DDFT for Brownian particles and hydrodynamics

Classical dynamic density functional theory (DDFT) has developed into a versatile tool for describing the dynamics of overdamped Brownian particles. The underlying equilibrium density functional is a quantitative model for colloidal suspensions. Non-equilibrium properties of these systems are strongly influenced by the solvent hydrodynamics. In this paper we discuss ways to introduce certain aspects of solvent hydrodynamics into the DDFT, in particular advection by a flowing solvent and hydrodynamic interactions among suspended particles as well as with container walls.