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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

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

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

Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously…

软凝聚态物质 · 物理学 2014-10-15 Andrea Fortini , Daniel de las Heras , Joseph M. Brader , Matthias Schmidt

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

Classical density functional theory (cDFT) and dynamical density functional theory (DDFT) are modern statistical mechanical theories for modeling many-body colloidal systems at the one-body density level. The theories hinge on knowing the…

When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the many-body system. This mapping from a…

数学物理 · 物理学 2025-03-20 Michael Andreas Klatt , Christian Bair , Hartmut Löwen , René Wittmann

We present dynamic density functional theory (DDFT) incorporating general inhomogeneous, incompressible, time dependent background flows and inertia, describing externally driven passive colloidal systems out of equilibrium. We start by…

软凝聚态物质 · 物理学 2024-09-11 Rory D. Mills-Williams , Benjamin D. Goddard , Andrew J. Archer

Odd diffusion breaks time-reversal symmetry in overdamped systems through transverse probability currents while preserving equilibrium steady states. In this work, we develop a dynamical density functional theory (DDFT) for dense…

软凝聚态物质 · 物理学 2026-02-02 Iman Abdoli , René Wittmann , Hartmut Löwen

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

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

Using dynamical density functional theory (DDFT), we theoretically study Brownian self-diffusion and structural relaxation of hard disks and compare to experimental results on quasi two-dimensional colloidal hard spheres. To this end, we…

软凝聚态物质 · 物理学 2018-04-04 Daniel Stopper , Alice Thorneywork , Roel Dullens , Roland Roth

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…

软凝聚态物质 · 物理学 2016-05-25 Daniel de las Heras , Joseph M. Brader , Andrea Fortini , Matthias Schmidt

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

In recent years, a number of dynamical density functional theories (DDFTs) have been developed for describing the dynamics of the one-body density of both colloidal and atomic fluids. In the colloidal case, the particles are assumed to have…

软凝聚态物质 · 物理学 2009-08-10 A. J. Archer

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

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

Using Brownian dynamics computer simulations we investigate the dynamics of the one-body density and one-body current in a one-dimensional system of particles that interact with a repulsive Gaussian pair potential. We systematically split…

软凝聚态物质 · 物理学 2016-08-05 Elias Bernreuther , Matthias Schmidt

Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern statistical mechanics. It is an extension of the highly successful method of classical density functional theory (DFT) to nonequilibrium systems.…

软凝聚态物质 · 物理学 2020-12-29 Michael te Vrugt , Hartmut Löwen , Raphael Wittkowski

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
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