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The application of density functional theory to nuclear structure is discussed, highlighting the current status of the effective action approach using effective field theory, and outlining future challenges.

Nuclear Theory · Physics 2009-11-10 R. J. Furnstahl

A central aim of multiscale modeling is to use results from the Schr\"odinger Equation to predict phenomenology on length scales that far exceed those of typical molecular correlations. In this work, we present a new approach rooted in…

Statistical Mechanics · Physics 2024-10-11 Anna T. Bui , Stephen J. Cox

We use machine learning methods to approximate a classical density functional. As a study case, we choose the model problem of a Lennard Jones fluid in one dimension where there is no exact solution available and training data sets must be…

Soft Condensed Matter · Physics 2019-03-04 Shang-Chun Lin , Martin Oettel

Fluids made of two-dimensional hard particles with polygonal shapes may stabilize symmetries which do not result directly from the particle shape. This is due to the formation of clusters in the fluid. Entropy alone can drive these effects,…

Soft Condensed Matter · Physics 2024-02-05 Yuri Martinez-Raton , Enrique Velasco

We present a new density functional, which is the result of a natural evolution and improvement of previous density functional theories for liquid helium. We focus on the key ingredients of the theory, showing how they determine important…

Condensed Matter · Physics 2007-05-23 Franco Dalfovo , Andrea Lastri , Sandro Stringari

The Gordian knot of density-functional theories for classical molecular liquids remains finding an accurate free-energy functional in terms of the densities of the atomic sites of the molecules. Following Kohn and Sham, we show how to solve…

Soft Condensed Matter · Physics 2009-02-10 Johannes Lischner , T. A. Arias

The molecular density functional theory of fluids provides an exact theory for computing solvation free energies in implicit solvents. One of the reasons it has not received nearly as much attention as quantum density functional theory for…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers

For the problem of molecular solvation, formulated as a liquid submitted to the external potential field created by a molecular solute of arbitrary shape dissolved in that solvent, we draw a connection between the Gaussian field theory…

Chemical Physics · Physics 2017-10-04 V. Sergiievskyi , M. Levesque , B. Rotenberg , D. Borgis

Density functional theory is usually formulated in terms of the density in configuration space. Functionals of the momentum-space density have also been studied, and yet other densities could be considered. We offer a unified view from a…

We address the problem of predicting the solvation free energy and equilibrium solvent density profile in fews minutes from the molecular density functional theory beyond the usual hypernetted-chain approximation. We introduce a bridge…

Chemical Physics · Physics 2017-10-02 Cédric Gageat , Luc Belloni , Daniel Borgis , Maximilien Levesque

Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern statistical mechanics. It is an extension of the highly successful method of classical density functional theory (DFT) to nonequilibrium systems.…

Soft Condensed Matter · Physics 2020-12-29 Michael te Vrugt , Hartmut Löwen , Raphael Wittkowski

Recent years have seen vast improvements in the ability of rigorous quantum-mechanical methods to treat systems of interest to molecular biology. In this review article, we survey common computational methods used to study such large,…

Biological Physics · Physics 2012-07-05 Brian Kolb , T. Thonhauser

Partition density functional theory is a formally exact procedure for calculating molecular properties from Kohn-Sham calculations on isolated fragments, interacting via a global partition potential that is a functional of the fragment…

Other Condensed Matter · Physics 2015-05-13 Peter Elliott , Kieron Burke , Morrel H. Cohen , Adam Wasserman

Implicit electron-density solvation models based on joint density-functional theory offer a computationally efficient solution to the problem of calculating thermodynamic quantities of solvated systems from firstprinciples quantum…

Chemical Physics · Physics 2015-02-12 Deniz Gunceler , T. A. Arias

Current-density-functional theory is used to calculate ionization energies of current-carrying atomic states. A perturbative approximation to full current-density-functional theory is implemented for the first time, and found to be…

Materials Science · Physics 2009-11-10 E. Orestes , T. Marcasso , K. Capelle

We present a three-dimensional molecular density functional theory (MDFT) of water derived from first-principles that relies on the particle's density and multipolar polarization density and includes the density-polarization coupling. This…

Chemical Physics · Physics 2016-05-25 Guillaume Jeanmairet , Nicolas Levy , Maximilien Levesque , Daniel Borgis

Classical density functional theory for finite temperatures is usually formulated in the grand-canonical ensemble where arbitrary variations of the local density are possible. However, in many cases the systems of interest are closed with…

Statistical Mechanics · Physics 2022-04-06 James F. Lutsko

Using methods of kinetic theory and liquid state theory we propose a description of the non-equilibrium behavior of molecular fluids which takes into account their microscopic structure and thermodynamic properties. The present work…

Statistical Mechanics · Physics 2009-02-24 Umberto Marini Bettolo Marconi , Simone Melchionna

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

The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

Condensed Matter · Physics 2007-05-23 Sandro Stringari