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In this paper, we consider the quasi-gas-dynamic (QGD) model in a multiscale environment. The model equations can be regarded as a hyperbolic regularization and are derived from kinetic equations. So far, the research on QGD models has been…

数值分析 · 数学 2021-06-30 Boris Chetverushkin , Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

强关联电子 · 物理学 2010-07-15 I. V. Solovyev

The Quantum-Electrodynamical Time-Dependent Density Functional Theory (QED-TDDFT) equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid. Applications for molecules in cavities…

量子物理 · 物理学 2022-11-30 Justin Malave , Alexander Ahrens , Daniel Pitagora , Cody Covington , Kálmán Varga

We study the electronic structure of a spherical jellium in the presence of a central Gaussian impurity. We test how well the resulting inhomogeneity effects beyond spherical jellium are reproduced by several approximations of density…

材料科学 · 物理学 2015-05-20 Michal Bajdich , Paul R. C. Kent , Jeongnim Kim , Fernando A. Reboredo

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.…

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…

凝聚态物理 · 物理学 2007-05-23 Sandro Stringari

Density functional theory (DFT) is a widespread and effective tool in electronic structure calculations for ground-state electron systems. Its success has prompted exploration into the use of DFT for non-collective excited states. The delta…

化学物理 · 物理学 2025-08-12 Ethan Pollack , Rohan Maniar , John P. Perdew

Time-dependent density functional theory (TDDFT) is a standard approach for calculating optical excitations of molecules and solids, while ensemble DFT (EDFT) is a promising alternative under development. We introduce ensemble TDDFT…

化学物理 · 物理学 2026-05-22 Kimberly J. Daas , Steven Crisostomo , Kieron Burke

Coarse-grain Lagrangian methods, such as Dissipative Particle Dynamics ( Hoogerbrugge et al., EPL, 1992), are suitable for describing mesoscopic fluid systems that include thermal fluctuations. However, the realistic simulation of liquids…

软凝聚态物质 · 物理学 2026-03-13 Giuseppe Colella , Allan D. Mackie , James P. Larentzos , Fernando Bresme , Josep Bonet Avalos

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…

Smooth, highly accurate analytical representations of Fermi-Dirac (FD) integral combinations important in free-energy density functional calculations are presented. Specific forms include those that occur in the local density approximation…

计算物理 · 物理学 2015-04-21 Valentin V. Karasiev , Debajit Chakraborty , S. B. Trickey

In density functional theory (DFT), exact constraints, fundamental mathematical properties of the exchange-correlation (XC) energy and its underlying XC hole, along with paradigm systems such as the uniform electron gas and the hydrogen…

材料科学 · 物理学 2026-03-13 Yan Oueis , Akilan Ramasamy , James W. Furness , Jamin Kidd , Timo Lebeda , Jianwei Sun

The electron localization function (ELF) is a universal measure of electron localization that allows for, e.g., an effective characterization of physical bonds in molecular and solid state systems. In the context of the widely used…

强关联电子 · 物理学 2019-08-20 Alexander Lindmaa , Joel Davidsson , Ann E. Mattsson , Rickard Armiento

Orbital-free density functional theory (OFDFT) offers a challenging way of electronic-structure calculations scaled as $\mathcal{O}(N)$ computation for system size $N$. We here develop a scheme of the OFDFT calculations based on the…

计算物理 · 物理学 2021-09-06 Fumihiro Imoto , Masatoshi Imada , Atsushi Oshiyama

The sensitivity of computed DFT (Density Functional Theory) molecular properties (including energetics, geometries, vibrational frequencies, and infrared intensities) to the radial and angular numerical integration grid meshes, as well as…

化学物理 · 物理学 2012-08-27 Jan M. L. Martin , Charles W. Bauschlicher, , Alessandra Ricca

A combined density and first-order reduced-density-matrix (1RDM) functional method is proposed for the calculation of potential energy curves (PECs) of molecular multibond dissociation. Its 1RDM functional part, a pair density functional,…

化学物理 · 物理学 2020-09-23 Robert van Meer , Oleg Gritsenko , Jeng-Da Chai

Within the finite-field Kohn-Sham framework, static electric response properties of diatomic molecules are presented. The electronic energy, dipole moment ({\boldmath$\mu$}), static dipole polarizability ({\boldmath$\alpha$}) and…

化学物理 · 物理学 2019-04-26 Abhisek Ghosal , Tanmay Mandal , Amlan K. ~Roy

Accurate first-principles calculations for the energies, charge distributions, and spin symmetries of many-electron systems are essential to understand and predict the electronic and structural properties of molecules and materials.…

化学物理 · 物理学 2024-01-24 Yuming Shi , Yi Shi , Adam Wasserman

Delocalization errors, such as charge-transfer and some self-interaction errors, plague computationally-efficient and otherwise-accurate density functional approximations (DFAs). Evaluating a semi-local DFA non-self-consistently on the…

化学物理 · 物理学 2023-01-02 Aaron D. Kaplan , Chandra Shahi , Pradeep Bhetwal , Raj K. Sah , John P. Perdew

The charge-density response of extended materials is usually dominated by the collective oscillation of electrons, the plasmons. Beyond this feature, however, intriguing many-body effects are observed. They cannot be described by one of the…

材料科学 · 物理学 2018-12-20 Martin Panholzer , Matteo Gatti , Lucia Reining