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In the last 50 years, equilibrium density functional theory (DFT) has been proven to be a powerful, versatile and predictive approach for the statics and structure of classical particles. This theory can be extended to the nonequilibrium…

Soft Condensed Matter · Physics 2021-02-26 Hartmut Löwen

The flow-driven transport of interacting micron-sized particles occurs in many soft matter systems spanning from the translocation of proteins to moving emulsions in microfluidic devices. Here we combine experiments and theory to…

Soft Condensed Matter · Physics 2022-11-16 Dominik Lips , Eric Cereceda-López , Antonio Ortiz-Ambriz , Pietro Tierno , Artem Ryabov , Philipp Maass

Using a dynamical density functional theory we analyze the density profile of a colloidal liquid near a wall under shear flow. Due to the symmetries of the system considered, the naive application of dynamical density functional theory does…

Soft Condensed Matter · Physics 2015-05-20 J. M. Brader , M. Krüger

We present the exact adiabatic theory for the dynamics of the inhomogeneous density distribution of a classical fluid. Erroneous particle number fluctuations of dynamical density functional theory are absent, both for canonical and grand…

Soft Condensed Matter · Physics 2016-05-25 Daniel de las Heras , Joseph M. Brader , Andrea Fortini , Matthias Schmidt

We present a dynamic density functional theory (dDFT) which takes into accou nt the advection of the particles by a flowing solvent. For potential flows we can use the same closure as in the absence of solvent flow. The structure of the…

Soft Condensed Matter · Physics 2009-11-13 Markus Rauscher , Alvaro Dominguez , Matthias Krueger , Florencia Penna

Colloidal particles moving in a fluid interact via the induced velocity field. The collective dynamic state for a class of actively forced colloids, driven by harmonic potentials via a rule that couples forces to configurations, to perform…

Soft Condensed Matter · Physics 2011-10-11 Loïc Damet , Giovanni M. Cicuta , Jurij Kotar , Marco Cosentino Lagomarsino , Pietro Cicuta

In this article we derive and test the fluctuating hydrodynamic description of active particles interacting via taxis and quorum sensing, both for mono-disperse systems and for mixtures of co-existing species of active particles. We compute…

Statistical Mechanics · Physics 2025-01-14 Alberto Dinelli , Jérémy O'Byrne , Julien Tailleur

We report computer simulation results on the cluster formation of dipolar colloidal particles driven by a rotating external field in a quasi-two-dimensional setup. We focus on the interplay between permanent dipolar and hydrodynamic…

Soft Condensed Matter · Physics 2015-06-12 Sebastian Jäger , Holger Stark , Sabine H. L. Klapp

We present dynamical density functional theory results for the time evolution of the density distribution of a sedimenting model two-dimensional binary mixture of colloids. The interplay between the bulk phase behaviour of the mixture, its…

Soft Condensed Matter · Physics 2015-06-17 Alexandr Malijevsky , Andrew J. Archer

Classical density functional theory (DFT) provides an exact variational framework for determining the equilibrium properties of inhomogeneous fluids. We report a generalization of DFT to treat the non-equilibrium dynamics of classical…

Soft Condensed Matter · Physics 2013-09-06 Matthias Schmidt , Joseph M. Brader

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

Soft Condensed Matter · Physics 2017-02-03 René Wittmann , Joseph M. Brader

We consider mixtures of two species of spherical colloidal particles that differ in their hydrodynamic radii, but are otherwise identical, in the presence of an external field. Since the particle-particle and particle-field interactions are…

Soft Condensed Matter · Physics 2018-09-26 André S. Nunes , Akshat Gupta , Nuno A. M. Araújo , Margarida M. Telo da Gama

We show that one may view the self and the distinct part of the van Hove dynamic correlation function of a simple fluid as the one-body density distributions of a binary mixture that evolve in time according to dynamical density functional…

Soft Condensed Matter · Physics 2011-11-09 Andrew J. Archer , Paul Hopkins , Matthias Schmidt

We present an alternative derivation of the dynamical density functional theory for the one body density profile of a classical fluid developed by Marconi and Tarazona [J. Chem. Phys., 110, 8032 (1999)]. Our derivation elucidates further…

Statistical Mechanics · Physics 2007-05-23 A. J. Archer , R. Evans

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is hardly found in reality, and shape-asymmetric…

Statistical Mechanics · Physics 2018-07-18 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

We study the motion of active patchy colloids in an optical trap using experiments, theory and numerical simulations. To achieve isotropic and harmonic confinement, we prototype microparticles with a nearly uniform refractive index and…

Soft Condensed Matter · Physics 2022-11-23 Ivo Buttinoni , Lorenzo Caprini , Laura Alvarez , Fabian Jan Schwarzendahl , Hartmut Löwen

We aim to clarify confusions in the literature as to whether or not dynamical density functional theories for the one-body density of a classical Brownian fluid should contain a stochastic noise term. We point out that a stochastic as well…

Statistical Mechanics · Physics 2007-05-23 Andrew J. Archer , Markus Rauscher

The rotational Brownian motion of colloidal spheres in dense suspensions reflects local hydrodynamics and friction, both key to non-linear rheological phenomena such as shear-thickening and jamming, and transport in crowded environments,…

Soft Condensed Matter · Physics 2021-06-23 Taiki Yanagishima , Yanyan Liu , Hajime Tanaka , Roel Dullens

In this article we examine the dynamics of a colloidal particle driven by a modulated force over a sinusoidal optical potential energy landscape. Coupling between the competing frequencies of the modulated drive and that of particle motion…