First-Principles Constitutive Equation for Suspension Rheology
arXiv:1205.1890 · doi:10.1103/PhysRevE.86.021403
Abstract
We provide a detailed derivation of a recently developed first-principles approach to calculating averages in systems of interacting, spherical Brownian particles under time-dependent flow. Although we restrict ourselves to flows which are both homogeneous and incompressible, the time-dependence and geometry (e.g. shear, extension) are arbitrary. The approximations formulated within mode-coupling theory are particularly suited to dense colloidal suspensions and capture the slow relaxation arising from particle interactions and the resulting glass transition to an amorphous solid. The delicate interplay between slow structural relaxation and time-dependent external flow in colloidal suspensions may thus be studied within a fully tensorial theory.
References in corpus (18)
- Colloidal Gels: Equilibrium and Non-Equilibrium Routes
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Shear banding and flow-concentration coupling in colloidal glasses
- Glass Rheology: From mode-coupling theory to a dynamical yield criterion
- Schematic models for dynamic yielding of sheared colloidal glasses
- A mode coupling theory for Brownian particles in homogeneous steady shear flow
- Nonlinear response of dense colloidal suspensions under oscillatory shear: Mode-coupling theory and FT-rheology experiments
- Nonlinear rheology of colloidal dispersions
- A First-Principles Constitutive Equation for Suspension Rheology
- From Equilibrium to Steady State: The Transient Dynamics of Colloidal Liquids under Shear
- Supercooled Liquids Under Shear: Theory and Simulation
- Dense colloidal suspensions under time-dependent shear
- Integration through transients for Brownian particles under steady shear
- Structural relaxation and rheological response of a driven amorphous system
- Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear
- Nonequilibrium mode-coupling theory for uniformly sheared systems
- Schematic Mode Coupling Theory of Glass Rheology: Single and Double Step Strains
- Three Dimensional Flow of Colloidal Glasses
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- Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics
- Brownian systems with spatially inhomogeneous activity
- Nonlinear microrheology of dense colloidal suspensions: a mode-coupling theory
- Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
- Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. I. The isotropic case
- Green-Kubo approach to the average swim speed in active Brownian systems
- Linear response approach to active Brownian particles in time-varying activity fields
- Dynamic correlations in Brownian many-body systems
- Modeling the Relaxation of Polymer Glasses under Shear and Elongational Loads
- Density Functional approach to Nonlinear Rheology
- On the Bauschinger effect in supercoooled melts under shear: results from mode coupling theory and molecular dynamics simulations
- Transient stress evolution in repulsion and attraction dominated glasses
- Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain
- Localized elasticity governs the nonlinear rheology of colloidal supercooled liquids
- Normal-stress coefficients and rod climbing in colloidal dispersions
- Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear