Generalized dynamical density functional theory for classical fluids and the significance of inertia and hydrodynamic interactions

Abstract

We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the non-equilibrium properties of the system. We derive a general dynamical density functional theory (DDFT) which shows very good agreement with full Langevin dynamics. In suitable limits, we recover existing DDFTs and a Navier-Stokes-like equation with additional non-local terms.

5 pages, 4 figures, 4 supplementary movie files, I supplementary pdf

References in corpus (2)

• Hydrodynamic interactions and Brownian forces in colloidal suspensions: Coarse-graining over time and length-scales
• Dynamical density functional theory for molecular and colloidal fluids: a microscopic approach to fluid mechanics

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