Mean-field microrheology of a very soft colloidal suspension: inertia induces shear-thickening
arXiv:1503.00988 · doi:10.1103/PhysRevE.91.062301
Abstract
Colloidal suspensions have a rich rheology and can exhibit shear-thinning as well as shear-thickening. Numerical simulations recently suggested that shear-thickening may be attributed to the inertia of the colloids, besides the hydrodynamic interactions between them. Here, we consider the ideal limit of a dense bath of soft colloids following an underdamped Langevin dynamics. We use a mean-field equation for the colloidal density to get an analytical expression of the drag force felt by a probe pulled at constant velocity through the suspension. Our results show that inertia can indeed induce shear-thickening by allowing density waves to propagate through the suspension.
arXiv comment13 pages, 6 figures
References in corpus (21)
- Shear thickening in concentrated suspensions: phenomenology, mechanisms, and relations to jamming
- Discontinuous shear thickening without inertia in dense non-Brownian suspensions
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Mean Field Fluid Behavior of the Gaussian Core Model
- Transition from viscous to inertial regime in dense suspensions
- Unified study of glass and jamming rheology in soft particle systems
- A dynamic jamming point for shear thickening suspensions
- Forced motion of a probe particle near the colloidal glass transition
- Active and Nonlinear Microrheology in Dense Colloidal Suspensions
- Macroscopic Discontinuous Shear Thickening vs Local Shear Jamming in Cornstarch
- Increasing the density melts ultrasoft colloidal glasses
- Generalized Langevin equations for a driven tracer in dense soft colloids: construction and applications
- Drag forces in classical fields
- Thinning or thickening? Multiple rheological regimes in dense suspensions of soft particles
- Schematic Models for Active Nonlinear Microrheology
- Nonlinear microrheology of dense colloidal suspensions: a mode-coupling theory
- Derivation of the nonlinear fluctuating hydrodynamic equation from underdamped Langevin equation
- Coarse-grained forms for equations describing the microscopic motion of particles in a fluid
- Thermodynamics and Structural Properties of the High Density Gaussian Core Model
- Fluctuations and correlations of a driven tracer in a hard-core lattice gas
- Self diffusion in a system of interacting Langevin particles
Cited by in corpus (12)
- Statistical Mechanics of Active Ornstein Uhlenbeck Particles
- Universal Long Ranged Correlations in Driven Binary Mixtures
- How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
- Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
- Time-Dependent Fluctuations and Superdiffusivity in the Driven Lattice Lorentz Gas
- Nonequilibrium fluctuations and enhanced diffusion of a driven particle in a dense environment
- Diffusion of a tracer in a dense mixture of soft particles connected to different thermostats
- Stochastic density functional theory for ions in a polar solvent
- Distribution of the position of a driven tracer in a hardcore lattice gas
- Time-dependent active microrheology in dilute colloidal suspensions
- Mass changes the diffusion coefficient of particles with ligand-receptor contacts in the overdamped limit
- Time-dependent perpendicular fluctuations in the driven lattice Lorentz gas