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The Dean-Kawasaki (DK) equation, which is at the basis of stochastic density functional theory (SDFT), was proposed in the mid-nineties to describe the evolution of the density of interacting Brownian particles, which can represent a large…

软凝聚态物质 · 物理学 2025-05-13 Pierre Illien

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

统计力学 · 物理学 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

We present an approach for computing long-range van der Waals (vdW) interactions between complex molecular systems and arbitrarily shaped macroscopic bodies, melding atomistic treatments of electronic fluctuations based on density…

介观与纳米尺度物理 · 物理学 2017-07-05 Prashanth S. Venkataram , Jan Hermann , Alexandre Tkatchenko , Alejandro W. Rodriguez

Accurate and efficient theoretical techniques for describing ionic fluids are highly desirable for many applications across the physical, biological and materials sciences. With a rigorous statistical mechanical foundation, classical…

统计力学 · 物理学 2025-04-14 Anna T. Bui , Stephen J. Cox

We establish the global well-posedness of overdamped dynamic density functional theory (DDFT): a nonlinear, nonlocal integro-partial differential equation used in statistical mechanical models of colloidal fluids, and other applications…

偏微分方程分析 · 数学 2021-09-15 B. D. Goddard , R. D. Mills-Williams , M. Ottobre , G. Pavliotis

We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study…

化学物理 · 物理学 2015-06-26 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

As a first step to meet the challenge to calculate the electronic structure and total energy of charged states of atoms and molecules adsorbed on ultrathin-insulating films supported by a metallic substrate using density functional theory…

材料科学 · 物理学 2013-11-01 Iván Scivetti , Mats Persson

A real-space representation of the current response of many-electron systems with possible applications to x-ray nonlinear spectroscopy and magnetic susceptibilities is developed. Closed expressions for the linear, quadratic and third-order…

强关联电子 · 物理学 2009-11-10 Oleg Berman , Shaul Mukamel

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

The response of ionic solutions to time-varying electric fields, quantified by a frequency-dependent conductivity, is essential in many electrochemical applications. Yet, it constitutes a challenging problem due to the combined effect of…

软凝聚态物质 · 物理学 2026-04-15 Haggai Bonneau , Yael Avni , David Andelman , Henri Orland

We present a new scheme to include the van der Waals (vdW) interactions in approximated Density Functional Theory (DFT) by combining the Quantum Harmonic Oscillator model with the Maximally Localized Wannier Function technique. With respect…

材料科学 · 物理学 2015-06-16 Pier Luigi Silvestrelli

The structure of dilute electrolyte solutions close to a surface carrying a spatially inhomogeneous surface charge distribution is investigated by means of classical density functional theory (DFT) within the approach of fundamental measure…

软凝聚态物质 · 物理学 2020-06-23 Maximilian Mußotter , Markus Bier , S. Dietrich

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

介观与纳米尺度物理 · 物理学 2012-08-28 Tim Gould , John F. Dobson

We propose a nonadiabatic time-dependent spin-density functional theory (TDSDFT) approach for studying the single-electron excited states and the ultrafast response of systems with strong electron correlations. The correlations are…

强关联电子 · 物理学 2013-11-27 Volodymyr Turkowski , Talat S. Rahman

We apply a range of density-functional-theory-based methods capable of describing van der Waals interactions to weakly bonded layered solids in order to investigate their accuracy for extended systems. The methods under investigation are…

材料科学 · 物理学 2012-10-05 T. Björkman , A. Gulans , A. V. Krasheninnikov , R. M. Nieminen

We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

超导电性 · 物理学 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

The van Leeuwen proof of linear-response time-dependent density functional theory (TDDFT) is generalized to thermal ensembles. This allows generalization to finite temperatures of the Gross-Kohn relation, the exchange-correlation kernel of…

化学物理 · 物理学 2016-06-15 Aurora Pribram-Jones , Paul E. Grabowski , Kieron Burke

Nanoscale optoelectronics and molecular-electronics systems operate with current injection and nonequilibrium tunneling, phenomena that challenge consistent descriptions of the steady-state transport. The current affects the…

其他凝聚态物理 · 物理学 2009-11-13 Per Hyldgaard

To understand sparse systems we must account for both strong local atom bonds and weak nonlocal van der Waals forces between atoms separated by empty space. A fully nonlocal functional form [H. Rydberg, B.I. Lundqvist, D.C. Langreth, and M.…

We investigate the coupled dynamics of concentration and charge in asymmetric 1:1 electrolytes, focusing on the interplay between diffusion asymmetry and external electric fields. Using Brownian dynamics simulations and linearized…

软凝聚态物质 · 物理学 2026-01-22 Thê Hoang Ngoc Minh , Sleeba Varghese , Benjamin Rotenberg