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We study the asymptotic decay of the Friedel density oscillations induced by an open boundary in a one-dimensional chain of lattice fermions with a short-range two-particle interaction. From Tomonaga-Luttinger liquid theory it is known that…

Strongly Correlated Electrons · Physics 2020-06-24 Jovan Odavić , Nicole Helbig , Volker Meden

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

Strongly Correlated Electrons · Physics 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

Some open questions exist with fluctuation-induced forces between extended dipoles. Conventional intuition derives from large-separation perturbative approximations to dispersion force theory. Here we present a full non-perturbative theory.…

Quantum Physics · Physics 2015-03-02 M. Boström , P. Thiyam , C. Persson , D. F. Parsons , S. Y. Buhmann , I. Brevik , Bo E. Sernelius

A systematic approach for the construction of a density functional for van der Waals interactions that also accounts for saturation effects is described, i.e. one that is applicable at short distances. A very efficient method to calculate…

Condensed Matter · Physics 2009-10-31 Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth , Maxime Dion

The dissipative mechanism in weakly collisional plasma is a topic that pervades decades of studies without a consensus solution. We compare several energy dissipation estimates based on energy transfer processes in plasma turbulence and…

Density Functional Theory (DFT) calculations show a weak interaction between hydrogen and helium in iron, in contrast to previous reports of a strong trapping of hydrogen at helium. The strong preference of He and H to occupy regions with…

Materials Science · Physics 2012-10-22 C. J. Ortiz , R. Vila , J. M. Pruneda

The influence of a chemically or electrically heterogeneous distribution of interaction sites at a planar substrate on the number density of an adjacent fluid is studied by means of classical density functional theory (DFT). In the case of…

Soft Condensed Matter · Physics 2018-05-25 Maximilian Mußotter , Markus Bier , S. Dietrich

While in principle exact, Kohn-Sham density functional theory -- the workhorse of computational chemistry -- must rely on approximations for the exchange-correlation functional. Despite staggering successes, present-day approximations still…

Density functional theory (DFT) is the de facto approach for predicting self-consistent-field electronic structures of ground-state configurations of complex atoms, molecules, and solids and providing their property data for materials…

Materials Science · Physics 2024-01-30 Zi-Kui Liu

The Breit correction, the finite-light-speed correction for the Coulomb interaction of the electron-electron interaction in $ O \left( 1/ c^2 \right) $, is introduced to density functional theory (DFT) based on the non-relativistic…

Computational Physics · Physics 2020-10-20 Tomoya Naito , Ryosuke Akashi , Haozhao Liang , Shinji Tsuneyuki

The concept of effective depletion forces between two fixed big colloidal particles in a bath of small particles is generalized to a non-equilibrium situation where the bath of small Brownian particles is flowing around the big particles…

Soft Condensed Matter · Physics 2009-11-10 J. Dzubiella , H. Lowen , C. N. Likos

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

Soft Condensed Matter · Physics 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

The recently developed "internal" Density Functional Theory provides an existence theorem for a local potential that contains the center-of-mass correlations effects. The knowledge of the corresponding energy functional would provide a much…

Nuclear Theory · Physics 2015-06-05 Jeremie Messud

A fluid constituted of hard spherocylinders is studied using a density functional theory for non-spherical hard particles, which can be written as a function of weighted densities. This is based on an extended deconvolution of the Mayer…

Soft Condensed Matter · Physics 2015-06-18 René Wittmann , Klaus Mecke

During the last decade, density function theory (DFT) in its static and dynamic time dependent forms, has emerged as a powerful tool to describe the structure and dynamics of doped liquid helium and droplets. In this review, we summarize…

In models of $N$ interacting particles in $\R^d$ as in Density Functional Theory or crowd motion, the repulsive cost is usually described by a two-point function $c_\e(x,y) =\ell\Big(\frac{|x-y|}{\e}\Big)$ where $\ell: \R_+ \to [0,\infty]$…

Mathematical Physics · Physics 2023-10-26 Guy Bouchitté , Rajesh Mahadevan

The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The entropic force exerted by the Brownian fluctuations of a grafted semiflexible polymer upon a rigid smooth wall are calculated both analytically and by Monte Carlo simulations. Such forces are thought to play an important role for…

Soft Condensed Matter · Physics 2007-05-23 Azam Gholami , Jan Wilhelm , Erwin Frey

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac
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