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The density functional theory originally developed by Hohenberg, Kohn and Sham provides a rigorous conceptual framework for dealing with inhomogeneous interacting Fermi systems. We extend this approach to deal with inhomogeneous interacting…

Condensed Matter · Physics 2015-06-25 A. Griffin

We investigate the non-equilibrium compression of a confined hard-sphere colloidal fluid driven by a mobile boundary within dynamical density functional theory. The system consists of a fluid confined between two parallel walls, one acting…

Soft Condensed Matter · Physics 2026-03-20 Arturo Moncho-Jordá , José López-Molina , Joachim Dzubiella

By means of classical density functional theory and its dynamical extension, we consider a colloidal fluid with spherically-symmetric competing interactions, which are well known to exhibit a rich bulk phase behavior. This includes complex…

Soft Condensed Matter · Physics 2018-06-11 Daniel Stopper , Roland Roth

We consider the steady state of an open system in which there is a flux of matter between two reservoirs at different chemical potentials. For a large system of size $N$, the probability of any macroscopic density profile $\rho(x)$ is…

Statistical Mechanics · Physics 2009-11-07 B. Derrida , J. L. Lebowitz , E. R. Speer

We argue in favour of developing a comprehensive dynamical theory for rationalizing, predicting, designing, and machine learning nonequilibrium phenomena that occur in soft matter. To give guidance for navigating the theoretical and…

Soft Condensed Matter · Physics 2024-02-28 Daniel de las Heras , Toni Zimmermann , Florian Sammüller , Sophie Hermann , Matthias Schmidt

In this work we investigate the dynamical properties of a mixture of mutually interacting spherical molecules of different masses and sizes. From an analysis of the microscopic laws governing the motion of the molecules we derive a set of…

Soft Condensed Matter · Physics 2011-02-15 Umberto Marini Bettolo Marconi

We develop a kinetic theory of Brownian particles with long and short range interactions. We consider both overdamped and inertial models. In the overdamped limit, the evolution of the spatial density is governed by the generalized mean…

Statistical Mechanics · Physics 2015-05-19 Pierre-Henri Chavanis

We characterize the dynamic non-equilibrium steady state behavior of active particles using density fluctuations in the system. We analyze the effective local density around a particle in the steady state and numerically calculate its mean,…

Statistical Mechanics · Physics 2025-04-22 Jayam Joshi , Pawan Kumar Mishra , Shradha Mishra

The dynamic behavior of a hard-sphere colloidal suspension was studied by X-ray Photon Correlation Spectroscopy and Small Angle X-ray Scattering over a wide range of particle volume fractions. The short-time mobility of the particles was…

Hard-sphere fluids confined between parallel plates a distance $D$ apart are studied for a wide range of packing fractions, including also the onset of crystallization, applying Monte Carlo simulation techniques and density functional…

Statistical Mechanics · Physics 2011-10-10 Debabrata Deb , Alexander Winkler , Mohammad Hossein Yamani , Martin Oettel , Peter Virnau , Kurt Binder

We present extensive Molecular Dynamics simulation results for the structure, static and dynamical response of a droplet of 1000 soft spheres carrying extended dipoles and confined to spherical cavities of radii $R=2.5$, 3, and 4 nm…

Soft Condensed Matter · Physics 2009-11-11 Ronald Blaak , Jean-Pierre Hansen

The nonlinear rheological properties of dense colloidal suspensions under steady shear are discussed within a first principles approach. It starts from the Smoluchowski equation of interacting Brownian particles in a given shear flow,…

Soft Condensed Matter · Physics 2008-10-15 Matthias Fuchs

Most classical work on the hydrodynamics of low-Reynolds-number swimming addresses deterministic locomotion in quiescent environments. Thermal fluctuations in fluids are known to lead to a Brownian loss of the swimming direction. As most…

Fluid Dynamics · Physics 2014-06-18 Mario Sandoval , Navaneeth K. M. , Ganesh Subramanian , Eric Lauga

Fluids in nanopores are of importance for many engineering applications, including energy storage in supercapacitors, hydrocarbons recovery from unconventional sources, or water desalination. Thermodynamic properties of fluids confined in…

Chemical Physics · Physics 2026-02-25 Gennady Y. Gor , Geordy Jomon , Andrei L. Kolesnikov

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.…

Soft Condensed Matter · Physics 2020-12-29 Michael te Vrugt , Hartmut Löwen , Raphael Wittkowski

The dynamics of a many-body system coupled to an external environment represents a fundamentally important problem. To this class of open quantum systems pertains the study of energy transport and dissipation, dephasing, quantum measurement…

Strongly Correlated Electrons · Physics 2009-11-13 R. D'Agosta , M. Di Ventra

Density functional theory is used to study colloidal hard-rod fluids near an individual right-angled wedge or edge as well as near a hard wall which is periodically patterned with rectangular barriers. The Zwanzig model, in which the…

Soft Condensed Matter · Physics 2009-11-10 L. Harnau , F. Penna , S. Dietrich

The phenomenon of electrowetting, i.e., the dependence of the macroscopic contact angle of a fluid on the electrostatic potential of the substrate, is analyzed in terms of the density functional theory of wetting. It is shown that…

Soft Condensed Matter · Physics 2014-05-07 Markus Bier , Ingrid Ibagon

We present results for a density functional theory study of small water clusters and hexagonal ice Ih, using the van der Waals density functional (vdW-DF). In particular, we examine energetic, structural, and vibrational properties of these…

Soft Condensed Matter · Physics 2011-07-20 Brian Kolb , T. Thonhauser

In this paper, we report a Brownian dynamics simulation of the mobility-induced phase separation which occurs in a two-dimensional binary mixture of active soft Brownian particles, whose interactions are modeled by non-additive…

Soft Condensed Matter · Physics 2026-01-23 D. Jiménez-Flores , A. Rodríguez-Rivas , J. M. Romero-Enrique