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We describe a test particle approach based on dynamical density functional theory (DDFT) for studying the correlated time evolution of the particles that constitute a fluid. Our theory provides a means of calculating the van Hove…

软凝聚态物质 · 物理学 2011-03-17 Paul Hopkins , Andrea Fortini , Andrew Archer , Matthias Schmidt

We study the dynamics of colloidal suspensions of hard spheres that are subject to Brownian motion in the overdamped limit. We obtain the time evolution of the self and distinct parts of the van Hove function by means of dynamical density…

软凝聚态物质 · 物理学 2018-01-16 Daniel Stopper , Kevin Marolt , Hendrik Hansen-Goos , Roland Roth

We study the dynamical decay of the van Hove function of Brownian hard spheres using event-driven Brownian dynamics simulations and dynamic test particle theory. Relevant decays mechanisms include deconfinement of the self particle, decay…

软凝聚态物质 · 物理学 2022-04-20 Lucas L. Treffenstädt , Thomas Schindler , Matthias Schmidt

We study structural relaxation of colloidal hard spheres undergoing Brownian motion using dynamical density functional theory. Contrary to the partial linearization route [Stopper {\em et al.}, Phys. Rev. E {\bf 92}, 022151 (2015)] which…

软凝聚态物质 · 物理学 2018-01-16 Daniel Stopper , Roland Roth , Hendrik Hansen-Goos

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…

统计力学 · 物理学 2016-08-02 Miguel A. Durán-Olivencia , Benjamin D. Goddard , Serafim Kalliadasis

Superadiabatic dynamical density functional theory (superadiabatic-DDFT), a first-principles approach based on the inhomogeneous two-body correlation functions, is employed to investigate the response of interacting Brownian particles to…

软凝聚态物质 · 物理学 2023-06-23 S. M. Tschopp , H. D. Vuijk , J. M. Brader

While the theory of diffusion of a single Brownian particle in confined geometries is well-established by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly…

软凝聚态物质 · 物理学 2014-12-18 H. Löwen , M. Heinen

For classical many-body systems subject to Brownian dynamics we develop a superadiabatic dynamical density functional theory (DDFT) for the description of inhomogeneous fluids out-of-equilibrium. By explicitly incorporating the dynamics of…

软凝聚态物质 · 物理学 2022-12-20 S. M. Tschopp , J. M. Brader

Dynamic density functional theory (DDFT) is a promising approach for predicting the structural evolution of a drying suspension containing one or more types of colloidal particles. The assumed free-energy functional is a key component of…

软凝聚态物质 · 物理学 2022-11-23 Mayukh Kundu , Michael P. Howard

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…

软凝聚态物质 · 物理学 2009-11-13 Markus Rauscher , Alvaro Dominguez , Matthias Krueger , Florencia Penna

In the past decade, classical dynamical density functional theory (DDFT) has been developed and widely applied to the Brownian dynamics of interacting colloidal particles. One of the possible derivation routes of DDFT from the microscopic…

软凝聚态物质 · 物理学 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

We employ Reactive Dynamical Density Functional Theory (R-DDFT) and Reactive Brownian Dynamics (R-BD) simulations to investigate the dynamics of a suspension of active soft Gaussian colloids with binary interaction switching, i.e., a…

软凝聚态物质 · 物理学 2022-07-29 Michael Bley , Pablo I. Hurtado , Joachim Dzubiella , Arturo Moncho-Jordá

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…

软凝聚态物质 · 物理学 2021-02-26 Hartmut Löwen

The superadiabatic dynamical density functional theory (superadiabatic-DDFT) is a promising new method for the study of colloidal systems out-of-equilibrium. Within this approach the viscous forces arising from interparticle interactions…

软凝聚态物质 · 物理学 2024-06-10 S. M. Tschopp , J. M. Brader

A fundamental assumption of the dynamical density functional theory (DDFT) of colloidal systems is that a grand-canonical free energy functional may be employed to generate the thermodynamic driving forces. Using one-dimensional hard-rods…

软凝聚态物质 · 物理学 2013-06-04 Johannes Reinhardt , Joseph Michael Brader

We reexamine results obtained with the recently proposed density functional theory framework based on forces (force-DFT) [Tschopp et al., Phys. Rev. E 106, 014115 (2022)]. We compare inhomogeneous density profiles for hard sphere fluids to…

软凝聚态物质 · 物理学 2024-02-28 Florian Sammüller , Sophie Hermann , Matthias Schmidt

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…

软凝聚态物质 · 物理学 2013-09-06 Matthias Schmidt , Joseph M. Brader

Colloidal particles that are confined to an interface effectively form a two-dimensional fluid. We examine the dynamics of such colloids when they are subject to a constant external force, which drives them in a particular direction over…

软凝聚态物质 · 物理学 2011-06-24 Andrew J. Archer , Alexandr Malijevsky

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)…

Dynamic density functionals (DDFs) are popular tools for studying the dynamical evolution of inhomogeneous polymer systems. Here, we present a systematic evaluation of a set of diffusive DDF theories by comparing their predictions with data…

软凝聚态物质 · 物理学 2018-02-07 Shuanhu Qi , Friederike Schmid
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