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The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of…

Materials Science · Physics 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

Random Phase Approximation (RPA) provides a very convenient tool to study the ensembles of weakly interacting waves, commonly called Wave Turbulence. In its traditional formulation, RPA assumes that phases of interacting waves are random…

Mathematical Physics · Physics 2009-11-10 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

The spin and density response functions in the random phase approximation (RPA) are derived by linearizing the kinetic equation including a magnetic field, the spin-orbit coupling, and mean fields with respect to an external electric field.…

Strongly Correlated Electrons · Physics 2017-07-13 K. Morawetz

The random-phase-approximation semiclassical scheme for description of plasmon excitations in large metallic nanospheres, with radius range 10-60 nm, is formulated in an all-analytical version. The spectrum of plasmons is determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Jacak , J. Krasnyj , W. Jacak , R. Gonczarek , A. Chepok , L. Jacak

We present an extension of the random--phase approximation (RPA) where the RPA phonons are used as building blocks to construct the excited states. In our model, that we call double RPA (DRPA), we include up to two RPA phonons. This is an…

Nuclear Theory · Physics 2016-02-17 D. Gambacurta , F. Catara , M. Grasso , M. Sambataro , M. V. Andrés , E. G. Lanza

This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds…

Plasma Physics · Physics 2024-11-01 Osama A. Marzouk

The accurate computation of non-linear optical properties (NLOPs) in large polymers requires accounting for electronic correlation effects with a reasonable computational cost. The Random Phase Approximation (RPA) used in the adiabatic…

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

Thermodynamics and dynamics of a classical two-dimensional system with dipole-like isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical…

Soft Condensed Matter · Physics 2018-03-02 Sergey Khrapak , Nikita Kryuchkov , Stanislav Yurchenko

We consider a quantum multi-component plasma made of point charged particles interacting via the two-body Coulomb potential. Within the Feynman-Kac path integral representation of the system in terms of a classical gas of loops, we derive…

Statistical Mechanics · Physics 2020-08-19 A. Alastuey , V. Ballenegger , D. Wendland

Various strong coupling theories of the one-component plasma have successfully predicted the thermodynamic and structural properties by separating the Coulomb potential into short- and long-ranged parts in {\itshape ad hoc} ways. Moreover,…

Statistical Mechanics · Physics 2018-11-07 Hiroshi Frusawa

The Random Phase Approximation (RPA) for total energies has previously been shown to provide a qualitatively correct description of static correlation in molecular systems, where density functional theory (DFT) with local functionals are…

Materials Science · Physics 2017-09-27 Thomas Olsen

The consistency condition is tested within the particle-particle random-phase approximation (RPA), renormalized RPA (RRPA) and the self-consistent RPA (SCRPA) making use of the Richardson model of pairing. The two-particle separation energy…

Nuclear Theory · Physics 2009-11-11 Nguyen Dinh Dang

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA…

Nuclear Theory · Physics 2021-08-25 P. Schuck , D. S. Delion , J. Dukelsky , M. Jemai , E. Litvinova , G. Roepke , M. Tohyama

The random phase approximation (RPA) for the electron correlation energy, combined with the exact-exchange energy, represents the state-of-the-art exchange-correlation functional within density-functional theory (DFT). However, the standard…

Other Condensed Matter · Physics 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

The relativistic random-phase approximation (RRPA) plus phonon-coupling (PC) model is applied in the analysis of E1 strength distributions in $^{208}$Pb and $^{132}$Sn, for which data on pygmy dipole resonances (PDR) have recently been…

Nuclear Theory · Physics 2008-11-26 E. Litvinova , P. Ring , D. Vretenar

The stopping power and energy loss rate of charged particles traversing a two-dimensional Dirac plasma is investigated. The Dirac plasma considered here models a solid state system, recently realized graphene monolayer, where the conduction…

Mesoscale and Nanoscale Physics · Physics 2008-08-26 Aqsa Arshad , Kashif Sabeeh , M. Tahir

Linearizing the appropriate kinetic equation we derive general response functions including selfconsistent mean fields or density functionals and collisional dissipative contributions. The latter ones are considered in relaxation time…

Nuclear Theory · Physics 2008-12-18 Klaus Morawetz , Uwe Fuhrmann

The widespread use of (generalized) Kohn-Sham density functional theory (KS-DFT) lies in the fact that hierarchical sets of approximations of the exchange-correlation (XC) energy functional can be designed, offering versatile choices to…

Materials Science · Physics 2023-01-31 Igor Ying Zhang , Xinguo Ren

In the framework of the grand-canonical ensemble of statistical mechanics, we give an exact diagrammatic representation of the density profiles in a classical multicomponent plasma near a dielectric wall. By a reorganization of Mayer…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu