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

Benjamin D. Goddard, Andreas Nold, Nikos Savva, Grigorios A. Pavliotis, Serafim Kalliadasis

Published 2012-02-15, updated 2012-08-08Version 2

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.