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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

The recently developed "internal" Density Functional Theory provides an existence theorem for a local potential that contains the center-of-mass correlations effects. The knowledge of the corresponding energy functional would provide a much…

Nuclear Theory · Physics 2015-06-05 Jeremie Messud

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant of Hohenberg-Kohn density functional theory. DPFT resolves the usual trouble with the gradient-expanded kinetic energy functional…

Quantum Gases · Physics 2021-06-16 Martin-Isbjörn Trappe , Jun Hao Hue , Berthold-Georg Englert

Due to the large value of the scattering length in nuclear systems, standard density--functional theories based on effective interactions usually fail to reproduce the nuclear Fermi liquid behavior both at very low densities and close to…

Nuclear Theory · Physics 2016-09-21 C. J. Yang , M. Grasso , D. Lacroix

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

The derivation of the state of the art tensorial versions of Fundamental Measure Theory (a form of classical Density Functional Theory for hard spheres) are re-examined in the light of the recently introduced concept of global stability of…

Statistical Mechanics · Physics 2021-01-04 James F. Lutsko

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

The primitive model describes ions by point charges with an additional hard-core interaction. In classical density-functional theory the mean-field electrostatic contribution can be obtained from the first order of a functional perturbation…

Soft Condensed Matter · Physics 2022-04-06 Moritz Bültmann , Andreas Härtel

A Density Matrix Functional theory is constructed semi-empirically for the two-level Lipkin model. This theory, based on natural orbitals and occupation numbers, is shown to provide a good description for the ground state energy of the…

Nuclear Theory · Physics 2009-01-21 Denis Lacroix

We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

Strongly Correlated Electrons · Physics 2019-03-11 Yinhan Zhang , Junren Shi

We introduce a class of integral theorems based on cyclic functions and Riemann sums approximating integrals. The Fourier integral theorem, derived as a combination of a transform and inverse transform, arises as a special case. The…

Computation · Statistics 2022-03-22 Nhat Ho , Stephen G. Walker

We give an introductory account of the recent hyperdensity functional theory for the equilibrium statistical mechanics of soft matter systems [F. Samm\"uller et al., Phys. Rev. Lett. 133, 098201 (2024); 10.1103/PhysRevLett.133.098201].…

Soft Condensed Matter · Physics 2025-02-27 Florian Sammüller , Matthias Schmidt

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

Density-functional perturbation theory (DFPT) is nowadays the method of choice for the accurate computation of linear and non-linear response properties of materials from first principles. A notable advantage of DFPT over alternative…

Materials Science · Physics 2019-06-19 Miquel Royo , Massimiliano Stengel

We present a computationally efficient method to incorporate density-functional theory into the calculation of reflectivity in low-energy electron microscopy. The reflectivity is determined by matching plane waves representing the electron…

Materials Science · Physics 2013-11-13 John F. McClain , Jiebing Sun , Karsten Pohl , Jian-Ming Tang

It has recently been shown that a free energy for Baxter's sticky hard sphere fluid is uniquely defined within the framework of fundamental measure theory (FMT) for the inhomogeneous hard sphere fluid, provided that it obeys scaled-particle…

Soft Condensed Matter · Physics 2015-06-03 Hendrik Hansen-Goos , Mark A. Miller , J. S. Wettlaufer

Conceiving a molecule as composed of smaller molecular fragments, or subunits, is one of the pillars of the chemical and physical sciences, and leads to productive methods in quantum chemistry. Using a fragmentation scheme, efficient…

Chemical Physics · Physics 2015-04-14 Martín A. Mosquera , Adam Wasserman

The formalism of Kohn and Sham uses a specific (model) hamiltonian which highly simplifies the many-electron problem to that of noninteracting fermions. The theorem of Hohenberg and Kohn tells us that, for a given ground state density, this…

Materials Science · Physics 2007-07-05 Paola Gori-Giorgi , Julien Toulouse , Andreas Savin

We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

Strongly Correlated Electrons · Physics 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions,…

Soft Condensed Matter · Physics 2009-11-07 Richard P. Sear