Generalized dynamical density functional theory for classical fluids and the significance of inertia and hydrodynamic interactions
Statistical Mechanics
2012-09-24 v2 Soft Condensed Matter
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1202.3270,
title = {Generalized dynamical density functional theory for classical fluids and the significance of inertia and hydrodynamic interactions},
author = {Benjamin D. Goddard and Andreas Nold and Nikos Savva and Grigorios A. Pavliotis and Serafim Kalliadasis},
journal= {arXiv preprint arXiv:1202.3270},
year = {2012}
}
Comments
5 pages, 4 figures, 4 supplementary movie files, I supplementary pdf