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Classical density functional theory (DFT) provides an exact variational framework for determining the equilibrium properties of inhomogeneous fluids. We report a generalization of DFT to treat the non-equilibrium dynamics of classical…

软凝聚态物质 · 物理学 2013-09-06 Matthias Schmidt , Joseph M. Brader

Dynamic density functional theory (DDFT) is a promising approach for predicting the structural evolution of a drying suspension containing one or more types of colloidal particles. The assumed free-energy functional is a key component of…

软凝聚态物质 · 物理学 2022-11-23 Mayukh Kundu , Michael P. Howard

We analyze the ground state energy and spin of quantum dots obtained from spin density functional theory (SDFT) calculations. First, we introduce a Strutinsky-type approximation, in which quantum interference is treated as a correction to a…

介观与纳米尺度物理 · 物理学 2007-05-23 Denis Ullmo , Hong Jiang , Weitao Yang , Harold U. Baranger

We analyze the structure of the Fundamental Measure Theory for the free energy density functional of hard sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is done in…

软凝聚态物质 · 物理学 2009-11-07 Jose A. Cuesta , Yuri Martinez-Raton , Pedro Tarazona

We perform a comparative study of the free energies and the density distributions in hard sphere crystals using Monte Carlo simulations and density functional theory (employing Fundamental Measure functionals). Using a recently introduced…

软凝聚态物质 · 物理学 2015-05-19 M. Oettel , S. Goerig , A. Haertel , H. Loewen , M. Radu , T. Schilling

Classical density-functional theory provides an efficient alternative to molecular dynamics simulations for understanding the equilibrium properties of inhomogeneous fluids. However, application of density-functional theory to multi-site…

计算物理 · 物理学 2014-02-14 Ravishankar Sundararaman , T. A. Arias

Orbital-free (OF) methods promise significant speed-up of computations based on density functional theory (DFT). In this field, the development of accurate kinetic-energy density functionals remains an open question. In this chapter we…

材料科学 · 物理学 2013-05-03 Constantine Yannouleas , Uzi Landman

We present an orbital-resolved extension of the Hubbard $U$ correction to density-functional theory (DFT). Compared to the conventional shell-averaged approach, the prediction of energetic, electronic and structural properties is strongly…

材料科学 · 物理学 2024-09-18 Eric Macke , Iurii Timrov , Nicola Marzari , Lucio Colombi Ciacchi

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

强关联电子 · 物理学 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

The Hubbard model is investigated in the framework of lattice density functional theory (LDFT). The single-particle density matrix $\gamma_{ij}$ with respect the lattice sites is considered as the basic variable of the many-body problem. A…

强关联电子 · 物理学 2009-11-10 R. Lopez-Sandoval , G. M. Pastor

We represent the free energy functional by a diagrammatic series with tensorial coefficients indexed by powers of length scale. For hard cores, we obtain Percus' exact functional in one dimension and the Kierlik-Rosinberg form of…

软凝聚态物质 · 物理学 2015-05-27 Gavin Leithall , Matthias Schmidt

Simulations in the warm dense matter regime using finite temperature Kohn-Sham density functional theory (FT-KS-DFT), while frequently used, are computationally expensive due to the partial occupation of a very large number of high-energy…

材料科学 · 物理学 2018-04-04 Yael Cytter , Eran Rabani , Daniel Neuhauser , Roi Baer

We compare the behavior of the finite-temperature Hartree-Fock model with that of thermal density functional theory using both ground-state and temperature-dependent approximate exchange functionals. The test system is bcc Li in the…

材料科学 · 物理学 2013-11-26 Valentin V. Karasiev , Travis Sjostrom , S. B. Trickey

In this series of lectures we present the universal method based on the use of the functional integrals to derive the bound state equations for different two-body systems in elementary particle physics as well as in condensed matter theory:…

高能物理 - 唯象学 · 物理学 2007-05-23 Nguyen Van Hieu

The Local Molecular Field Theory (LMF) developed by Weeks and co-workers has proved successful for treating the structure and thermodynamics of a variety of non-uniform liquids. By reformulating LMF in terms of one-body direct correlation…

软凝聚态物质 · 物理学 2015-06-12 A. J. Archer , R. Evans

We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in Statistical Associating Fluid Theory (SAFT), which is the basis of a number of recently developed…

软凝聚态物质 · 物理学 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

Energy functionals serve as the basis for different models and methods in quantum and classical many-particle physics. Arguably, one of the most successful and widely used approaches in material science at both ambient and extreme…

等离子体物理 · 物理学 2024-10-22 Z. Moldabekov , J. Vorberger , T. Dornheim

The advent of the Hohenberg-Kohn theorem in 1964, its extension to finite-T, Kohn-Sham theory, and relativistic extensions provide the well-established formalism of density-functional theory (DFT). This theory enables the calculation of all…

量子物理 · 物理学 2013-07-18 M. W. C. Dharma-wardana

Stochastic and mixed stochastic-deterministic density functional theory (DFT) are promising new approaches for the calculation of the equation-of-state and transport properties in materials under extreme conditions. In the intermediate warm…

计算物理 · 物理学 2023-09-27 Vidushi Sharma , Lee A. Collins , Alexander J. White

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

强关联电子 · 物理学 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques