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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

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

Soft Condensed Matter · Physics 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

The density functional theory (DFT) is the most versatile electronic structure method used in quantum chemical calculations, and is increasingly applied in astrochemical research. This mini-review provides an overview of the applications of…

Astrophysics of Galaxies · Physics 2023-10-24 Qingli Liao , Junzhi Wang , Peng Xie , Enwei Liang , Zhao Wang

Subsystem Density-Functional Theory (DFT) is an emerging technique for calculating the electronic structure of complex molecular and condensed phase systems. In this topical review, we focus on some recent advances in this field related to…

Chemical Physics · Physics 2015-06-24 Alisa Krishtal , Debalina Sinha , Alessandro Genova , Michele Pavanello

Linear scaling density functional theory approaches to electronic structure are often based on the tendency of electrons to localize even in large atomic and molecular systems. However, in many cases of actual interest, for example in…

Chemical Physics · Physics 2022-03-25 Marcel David Fabian , Ben Shpiro , Roi Baer

Nuclear pasta, that is an inhomogeneous distribution of nuclear matter characterised by non-spherical clustered structures, is expected to occur in a narrow spatial region at the bottom of the inner crust of neutron stars, but the width of…

High Energy Astrophysical Phenomena · Physics 2021-11-09 H. Dinh Thi , A. F. Fantina , F. Gulminelli

The dense neutron-rich matter found in supernovae and neutron stars is expected to form complex nonuniform phases referred to as nuclear pasta. The pasta shapes depend on density, temperature and proton fraction and determine many transport…

Nuclear Theory · Physics 2014-12-03 A. S. Schneider , D. K. Berry , C. M. Briggs , M. E. Caplan , C. J. Horowitz

Using the density functional theory (DFT) with the relativistic mean field (RMF) model, we study the non-uniform state of nuclear matter, ``nuclear pasta''. We self-consistently include the Coulomb interaction together with other…

This chapter presents controlled approximations of Kohn-Sham density functional theory (DFT) that enable very large scale simulations. The work is motivated by the study of defects in crystalline solids, though the ideas can be used in…

Materials Science · Physics 2021-12-14 Kaushik Bhattacharya , Vikram Gavini , Michael Ortiz , Mauricio Ponga , Phanish Suryanarayana

The pasta phases are calculated for warm stellar matter in a framework of relativistic mean-field models, including the possibility of light cluster formation. Results from three different semiclassical approaches are compared with a…

To explain several properties of finite nuclei, infinite matter, and neutron stars in a unified way within the relativistic mean field models, it is important to extend them either with higher order couplings or with density-dependent…

Nuclear Theory · Physics 2013-04-09 Neha Gupta , P. Arumugam

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 calculate the superfluid density of nucleons in disordered pasta phases in the inner crust of neutron stars using an effective medium approach which parallels that previously used for calculating the electrical conductivity of…

Nuclear Theory · Physics 2022-06-01 Zhao-Wen Zhang , C. J. Pethick

We investigate the nuclear pasta phases in neutron star crusts by conducting a large number of three-dimensional Hartree-Fock+BCS calculations at densities leading to the crust-core transition. We survey the shape parameter space of pasta…

Non uniform structures of the nucleon matter at subnuclear densities are numerically studied by means of the density functional theory with relativistic mean-fields coupled with the electric field. A particular role of the charge screening…

The current generation of covariant mean-field models has had many successes in calculations of bulk observables for medium to heavy nuclei, but there remain many open questions. New challenges are confronted when trying to systematically…

Nuclear Theory · Physics 2017-01-25 R. J. Furnstahl

We describe the fission dynamics of $^{240}$Pu within an implementation of the Density Functional Theory (DFT) extended to superfluid systems and real-time dynamics. We demonstrate the critical role played by the pairing correlations, which…

Nuclear Theory · Physics 2017-06-29 Aurel Bulgac , Shi Jin , Piotr Magierski , Kenneth J. Roche , Ionel Stetcu

One of the most promising techniques used for studying the electronic properties of materials is based on Density Functional Theory (DFT) approach and its extensions. DFT has been widely applied in traditional solid state physics problems…

Materials Science · Physics 2013-06-03 Nicola Varini , Davide Ceresoli , Layla Martin-Samos , Ivan Girotto , Carlo Cavazzoni

Neutron-rich matter at subnuclear densities may involve complex structures displaying a variety of shapes, such as spherical, slablike, and/or rodlike shapes. These phases of the {\it nuclear pasta} are expected to exist in the crust of…

Astrophysics · Physics 2009-11-10 C. J. Horowitz , M. A. Perez-Garcia , J. Piekarewicz

Nuclear clusters or voids in the inner crust of neutron stars were predicted to have various shapes collectively nicknamed nuclear pasta. The recent review in Ref. \cite{Lopez1} by L\'opez, Dorso and Frank summarized their systematic…

Nuclear Theory · Physics 2021-01-21 Bao-An Li