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The predictions of the mode-coupling theory of the glass transition (MCT) for the tagged-particle density-correlation functions and the mean-squared displacement curves are compared quantitatively and in detail to results from Newtonian-…

Statistical Mechanics · Physics 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

We compare two different approaches to investigations of many-electron systems. The first is the Hartree-Fock (HF) method and the second is the Density Functional Theory (DFT). Overview of the main features and peculiar properties of the HF…

Materials Science · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

The phenomenon of electrowetting, i.e., the dependence of the macroscopic contact angle of a fluid on the electrostatic potential of the substrate, is analyzed in terms of the density functional theory of wetting. It is shown that…

Soft Condensed Matter · Physics 2014-05-07 Markus Bier , Ingrid Ibagon

Hydrodynamic fluctuations at non-zero temperature can cause slow relaxation toward equilibrium even in observables which are not locally conserved. A classic example is the stress-stress correlator in a normal fluid, which, at zero…

High Energy Physics - Theory · Physics 2009-11-10 Pavel Kovtun , Laurence G. Yaffe

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

We show that the expression of the high-density (i.e small-$r_s$) correlation energy per electron for the one-dimensional uniform electron gas can be obtained by conventional perturbation theory and is of the form $\Ec(r_s) = -\pi^2/360 +…

Strongly Correlated Electrons · Physics 2013-08-19 Pierre-François Loos

Hydro-kinetic theory of thermal fluctuations is applied to a non-conformal relativistic fluid. Solving the hydro-kinetic equations for an isotropically expanding background we find that hydrodynamic fluctuations give ultraviolet divergent…

Nuclear Theory · Physics 2018-08-21 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

A diagrammatic kinetic theory of density fluctuations in simple dense liquids at long times, described in the preceding paper, is applied to a high density Lennard-Jones liquid to calculate various equilibrium time correlation functions.…

Statistical Mechanics · Physics 2015-06-18 Kevin R. Pilkiewicz , Hans C. Andersen

Accurately describing liquids and their mixtures beyond equilibrium remains a significant challenge in modern chemical physics and physical chemistry, especially regarding the calculation of transport properties in liquid-phase systems.…

Soft Condensed Matter · Physics 2025-06-19 Yury A. Budkov , Nikolai N. Kalikin , Petr E. Brandyshev

For a freely evolving granular fluid, the buildup of spatial correlations in density and flow field is described using fluctuating hydrodynamics. The theory for incompressible flows is extended to the general, compressible case, including…

Statistical Mechanics · Physics 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito

Equilibrium particle densities near a hard wall are studied for a quantum fluid made of point charges which interact via Coulomb potential without any regularization. In the framework of the grand-canonical ensemble, we use an equivalence…

Statistical Mechanics · Physics 2009-11-10 Jean-Noel Aqua , Francoise Cornu

Strong correlations within a symmetry-unbroken ground-state wavefunction can show up in approximate density functional theory as symmetry-broken spin-densities or total densities, which are sometimes observable. They can arise from soft…

Strongly Correlated Electrons · Physics 2021-04-28 John P. Perdew , Adrienn Ruzsinszky , Jianwei Sun , Niraj K. Nepal , Aaron D. Kaplan

We present a novel, thermodynamically consistent modification of the Pitzer-Debye-H\"uckel term and its extension for concentration dependent density, molar mass and relative permittivity. This extension is validated for ionic liquids by…

Soft Condensed Matter · Physics 2023-04-05 Andrés González de Castilla , Simon Müller , Irina Smirnova

We present and discuss some ideas concerning an ``average-pair-density functional theory'', in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin

We use molecular dynamics simulations of the SPC-E model of liquid water to derive probability distributions for water density fluctuations in probe volumes of different shapes and sizes, both in the bulk as well as near hydrophobic and…

Statistical Mechanics · Physics 2014-08-05 Amish J. Patel , David Chandler

We report new accurate mesasurements of the mobility of excess electrons in high density Helium gas in extended ranges of temperature $[(26\leq T\leq 77) K ]$ and density $[ (0.05\leq N\leq 12.0) {atoms} \cdot {nm}^{-3}]$ to ascertain the…

Plasma Physics · Physics 2016-09-08 A. F. Borghesani , M. Santini

Interpolating the exchange-correlation energy along the density-fixed adiabatic connection of density functional theory is a promising way to build approximations that are not biased towards the weakly correlated regime. These…

Strongly Correlated Electrons · Physics 2020-12-10 Derk P. Kooi , Paola Gori-Giorgi

Recently, a thermodynamic bound on correlation times was formulated in [A. Dechant, J. Garnier-Brun, S.-i. Sasa, Phys. Rev. Lett. 131, 167101 (2023)], showing how the decay of correlations in Langevin dynamics is bounded by short-time…

Statistical Mechanics · Physics 2025-05-15 Cai Dieball , Aljaž Godec

In a Galilean superfluid, the depletion of superfluid density with rising temperature can be attributed to thermally excited non-interacting phonons. For systems without Galilean symmetry, it has been shown [1] that ``phonon wind" is no…

Quantum Gases · Physics 2026-05-04 Viktor Berger , Nikolay Prokof'ev , Boris Svistunov