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We obtain a fundamental measure density functional for mixtures of parallel hard cylinders. To this purpose we first generalize to multicomponent mixtures the fundamental measure functional proposed by Tarazona and Rosenfeld for a…

Soft Condensed Matter · Physics 2009-11-13 Yuri Martinez-Raton , Jose A. Capitan , Jose A. Cuesta

The rational function approximation method, density functional theory, and NVT Monte Carlo simulation are used to obtain the density profiles of multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures with a size ratio…

Statistical Mechanics · Physics 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

We present a versatile density functional approach (DFT) for calculating the depletion potential in general fluid mixtures. In contrast to brute force DFT, our approach requires only the equilibrium density profile of the small particles…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , R. Evans , S. Dietrich

A recently proposed rational-function approximation [Phys. Rev. E \textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard spheres is applied to evaluate analytically (in Laplace space) the local density profiles of…

Soft Condensed Matter · Physics 2013-04-08 Riccardo Fantoni , Andrés Santos

We analyze the structure of the Fundamental Measure Theory for the free energy density functional of hard sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is done in…

Soft Condensed Matter · Physics 2009-11-07 Jose A. Cuesta , Yuri Martinez-Raton , Pedro Tarazona

By shifting the reference system for the local-density approximation (LDA) from the electron gas to other model systems one obtains a new class of density functionals, which by design account for the correlations present in the chosen…

Strongly Correlated Electrons · Physics 2009-11-07 N. A. Lima , M. F. Silva , L. N. Oliveira , K. Capelle

Density-functional theory is applied to compute the ground-state energies of quantum hard-sphere solids. The modified weighted-density approximation is used to map both the Bose and the Fermi solid onto a corresponding uniform Bose liquid,…

Statistical Mechanics · Physics 2009-10-30 A. R. Denton , P. Nielaba , N. W. Ashcroft

The accuracy of density-functional theory (DFT) is determined by the quality of the approximate functionals, such as exchange-correlation in electronic DFT and the excess functional in the classical DFT formalism of fluids. The exact…

The known and usable truly nonlocal functionals for exchange-correlation energy of the inhomogeneous electron gas are the ADA (average density approximation) and the WDA (weighted density approximation). ADA, by design, yields the correct…

Materials Science · Physics 2009-10-30 I. I. Mazin , D. J. Singh

We develop a classical density functional for water which combines the White Bear fundamental-measure theory (FMT) functional for the hard sphere fluid with attractive interactions based on the Statistical Associating Fluid Theory…

Soft Condensed Matter · Physics 2013-09-10 Jessica Hughes , Eric Krebs , David Roundy

We report a local, weight-dependent correlation density-functional approximation that incorporates information about both ground and excited states in the context of density-functional theory for ensembles (eDFT). This density-functional…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Emmanuel Fromager

The first detailed comparison between ab initio calculations of finite fermionic superfluid systems, performed recently by Chang and Bertsch [Phys. Rev. A 76, 021603(R), (2007)] and by von Stecher, Greene and Blume [e-print…

Superconductivity · Physics 2009-02-05 Aurel Bulgac

An approach to obtain the structural properties of additive binary hard-sphere mixtures is presented. Such an approach, which is a nontrivial generalization of the one recently used for monocomponent hard-sphere fluids [S. Pieprzyk, A. C.…

Soft Condensed Matter · Physics 2020-01-20 S. Pieprzyk , A. C. Brańka , S. B. Yuste , A. Santos , M. López de Haro

A density functional theory for a mixture of hard rods and polymers modeled as chains built of hard tangent spheres is proposed by combining the functional due to Yu and Wu for the polymer mixtures [J. Chem. Phys. {\bf 117}, 2368 (2002)]…

Statistical Mechanics · Physics 2007-05-23 P. Bryk

In the spirit of the White-Bear version of fundamental measure theory we derive a new density functional for hard-sphere mixtures which is based on a recent mixture extension of the Carnahan-Starling equation of state. In addition to the…

Soft Condensed Matter · Physics 2009-11-11 Hendrik Hansen-Goos , Roland Roth

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

Soft Condensed Matter · Physics 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias

Here we describe the form of the Asymmetric Superfluid Local Density Approximation (ASLDA), a Density Functional Theory (DFT) used to model the two-component unitary Fermi gas. We give the rational behind the functional, and describe…

Superconductivity · Physics 2008-10-29 Aurel Bulgac , Michael McNeil Forbes

The fundamental measure density functional theory for hard spheres is generalized to binary mixtures of arbitrary positive and moderate negative non-additivity between unlike components. In bulk the theory predicts fluid-fluid phase…

Soft Condensed Matter · Physics 2009-11-10 Matthias Schmidt

We introduce a generalization (gLDA) of the traditional Local Density Approximation (LDA) within density functional theory. The gLDA uses both the one-electron Seitz radius $\rs$ and a two-electron hole curvature parameter $\eta$ at each…

Chemical Physics · Physics 2015-06-18 Pierre-François Loos , Caleb J. Ball , Peter M. W. Gill

We propose a density functional for anisotropic fluids of hard body particles. It interpolates between the well-established geometrically based Rosenfeld functional for hard spheres and the Onsager functional for elongated rods. We test the…

Materials Science · Physics 2009-11-07 Giorgio Cinacchi , Friederike Schmid
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