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Strong correlations within a symmetry-unbroken ground-state wavefunction can show up in approximate density functional theory as symmetry-broken spin-densities or total densities, which are sometimes observable. They can arise from soft…

Strongly Correlated Electrons · Physics 2021-04-28 John P. Perdew , Adrienn Ruzsinszky , Jianwei Sun , Niraj K. Nepal , Aaron D. Kaplan

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen

We investigate the response of a system of hard spheres to two classes of perturbations over a range of densities spanning the fluid, crystalline, and glassy regimes within a molecular dynamics framework. Firstly, we consider the relaxation…

Statistical Mechanics · Physics 2025-09-04 Matthew Kafker , Xerxes D. Arsiwalla

We calculate ground-state energies and densities of a helium atom confined in an impenetrable spherical box within density functional theory. These calculations are performed by variationally solving Kohn-Sham equation with the ground-state…

Atomic Physics · Physics 2010-06-24 Subhajit Waugh , Avijit Chowdhury , Arup Banerjee

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

Statistical Mechanics · Physics 2021-10-04 Hiroshi Frusawa

Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

Chemical Physics · Physics 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein

It was recently observed that sand flowing down a vertical tube sometimes forms a traveling density pattern in which a number of regions with high density are separated from each other by regions of low density. In this work, we consider…

Condensed Matter · Physics 2016-08-14 Jysoo Lee , Michael Leibig

In this work we study in a formal way the density dependent hadron field theory at finite temperature for nuclear matter. The thermodynamical potential and related quantities, as energy density and pressure are derived in two different…

Nuclear Theory · Physics 2008-11-26 S. S. Avancini , M. E. Bracco , M. Chiapparini , D. P. Menezes

A density functional theory for a macroion suspension is examined, where the excess free energy corresponds to the macroion self energy arising from the polarisation of the supporting electrolyte solution. This is treated within a…

Soft Condensed Matter · Physics 2007-05-23 Patrick B. Warren

Given a vector space of microscopic quantum observables, density functional theory is formulated on its dual space. A generalized Hohenberg-Kohn theorem and the existence of the universal energy functional in the dual space are proven. In…

Nuclear Theory · Physics 2009-09-25 G. Rosensteel , Ts. Dankova

An effective field theory approach is used to describe quantum matter at greater-than-atomic but less-than-nuclear densities which are encountered in white dwarf stars. We focus on the density and temperature regime for which charged spin-0…

High Energy Physics - Phenomenology · Physics 2010-05-07 Gregory Gabadadze , Rachel A. Rosen

When developing and assessing density functional theory methods, a finite basis set is usually employed. In most cases, however, the issue of basis set dependency is neglected. Here, we assess several basis sets and functionals. In…

Chemical Physics · Physics 2007-05-23 A. Daniel Boese , Jan M. L. Martin , Nicholas C. Handy

A combination of fundamental measure density functional theory and Monte Carlo computer simulation is used to determine the orientation-resolved interfacial tension and stiffness for the equilibrium hard-sphere crystal-fluid interface.…

Soft Condensed Matter · Physics 2012-06-27 Andreas Härtel , Martin Oettel , Roberto E. Rozas , Stefan U. Egelhaaf , Jürgen Horbach , Hartmut Löwen

We present dynamical density functional theory results for the time evolution of the density distribution of a sedimenting model two-dimensional binary mixture of colloids. The interplay between the bulk phase behaviour of the mixture, its…

Soft Condensed Matter · Physics 2015-06-17 Alexandr Malijevsky , Andrew J. Archer

Drawing on the theory of quantum mechanical stress, we introduce the stress density in density functional theory. In analogy with the Chetty-Martin energy density, the stress density provides a spatial resolution of the contributions to the…

Materials Science · Physics 2009-10-31 Alessio Filippetti , Vincenzo Fiorentini

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 present a theoretical study of capillary condensation of fluids adsorbed in mesoporous disordered media. Combining mean-field density functional theory with a coarse-grained description in terms of a lattice-gas model allows us to…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Kierlik , P. A. Monson , M. L. Rosinberg , G. Tarjus

Over the past two decades, a large number of studies addressed the topic of crystal nucleation in suspensions of hard spheres. The shared result of all these efforts is that, at low super-saturations, experimentally observed nucleation…

Soft Condensed Matter · Physics 2022-06-22 Wilkin Wöhler , Tanja Schilling

The asymptotic form of the energy density for a gas of particles surrounding a sphere of mass $M$ and radius $R$ is studied using Einstein's equations. It is shown that if the pressure of the gas $p$ varies linearly with the energy density…

High Energy Physics - Phenomenology · Physics 2007-05-23 Achilles D. Speliotopoulos