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I describe the foundation of a Density Functional Theory approach to include pairing correlations, which was applied to a variety of systems ranging from dilute fermions, to neutron stars and finite nuclei. Ground state properties as well…

Nuclear Theory · Physics 2017-08-23 Aurel Bulgac

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

We propose a field-theoretical approach to a polymer system immersed in an ideal mixture of clustering centers. The system contains several species of these clustering centers with different functionality, each of which connects a fixed…

Materials Science · Physics 2015-05-28 Riccardo Fantoni , Kristian K. Muller-Nedebock

We present a scheme for investigating arbitrary thermal observables in spatially inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble yields any given observable as an explicit hyper-density functional.…

Soft Condensed Matter · Physics 2024-09-10 Florian Sammüller , Silas Robitschko , Sophie Hermann , Matthias Schmidt

The universe, with large-scale homogeneity, is locally inhomogeneous, clustering into stars, galaxies and larger structures. Such property is described by the smoothness parameter $\alpha$ which is defined as the proportion of matter in the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Hao-Ran Yu , Tian Lan , Hao-Yi Wan , Tong-Jie Zhang , Bao-Quan Wang

We study the interactions between two negatively charged macroscopic surfaces confining positive counterions. A density-functional approach is introduced which, besides the usual mean-field interactions, takes into account the correlations…

Soft Condensed Matter · Physics 2015-06-25 A. Diehl , M. N. Tamashiro , Marcia C. Barbosa , Yan Levin

We have developed a novel multiscale computational scheme to describe coupled dynamics of light electromagnetic field with electrons and atoms in crystalline solids, where first-principles molecular dynamics based on time-dependent density…

Computational Physics · Physics 2019-06-12 Atsushi Yamada , Kazuhiro Yabana

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

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

The response of an infinite, periodic, insulating, solid to an infinitesimally small electric field is investigated in the framework of Density Functional Theory. We find that the applied perturbing potential is not a unique functional of…

mtrl-th · Physics 2016-09-07 X. Gonze , Ph. Ghosez , R. W. Godby , .

We develop a dynamical density functional theory based model for the drying of colloidal films on planar surfaces. We consider mixtures of two different sizes of hard-sphere colloids. Depending on the solvent evaporation rate and the…

Soft Condensed Matter · Physics 2021-01-28 Boshen He , Ignacio Martin-Fabiani , Roland Roth , Gyula I. Tóth , Andrew J. Archer

We prove a novel inversion theorem for functionals given as power series in infinite-dimensional spaces and apply it to the inversion of the density-activity relation for inhomogeneous systems. This provides a rigorous framework to prove…

Mathematical Physics · Physics 2019-09-11 Sabine Jansen , Tobias Kuna , Dimitrios Tsagkarogiannis

We analyse a path to construct density functionals for the dispersion interaction energy from an expression in terms of the ground state densities and exchange-correlation holes of the isolated fragments. The expression is based on a…

Chemical Physics · Physics 2021-01-27 Derk P. Kooi , Paola Gori-Giorgi

We consider a non-homogeneous partially hinged rectangular plate having structural engineering applications. In order to study possible remedies for torsional instability phenomena we consider the gap function as a measure of the torsional…

Analysis of PDEs · Mathematics 2020-09-15 A. Falocchi

By employing monomer-resolved computer simulations and analytical considerations based on polymer scaling theory, we analyze the conformations and interactions of multiarm star polymers strongly adsorbed on a smooth, two-dimensional plane.…

Soft Condensed Matter · Physics 2015-06-15 S. A. Egorov , J. Paturej , C. N. Likos , A. Milchev

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

Materials Science · Physics 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining

We examine statistical field theories of polymeric fluids in view of performing numerical simulations. The partition function of these systems can be expressed as a functional integral over real density fields. The introduction of density…

Statistical Mechanics · Physics 2007-05-23 Glenn H. Fredrickson , Henri Orland

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

Statistical Mechanics · Physics 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

We use a suite of high resolution molecular cloud simulations carried out with the moving mesh code Arepo to explore the nature of star-forming filaments. The simulated filaments are identified and categorised from column density maps in…

Astrophysics of Galaxies · Physics 2015-06-22 Rowan J. Smith , Simon C. O. Glover , Ralf. S. Klessen

We study swelling and structural properties of ionic microgel suspensions within a comprehensive coarse-grained model that combines the polymeric and colloidal natures of microgels as permeable, compressible, charged spheres governed by…

Soft Condensed Matter · Physics 2018-06-07 Tyler J. Weyer , Alan R. Denton
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