Nonlinear rheology of colloidal dispersions
arXiv:1008.4698 · doi:10.1088/0953-8984/22/36/363101
Abstract
Colloidal dispersions are commonly encountered in everyday life and represent an important class of complex fluid. Of particular significance for many commercial products and industrial processes is the ability to control and manipulate the macroscopic flow response of a dispersion by tuning the microscopic interactions between the constituents. An important step towards attaining this goal is the development of robust theoretical methods for predicting from first-principles the rheology and nonequilibrium microstructure of well defined model systems subject to external flow. In this review we give an overview of some promising theoretical approaches and the phenomena they seek to describe, focusing, for simplicity, on systems for which the colloidal particles interact via strongly repulsive, spherically symmetric interactions. In presenting the various theories, we will consider first low volume fraction systems, for which a number of exact results may be derived, before moving on to consider the intermediate and high volume fraction states which present both the most interesting physics and the most demanding technical challenges. In the high volume fraction regime particular emphasis will be given to the rheology of dynamically arrested states.
Review article
References in corpus (52)
- Rheology of Soft Glassy Materials
- Rheological constitutive equation for model of soft glassy materials
- Phase diagram of patchy colloids: towards empty liquids
- Colloidal Gels: Equilibrium and Non-Equilibrium Routes
- Ageing and Rheology in Soft Materials
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Differential Dynamic Microscopy: Probing wave vector dependent dynamics with a microscope
- Rheology of giant micelles
- Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
- Shear thickening of cornstarch suspensions as a re-entrant jamming transition
- Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
- Phenomenology and physical origin of shear-localization and shear-banding in complex fluids
- Three-dimensional imaging of colloidal glasses under steady shear
- A dynamic jamming point for shear thickening suspensions
- Two-time scales, two-temperature scenario for nonlinear rheology
- Glasses in hard spheres with short-range attraction
- Shear localization in a model glass
- Phase behavior of a fluid with competing attractive and repulsive interactions
- A study of the static yield stress in a binary Lennard-Jones glass
- Glasslike Arrest in Spinodal Decomposition as a Route to Colloidal Gelation
- Structure and dynamics of colloidal depletion gels: coincidence of transitions and heterogeneity
- Nonlinear viscoelasticity of metastable complex fluids
- Three-dimensional jamming and flows of soft glassy materials
- Glass Rheology: From mode-coupling theory to a dynamical yield criterion
- Scaling of dynamics with the range of interaction in short-range attractive colloids
- Schematic models for dynamic yielding of sheared colloidal glasses
- A mode coupling theory for Brownian particles in homogeneous steady shear flow
- Viscoelasticity and shear flow of concentrated, non-crystallizing colloidal suspensions: Comparison with Mode-Coupling Theory
- Time Resolved Correlation measurements of temporally heterogeneous dynamics
- Effect of Composition Changes on the Structural Relaxation of a Binary Mixture
- A First-Principles Constitutive Equation for Suspension Rheology
- Tagged-particle dynamics in a hard-sphere system: mode-coupling theory analysis
- Structural and dynamical features of multiple metastable glassy states in a colloidal system with competing interactions
- Slip and flow of hard-sphere colloidal glasses
- From Equilibrium to Steady State: The Transient Dynamics of Colloidal Liquids under Shear
- Supercooled Liquids Under Shear: Theory and Simulation
- A Molecular Hydrodynamic Theory of Supercooled Liquids and Colloidal Suspensions under Shear
- Shear stresses of colloidal dispersions at the glass transition in equilibrium and in flow
- Dynamic Glass Transition in Two Dimensions
- Dilatancy, Jamming, and the Physics of Granulation
- Glass transitions and shear thickening suspension rheology
- Dense colloidal suspensions under time-dependent shear
- Connections of activated hopping processes with the breakdown of the Stokes-Einstein relation and with aspects of dynamical heterogeneities
- A dynamic density functional theory for particles in a flowing solvent
- Flow curves of dense colloidal dispersions: schematic model analysis of the shear-dependent viscosity near the colloidal glass transition
- Integration through transients for Brownian particles under steady shear
- Structural relaxation and rheological response of a driven amorphous system
- Do current-density nonlinearities cut off the glass transition?
- Arrest and flow of colloidal glasses
- Effect of mixing and spatial dimension on the glass transition
- Structural precursor to freezing: An integral equation study
- Non--Newtonian viscosity of interacting Brownian particles: comparison of theory and data
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- The Physics of the Colloidal Glass Transition
- Nonlinear response of dense colloidal suspensions under oscillatory shear: Mode-coupling theory and FT-rheology experiments
- Power functional theory for Brownian dynamics
- Power functional theory for many-body dynamics
- Concentration Dependence of Rheological Properties of Telechelic Associative Polymer Solutions
- Start-up Shear of Concentrated Colloidal Hard Spheres: Stresses, Dynamics and Structure
- Density profiles of a colloidal liquid at a wall under shear flow
- Microstructure of a liquid complex (dusty) plasma under shear
- A multi-axis confocal rheoscope for studying shear flow of structured fluids
- Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics
- Velocity gradient power functional for Brownian dynamics
- First-Principles Constitutive Equation for Suspension Rheology
- Linear and nonlinear rheology of dense emulsions: Identifying the glass and jamming regimes
- Dynamic correlations in Brownian many-body systems
- Controlling colloidal sedimentation using time dependent shear
- Dynamics of localized particles from density functional theory
- Nonlinear rheology of dense colloidal systems with short-ranged attraction: A mode-coupling theory analysis
- Rheology of inelastic hard spheres at finite density and shear rate
- Theory of rheology in confinement
- Far-from-equilibrium Sheared Colloidal Liquids: Disentangling Relaxation, Advection, and Shear-induced Diffusion
- Density Functional approach to Nonlinear Rheology
- Three Dimensional Flow of Colloidal Glasses
- First-principles superadiabatic theory for the dynamics of inhomogeneous fluids
- Ratio of effective temperature to pressure controls the mobility of sheared hard spheres
- The rheology of confined colloidal hard discs
- Microrheology close to an equilibrium phase transition
- Localized elasticity governs the nonlinear rheology of colloidal supercooled liquids
- Far-from-Equilibrium Distribution from Near-Steady-State Work Fluctuations
- Microscopic theory for the pair correlation function of liquidlike colloidal suspensions under shear flow
- Normal-stress coefficients and rod climbing in colloidal dispersions
- Shear Thickening in Concentrated Soft Sphere Colloidal Suspensions: A Shear Induced Phase Transition
- Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear
- Shear-induced migration in colloidal suspensions
- Depinning dynamics of confined colloidal dispersions under oscillatory shear
- Dynamics of a suspension of interacting yolk-shell particles