Nonlinear rheology of dense colloidal systems with short-ranged attraction: A mode-coupling theory analysis

Abstract

The nonlinear rheology of glass-forming colloidal suspensions with short-ranged attractions is discussed within the integration-through transients framework combined with the mode-coupling theory of the glass transition (ITT-MCT). Calculations are based on the square-well system (SWS), as a model for colloid-polymer mixtures. The high-density regime featuring reentrant melting of the glass upon increasing the attraction strength, and the crossover from repulsive glasses formed at weak attraction to attractive glasses formed at strong attraction, are discussed. Flow curves are found in qualitative agreement with experimental data, featuring a strong increase in the yield stress, and, for suitable interaction parameters, the crossover between two yield stresses. The yield strain, defined as the position of the stress overshoot under startup flow, is found to be proportional to the attraction range for strong attraction. At weak and intermediate attraction strength, the combined effects of hard-core caging and attraction-driven bonding result in a richer dependence on the parameters. The first normal-stress difference exhibits a weaker dependence on short-ranged attractions as the shear stress, since the latter is more sensitive the short-wavelength features of the static structure.

arXiv comment14 pages, 12 figures

References in corpus (31)

• Higher order glass-transition singularities in colloidal systems with attractive interactions
• Theory of nonlinear rheology and yielding of dense colloidal suspensions
• Nonergodicity transitions in colloidal suspensions with attractive interactions
• Reentrant glass transition in a colloid-polymer mixture with depletion attractions
• Ideal glass-glass transitions and logarithmic decay of correlations in a simple system
• Glasses in hard spheres with short-range attraction
• Yielding and flow in adhesive and non-adhesive concentrated emulsions
• Comparative simulation study of colloidal gels and glasses
• Shear banding and flow-concentration coupling in colloidal glasses
• Glass Rheology: From mode-coupling theory to a dynamical yield criterion
• A cluster mode-coupling approach to weak gelation in attractive colloids
• Schematic models for dynamic yielding of sheared colloidal glasses
• A mode coupling theory for Brownian particles in homogeneous steady shear flow
• Simulation study of Non-ergodicity Transitions: Gelation in Colloidal Systems with Short Range Attractions
• Logarithmic Relaxation in Glass-Forming Systems
• Evidence of a higher-order singularity in dense short-ranged attractive colloids
• Dynamical heterogeneities close to a colloidal gel
• 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
• A Molecular Hydrodynamic Theory of Supercooled Liquids and Colloidal Suspensions under Shear
• Dense colloidal suspensions under time-dependent shear
• Logarithmic Relaxation in a Colloidal System
• Gel transitions in colloidal suspensions
• Colloidal gelation and non-ergodicity transitions
• Dynamics in Colloidal Liquids near a Crossing of Glass- and Gel-Transition Lines
• Viscoelastic properties of attractive and repulsive colloidal glasses
• Transient stress evolution in repulsion and attraction dominated glasses
• Yield stress in amorphous solids: A mode-coupling theory analysis
• Normal-stress coefficients and rod climbing in colloidal dispersions

Cited by in corpus (4)

• Start-up Shear of Concentrated Colloidal Hard Spheres: Stresses, Dynamics and Structure
• Microscopic theory of two-step yielding in attractive colloids
• Transient stress evolution in repulsion and attraction dominated glasses
• Microscopic Theory of the Elastic Shear Modulus and Length-Scale-Dependent Dynamic Re-Entrancy Phenomena in Very Dense Sticky Particle Fluids