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We consider the pairing Hamiltonian and systematically construct its density functional in the strong-coupling limit and in the limit of large particle number. In the former limit, the functional is an expansion into central moments of…

Nuclear Theory · Physics 2008-11-26 T. Papenbrock , Anirban Bhattacharyya

We report first principle results for nuclear structure and optical responses of high pressure liquid hydrogen along two isotherms in the region of molecular dissociation. We employ Density Functional Theory with the vdW-DF approximation…

Materials Science · Physics 2019-07-24 Vitaly Gorelov , Carlo Pierleoni , David M. Ceperley

Density functional theory stems from the Hohenberg-Kohn-Sham-Mermin (HKSM) theorem in the grand canonical ensemble (GCE). However, as recent work shows, although its extension to the canonical ensemble (CE) is not straightforward, work in…

Statistical Mechanics · Physics 2009-11-07 J. A. Hernando

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

The solution of the Poisson--Boltzmann equation for counterions confined between two charged plates is known analytically up to a constant, namely, the ion density in the middle of the channel. This quantity is relevant also because it…

Computational Physics · Physics 2018-09-06 Andrei Bazarenko , Marcello Sega

We introduce a method to carry out zero-temperature calculations within density functional theory (DFT) but without relying on the Born-Oppenheimer (BO) approximation for the ionic motion. Our approach is based on the finite-temperature…

Materials Science · Physics 2018-11-21 Grigory Kolesov , Efthimios Kaxiras , Efstratios Manousakis

This paper presents a stochastic approach to the clustering evolution of dark matter haloes in the Universe. Haloes, identified by a Press-Schechter-type algorithm in Lagrangian space, are described in terms of `counting fields', acting as…

Astrophysics · Physics 2009-10-30 P. Catelan , F. Lucchin , S. Matarrese , C. Porciani

Temperature and luminosity functions of X-ray clusters are computed semi-analytically, combining a simple model for the cluster gas properties with the distribution functions of halo formation epochs proposed by Lacey & Cole (1993) and…

Astrophysics · Physics 2009-10-28 Tetsu Kitayama , Yasushi Suto

The Time-dependent Hartree-Fock (TDHF) theory is applied to the study of heavy ion collisions at energies around the Coulomb barrier. The competition between fusion and nucleon transfer mechanisms is investigated. For intermediate mass…

Nuclear Theory · Physics 2015-06-11 Cédric Simenel , A. Wakhle , Benoît Avez

The density dependent relativistic hadron (DDRH) theory is introduced as an effective field theory for nuclei and hypernuclei. A Dirac-Brueckner approach to in-medium nucleon-hyperon interactions is presented. Density dependent meson-baryon…

Nuclear Theory · Physics 2007-05-23 H. Lenske , C. M. Keil , F. Hofmann , S. Briganti

We use the Bogoliubov theory of Bose-Einstein condensation to study the properties of dipolar particles (atoms or molecules) confined in a uniform two-dimensional geometry at zero temperature. We find equilibrium solutions to the dipolar…

Quantum Gases · Physics 2012-06-08 Andrew G. Sykes , Christopher Ticknor

The thermophoretic motion of a charged spherical colloidal particle and its accompanying cloud of counterions and co-ions in a temperature gradient is studied theoretically. Using the Debye-Huckel approximation, the Soret drift velocity of…

Soft Condensed Matter · Physics 2008-08-05 Seyyed Nader Rasuli , Ramin Golestanian

We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the macro-ion…

Soft Condensed Matter · Physics 2015-07-28 L. Samaj , E. Trizac

We explore a function with two shape parameters for the dark-matter halo density profile subject to baryonic effects, which is a special case of the general Zhao family of models applied to simulated dark matter haloes by Dekel et al. This…

The density-constrained time-dependent Hartree-Fock (DC-TDHF) theory is a fully microscopic approach for calculating heavy-ion interaction potentials and fusion cross sections below and above the fusion barrier. We discuss recent…

Nuclear Theory · Physics 2014-02-07 A. S. Umar , V. E. Oberacker , R. Keser , J. A. Maruh , P. -G. Reinhard

We present an inhomogeneous dynamical mean field theory (I-DMFT) that is suitable to investigate electron-lattice interactions in non-translationally invariant and/or inhomogeneous systems. The presented approach, whose only assumption is…

Materials Science · Physics 2018-10-26 Kevin-Davis Richler , Simone Fratini , Sergio Ciuchi , Didier Mayou

The shapes of invariant differential cross section for charged particle production as function of transverse momentum measured in heavy-ion collisions are analyzed. The data measured at RHIC and LHC are treated as function of energy density…

High Energy Physics - Phenomenology · Physics 2013-05-03 A. A. Bylinkin , A. A. Rostovtsev , N. S. Chernyavskaya

Kohn-Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn-Sham Hamiltonian generally results in a large number of basis functions…

Numerical Analysis · Mathematics 2015-05-27 Lin Lin , Jianfeng Lu , Lexing Ying , E. Weinan

We present an accurate and efficient framework for real-space Hubbard-corrected density functional theory. In particular, we obtain expressions for the energy, atomic forces, and stress tensor suitable for real-space finite-difference…

Computational Physics · Physics 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana

The structure of polydisperse hard sphere fluids, in the presence of a wall, is studied by the Rosenfeld density functional theory. Within this approach, the local excess free energy depends on only four combinations of the full set of…

Soft Condensed Matter · Physics 2009-10-31 I. Pagonabarraga , M. E. Cates , G. J. Ackland
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