title: Dynamical density functional theory for colloidal dispersions including hydrodynamic interactions.
abstract: A dynamical density functional theory (DDFT) for translational Brownian dynamics is derived which includes hydrodynamic interactions. The theory reduces to the simple Brownian DDFT proposed by Marconi and Tarazona (U. Marini Bettolo Marconi and P. Tarazona, J. Chem. Phys. 110, 8032 (1999); J. Phys.: Condens. Matter 12, A413 (2000)) when hydrodynamic interactions are neglected. The derivation is based on Smoluchowski's equation for the time evolution of the probability density with pairwise hydrodynamic interactions. The theory is applied to hard-sphere colloids in an oscillating spherical optical trap which switches periodically in time from a stable confining to an unstable potential. Rosenfeld's fundamental measure theory for the equilibrium density functional is used and hydrodynamics are incorporated on the Rotne-Prager level. The results for the time-dependent density profiles are compared to extensive Brownian dynamics simulations which are performed on the same Rotne-Prager level and excellent agreement is obtained. It is further found that hydrodynamic interactions damp and slow the dynamics of the confined colloid cluster in comparison to the same situation with neglected hydrodynamic interactions.
authors.affiliation: Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany. rexm@thphy.uni-duesseldorf.de
authors.forename: M
authors.initials: M
authors.lastname: Rex
authors.forename: H
authors.initials: H
authors.lastname: Löwen
references.citation: Phys Rev Lett. 1989 Aug 28;63(9):980-983
references.pmid: 10041238
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1995 May;51(5):R3815-R3818
references.pmid: 9963248
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Apr;63(4 Pt 1):041403
references.pmid: 11308839
references.citation: Phys Rev Lett. 2005 May 13;94(18):183001
references.pmid: 15904365
references.citation: Phys Rev Lett. 1985 Aug 19;55(8):833-836
references.pmid: 10032459
references.citation: J Chem Phys. 2005 Jul 8;123(2):24501
references.pmid: 16050753
references.citation: Phys Rev Lett. 2007 May 4;98(18):188304
references.pmid: 17501616
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Apr;53(4):3456-3467
references.pmid: 9964656
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jun;59(6):6824-9
references.pmid: 11969670
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 1):061407
references.pmid: 14754204
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Aug;72(2 Pt 1):021404
references.pmid: 16196562
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3 Pt 1):031206
references.pmid: 11308641
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 1):051402
references.pmid: 17677060
references.citation: J Chem Phys. 2004 Sep 1;121(9):4246-54
references.pmid: 15332972