Dynamical density functional theory for the diffusion of injected Brownian particles
arXiv:1409.2505 · doi:10.1140/epjst/e2014-02322-8
Abstract
While the theory of diffusion of a single Brownian particle in confined geometries is well-established by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly interacting Brownian particles. Dynamical density functional theory (DDFT) for classical Brownian particles represents an ideal tool for this purpose. After outlining the basic ingredients to DDFT we show that it can be readily applied to flowing suspensions with time-dependent particle sources. Particle interactions lead to considerable layering in the mean density profiles, a feature that is absent in the trivial case of noninteracting, freely diffusing particles. If the particle injection rate varies periodically in time with a suitable frequency, a resonance in the layering of the mean particle density profile is predicted.
References in corpus (43)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Meso-scale turbulence in living fluids
- Modeling Elasticity in Crystal Growth
- Dynamic clustering in active colloidal suspensions with chemical signaling
- Circular motion of asymmetric self-propelling particles
- Dynamical density functional theory and its application to spinodal decomposition
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
- Microscopic theory for the phase separation of self-propelled repulsive disks
- Self-propelled Janus particles in a ratchet: Numerical simulations
- Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
- Dynamics of a Brownian circle swimmer
- Crystallization in a dense suspension of self-propelled particles
- Hydrodynamic capture of microswimmers into sphere-bound orbits
- Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
- Aggregation of self-propelled colloidal rods near confining walls
- Single-File Diffusion of Atomic and Colloidal Systems: Asymptotic Laws
- Active colloidal suspensions exhibit polar order under gravity
- Non-Gaussian statistics for the motion of self-propelled Janus particles: experiment versus theory
- Traveling and resting crystals in active systems
- Dynamical density functional theory with hydrodynamic interactions and colloids in unstable traps
- Colloidal crystal growth at externally imposed nucleation clusters
- Dynamical density functional theory for colloidal particles with arbitrary shape
- Dynamics in inhomogeneous liquids and glasses via the test particle limit
- Chemotactic predator-prey dynamics
- Facilitated diffusion on mobile DNA: configurational traps and sequence heterogeneity
- Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory
- Phase-field-crystal model for liquid crystals
- Simulation-based equation of state of the hard disk fluid and prediction of higher-order virial coefficients
- Fluids in Extreme Confinement
- Dynamics of a microorganism moving by chemotaxis in its own secretion
- Structure of hard-hypersphere fluids in odd dimensions
- Self Trapping of a Single Bacterium in its Own Chemoattractant
- Solution of the Percus-Yevick equation for hard hyperspheres in even dimensions
- Extended dynamical density functional theory for colloidal mixtures with temperature gradients
- Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions
- Microscopic and macroscopic theories for the dynamics of polar liquid crystals
- Compatibility waves drive crystal growth on patterned substrates
- Feedback-controlled transport in an interacting colloidal system
- Density Functional approach to Nonlinear Rheology
- Phase separation dynamics in a two-dimensional magnetic mixture
- Stable and metastable hard sphere crystals in Fundamental Measure Theory