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We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

Materials Science · Physics 2009-11-10 Roi Baer , Daniel Neuhauser

Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not…

Nuclear Theory · Physics 2025-06-06 Udita Shukla , Pok Man Lo

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

Although the classical density functional theory (DFT) of inhomogeneous fluids was formulated more than four decades ago, its application to broken symmetry phases of molecular systems remained a challenge. Approximate free energy…

Statistical Mechanics · Physics 2026-05-19 Yashwant Singh

While methods based on density-functional perturbation theory have dramatically improved our understanding of electron-phonon contributions to transport in materials, methods for accurately capturing electron-electron scattering relevant to…

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

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…

Soft Condensed Matter · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

Various ways to analyze the dynamical response of clusters and molecules to electromagnetic perturbations exist. Particularly rich information can be obtained from measuring the properties of electrons emitted in the course of the…

Atomic and Molecular Clusters · Physics 2015-06-11 P. Wopperer , P. M. Dinh , P. -G. Reinhard , E. Suraud

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

We develop a method in which the electronic densities of small fragments determined by Kohn-Sham density functional theory (DFT) are embedded using stochastic DFT to form the exact density of the full system. The new method preserves the…

Chemical Physics · Physics 2015-06-19 Daniel Neuhauser , Roi Baer , Eran Rabani

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

Soft Condensed Matter · Physics 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

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

A system of soft ellipsoid molecules confined between two planar walls is studied using classical Density Functional Theory (DFT). Both the isotropic and nematic phases are considered. The excess free energy is evaluated using two different…

Materials Science · Physics 2009-11-10 David Cheung , Friederike Schmid

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…

Soft Condensed Matter · Physics 2014-12-18 H. Löwen , M. Heinen

We introduce a novel density-based multilevel approach in density functional theory. In this multilevel density functional theory (MLDFT), the system is partitioned in an active and an inactive fragment, and all interactions are retained…

We study the electric double layer near a charged soft surface by using a mean-field approach including non-uniform size effect and solvent polarization. Based on a free energy model, electrostatic potential and number densities of water…

Soft Condensed Matter · Physics 2022-02-10 Jun-Sik Sin , Nam-Hyok Kim , Chung-Sik Sin

Optical spectroscopy, X-ray diffraction measurements, density functional theory (DFT) and density functional theory + embedded dynamical mean field theory (DFT+eDMFT) have been used to characterize structural and electronic properties of…

Strongly Correlated Electrons · Physics 2020-09-23 T. N. Stanislavchuk , G. L. Pascut , A. P. Litvinchuk , Z. Liu , S. Choi , M. J. Gutmann , B. Gao , K. Haule , V. Kiryukhin , S. -W. Cheong , A. A. Sirenko

This paper gives a summary of basic concepts of density-functional theory (DFT) and its use in state-of-the-art computations of complex processes in condensed matter physics and materials science. In particular we discuss how microscopic…

Materials Science · Physics 2008-02-03 C. Ratsch , P. Ruggerone , M. Scheffler

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…

Analysis of PDEs · Mathematics 2021-09-15 B. D. Goddard , R. D. Mills-Williams , M. Ottobre , G. Pavliotis
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