Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions
Abstract
Over the last few decades, classical density-functional theory (DFT) and its dynamic extensions (DDFTs) have become powerful tools in the study of colloidal fluids. Recently, previous DDFTs for spherically-symmetric particles have been generalised to take into account both inertia and hydrodynamic interactions, two effects which strongly influence non-equilibrium properties. The present work further generalises this framework to systems of anisotropic particles. Starting from the Liouville equation and utilising Zwanzig's projection-operator techniques, we derive the kinetic equation for the Brownian particle distribution function, and by averaging over all but one particle, a DDFT equation is obtained. Whilst this equation has some similarities with DDFTs for spherically-symmetric colloids, it involves a translational-rotational coupling which affects the diffusivity of the (asymmetric) particles. We further show that, in the overdamped (high friction) limit, the DDFT is considerably simplified and is in agreement with a previous DDFT for colloids with arbitrary shape particles.
Cite
@article{arxiv.1607.02372,
title = {Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions},
author = {Miguel A. Durán-Olivencia and Benjamin D. Goddard and Serafim Kalliadasis},
journal= {arXiv preprint arXiv:1607.02372},
year = {2016}
}
Comments
dynamical density functional theory ; colloidal fluids ; arbitrary-shape particles ; orientable colloids