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The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

Condensed Matter · Physics 2007-05-23 Sandro Stringari

Density functional theory (DFT) is an incredible success story. The low computational cost, combined with useful (but not yet chemical) accuracy, has made DFT a standard technique in most branches of chemistry and materials science.…

Chemical Physics · Physics 2015-06-03 Kieron Burke

The glass transition of a hard sphere system is investigated within the framework of the density functional theory (DFT). Molecular dynamics (MD) simulations are performed to study dynamical behavior of the system on the one hand and to…

Soft Condensed Matter · Physics 2007-05-23 Kang Kim , Toyonori Munakata

Classical density-functional theory provides an efficient alternative to molecular dynamics simulations for understanding the equilibrium properties of inhomogeneous fluids. However, application of density-functional theory to multi-site…

Computational Physics · Physics 2014-02-14 Ravishankar Sundararaman , T. A. Arias

We develop a classical density functional theory (DFT) for two site associating fluids in spatially uniform external fields which exhibit orientational inhomogeneities. The Helmholtz free energy functional is obtain using Wertheim's…

Soft Condensed Matter · Physics 2015-06-17 B. D. Marshall , W. G. Chapman , M. M. Telo da Gama

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…

Soft Condensed Matter · Physics 2026-02-02 Iman Abdoli , René Wittmann , Hartmut Löwen

Dynamical density functional theory (DDFT) is a powerful variational framework to study the nonequilibrium properties of colloids by only considering a time-dependent one-body number density. Despite the large number of recent successes,…

Soft Condensed Matter · Physics 2021-01-13 René Wittmann , Hartmut Löwen , Joseph M. Brader

Classical dynamical density functional theory (DDFT) has become one of the central modeling approaches in nonequilibrium soft matter physics. Recent years have seen the emergence of novel and interesting fields of application for DDFT. In…

Soft Condensed Matter · Physics 2023-03-21 Michael te Vrugt , Raphael Wittkowski

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…

Soft Condensed Matter · Physics 2024-09-11 Rory D. Mills-Williams , Benjamin D. Goddard , 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

Recent experiments have shown that the striking structure formation in dewetting films of evaporating colloidal nanoparticle suspensions occurs in an ultrathin `postcursor' layer that is left behind by a mesoscopic dewetting front. Various…

Soft Condensed Matter · Physics 2010-02-04 A. J. Archer , M. J. Robbins , U. Thiele

Classical density functional theory (DFT) is a powerful framework to study inhomogeneous fluids. Its standard form is based on the knowledge of a generating free energy functional. If this is known exactly, then the results obtained by…

Soft Condensed Matter · Physics 2025-05-02 S. M. Tschopp , H. Vahid , A. Sharma , J. M. Brader

The dynamical properties of classical fluids at pico-liter scale attract experimentally and theoretically much attention in the soft-matter and biophysics communities, due to the appearance of the microfluidics, also called 'lab-on-a-chip',…

Statistical Mechanics · Physics 2007-05-23 F. Penna , P. Tarazona

A formulation of the density functional theory is constructed on the foundations of entropic inference. The theory is introduced as an application of maximum entropy for inhomogeneous fluids in thermal equilibrium. It is shown that entropic…

Statistical Mechanics · Physics 2023-12-29 Ahmad Yousefi , Ariel Caticha

We consider a system of particles interacting via a purely repulsive, soft-core potential recently introduced to model effective pair interactions between dendrimers, which is expected to lead to the formation of crystals with multiple…

Soft Condensed Matter · Physics 2015-05-11 Davide Pini

Nuclear density functional theory (DFT) is the only microscopic, global approach to the structure of atomic nuclei. It is used in numerous applications, from determining the limits of stability to gaining a deep understanding of the…

Nuclear Theory · Physics 2015-02-06 Nicolas Schunck , Jordan D. McDonnell , Jason Sarich , Stefan M. Wild , Dave Higdon

Recent experiments have shown that various structures may be formed during the evaporative dewetting of thin films of colloidal suspensions. Nano-particle deposits of strongly branched `flower-like', labyrinthine and network structures are…

Soft Condensed Matter · Physics 2011-10-03 M. J. Robbins , A. J. Archer , U. Thiele

We examine statics and dynamics of phase-separated states of dilute binary mixtures using density functional theory. In our systems, the difference in the salvation chemical potential $\Delta\mu_s$ between liquid and gas is considerably…

Soft Condensed Matter · Physics 2016-05-13 Ryuichi Okamoto , Akira Onuki

Using dynamical density functional theory (DDFT) methods we investigate the laning instability of a sheared colloidal suspension. The nonequilibrium ordering at the laning transition is driven by non-affine particle motion arising from…

Soft Condensed Matter · Physics 2018-01-03 Alberto Scacchi , Andrew J. Archer , Joseph M. Brader

Orbital-free density functional theory (OF-DFT) provides an alternative approach for calculating the molecular electronic energy, relying solely on the electron density. In OF-DFT, both the ground-state density is optimized variationally to…

Chemical Physics · Physics 2023-11-23 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández