English
Related papers

Related papers: Density functional for ternary non-additive hard s…

200 papers

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

Strongly Correlated Electrons · Physics 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques

In fundamental-measure theories the bulk excess free-energy density of a hard-sphere fluid mixture is assumed to depend on the partial number densities ${\rho_i}$ only through the four scaled-particle-theory variables ${\xi_\alpha}$, i.e.,…

Soft Condensed Matter · Physics 2012-10-08 Andrés Santos

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

Physics Education · Physics 2010-12-07 Nathan Argaman , Guy Makov

The density-functional (DF) theory provides a simple method for calculating the properties of an interacting system under an external potential by associating it with a corresponding non-interacting system. Here, we find some relations in…

Chemical Physics · Physics 2009-11-10 Junzo Chihara , Mitsuru Yamagiwa

Polymer self-consistent field theory techniques are used to derive quantum density functional theory without the use of the theorems of density functional theory. Instead, a free energy is obtained from a partition function that is…

Chemical Physics · Physics 2022-11-29 Russell B. Thompson

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new,…

Nuclear Theory · Physics 2010-11-19 Alexandros Gezerlis , G. F. Bertsch

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

Soft Condensed Matter · Physics 2009-11-07 R. Roth , R. Evans , A. A. Louis

The solution of the mean spherical approximation (MSA) integral equation for isotropic multicomponent dipolar hard sphere fluids without external fields is used to construct a density functional theory (DFT), which includes external fields,…

Statistical Mechanics · Physics 2015-05-28 I. Szalai , S. Dietrich

This paper provides the first rigorous derivation of a binary-ternary Boltzmann equation describing the kinetic properties of a dense hard-spheres gas, where particles undergo either binary or ternary instantaneous interactions, while…

Analysis of PDEs · Mathematics 2020-07-02 Ioakeim Ampatzoglou , Natasa Pavlovic

A density functional study of the structure of a layer formed by chain molecules pinned to a solid surface is presented. The chains are modeled as freely joined spheres. Segments and all components interact via Lennard-Jones (12-6)…

Soft Condensed Matter · Physics 2012-07-16 M. Borówko , T. Staszewski

We investigate the orientational properties of a homogeneous and inhomogeneous tetrahedral 4-patch fluid (Kern--Frenkel model). Using integral equations, either (i) HNC or (ii) a modified HNC scheme with simulation input, the full…

Soft Condensed Matter · Physics 2025-01-07 Alessandro Simon , Luc Belloni , Daniel Borgis , Martin Oettel

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

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

The dynamical density functional theory of Marconi and Tarazona [J. Chem. Phys., 110, 8032 (1999)], a theory for the non-equilibrium dynamics of the one-body density profile of a colloidal fluid, is applied to a binary fluid mixture of…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

The Ginzburg-Landau free energy functional for hard-spheres is constructed using the Fundamental Measure Theory approach to Density Functional Theory as a starting point. The functional is used to study the liquid-fcc solid planer interface…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

The principles of density-functional theory are studied for finite lattice systems represented by graphs. Surprisingly, the fundamental Hohenberg-Kohn theorem is found void in general, while many insights into the topological structure of…

Quantum Physics · Physics 2022-01-13 Markus Penz , Robert van Leeuwen

A hard sphere fluid confined by hard, structureless, and parallel walls is investigated using a certain version of weighted density functional theory. The density profile, the excess coverage, the finite size contribution to the free…

Statistical Mechanics · Physics 2008-02-03 B. Gotzelmann , S. Dietrich

We investigate bulk structural properties of tetravalent associating particles within the framework of classical density functional theory, building upon Wertheim's thermodynamic perturbation theory. To this end, we calculate density…

Soft Condensed Matter · Physics 2021-12-08 Daniel Stopper , Frank Hirschmann , Martin Oettel , Roland Roth

To speak about fundamental measure theory obliges to mention dimensional crossover. This feature, inherent to the systems themselves, was incorporated in the theory almost from the beginning. Although at first it was thought to be a…

Statistical Mechanics · Physics 2009-11-10 Luis Lafuente , Jose A. Cuesta