Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions

Miguel A. Duran-Olivencia, Benjamin Goddard, Serafim Kalliadasis

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 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.
Original languageEnglish
Pages (from-to)785-809
Number of pages20
JournalJournal of Statistical Physics
Volume164
Issue number4
Early online date29 Jun 2016
DOIs
Publication statusPublished - 1 Aug 2016

Fingerprint

Dive into the research topics of 'Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions'. Together they form a unique fingerprint.

Cite this