold of hard spherical colloidal particles, and verify our findings by means…

Soft Condensed Matter · Physics 2022-03-28 Ilian Pihlajamaa , René de Bruijn , Paul van der Schoot

We theoretically investigate general properties of driven (sheared) colloidal suspensions in confinement, based on methods of classical density functional theory. In the absence of an exact closed (Smoluchowski-) equation for the…

Statistical Mechanics · Physics 2015-06-18 Artem A. Aerov , Matthias Krüger

We present a density functional based closure of the pair Smoluchowski equation for Brownian particles under shear flow. Given an equilibrium free energy functional as input the theory provides first-principles predictions for the…

Soft Condensed Matter · Physics 2013-06-04 J. Reinhardt , F. Weysser , J. M. Brader

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

Using a novel approximation scheme within the convective diffusion (two body Smoluchowski) equation framework, we unveil the shear-driven aggregation mechanism at the origin of structure-formation in sheared colloidal systems. The theory,…

Soft Condensed Matter · Physics 2010-02-24 Alessio Zaccone , Daniele Gentili , Hua Wu , Massimo Morbidelli

We image the flow of a nearly random close packed, hard-sphere colloidal suspension (a `paste') in a square capillary using confocal microscopy. The flow consists of a `plug' in the center while shear occurs localized adjacent to the…

Soft Condensed Matter · Physics 2009-11-13 Lucio Isa , Rut Besseling , Wilson C K Poon

A mode-coupling theory for the motion of a strongly forced probe particle in a dense colloidal suspension is presented. Starting point is the Smoluchowski equation for $N$ bath and a single probe particle. The probe performs Brownian motion…

Soft Condensed Matter · Physics 2015-06-11 Igor Gazuz , Matthias Fuchs

A theory is presented for the onset of shear thickening in colloidal suspensions of particles, stabilized by an electrostatic repulsion. Based on an activation model a critical shear stress can be derived for the onset of shear thickening…

Soft Condensed Matter · Physics 2011-07-26 Joachim Kaldasch , Bernhard Senge , Jozua Laven

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,…

Soft Condensed Matter · Physics 2008-10-15 Matthias Fuchs

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…

Soft Condensed Matter · Physics 2018-06-07 Markus Gross , Fathollah Varnik

We use the extension of scaled particle theory (ESPT) presented in the accompanying paper [Stillinger et al. J. Chem. Phys. xxx, xxx (2007)] to calculate numerically pair correlation function of the hard sphere fluid over the density range…

Statistical Mechanics · Physics 2009-11-11 Swaroop Chatterjee , Pablo G. Debenedetti , Frank H. Stillinger

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…

Soft Condensed Matter · Physics 2009-11-11 J. M. Brader , T. Voigtmann , M. E. Cates , M. Fuchs

The effect of velocity correlations on the equal-time density autocorrelation function, e.g. the pair distribution function or pdf, of a hard-sphere fluid undergoing shear flow is investigated. The pdf at contact is calculated within the…

Statistical Mechanics · Physics 2009-11-07 James F. Lutsko

Using a dynamical density functional theory we analyze the density profile of a colloidal liquid near a wall under shear flow. Due to the symmetries of the system considered, the naive application of dynamical density functional theory does…

Soft Condensed Matter · Physics 2015-05-20 J. M. Brader , M. Krüger

We report experiments on hard sphere colloidal glasses that reveal a type of shear banding hitherto unobserved in soft glasses. We present a scenario that relates this to an instability arising from shear-concentration coupling, a mechanism…

Soft Condensed Matter · Physics 2015-05-19 R. Besseling , L. Isa , P. Ballesta , G. Petekidis , M. E. Cates , W. C. K. Poon

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

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

A model of shear thickening in dense suspensions of Brownian soft sphere colloidal particles is established. It suggests that shear thickening in soft sphere suspensions can be interpreted as a shear induced phase transition. Based on a…

Soft Condensed Matter · Physics 2015-01-12 Joachim Kaldasch , Bernhard Senge , Jozua Laven
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