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Real-time time-dependent density functional theory (RT-TDDFT) is a powerful approach for investigating various ultrafast phenomena in materials. However, most existing RT-TDDFT studies rely on adiabatic local or semi-local approximations,…

Materials Science · Physics 2025-12-23 Yuyang Ji , Haotian Zhao , Peize Lin , Xinguo Ren , Lixin He

We study the convergence to equilibrium of a class of nonlinear recombination models. In analogy with Boltzmann's H theorem from kinetic theory, and in contrast with previous analysis of these models, convergence is measured in terms of…

Probability · Mathematics 2018-04-24 Pietro Caputo , Alistair Sinclair

Potential non-relativistic Quantum Electrodynamics and the Keldysh-Schwinger formalism is used to derive Kadanoff-Baym-like equations for two-body field correlators. These cover the out-off-equilibrium dynamics and spectrum of heavy…

High Energy Physics - Theory · Physics 2021-10-13 Tobias Binder

We present a local density approximation (LDA) for one-dimensional (1D) systems interacting via the soft-Coulomb interaction based on quantum Monte-Carlo calculations. Results for the ground-state energies and ionization potentials of…

Strongly Correlated Electrons · Physics 2015-05-27 N. Helbig , J. I. Fuks , M. Casula , M. J. Verstraete , M. A. L. Marques , I. V. Tokatly , A. Rubio

Two-dimensional correlation functions in $\Delta\eta-\Delta \phi$ for charged hadrons emitted in heavy-ion collisions are calculated in event-by-event hydrodynamics. With the Glauber model for the initial density distributions in the…

Nuclear Theory · Physics 2015-06-11 Piotr Bozek , Wojciech Broniowski

In this paper we apply the entropy principle to the relativistic version of the differential equations describing a standard fluid flow, that is, the equations for mass, momentum, and a system for the energy matrix. These are the second…

Mathematical Physics · Physics 2018-02-22 Hans Wilhelm Alt

The quark-meson-coupling model is used to study droplet formation from the liquid-gas phase transition in cold asymmetric nuclear matter. The critical density and proton fraction for the phase transition are determined in the mean field…

Nuclear Theory · Physics 2009-10-31 G. Krein , D. P. Menezes , M. Nielsen , C. Providencia

Non-relativistic effective field theories (NREFTs) play a crucial role in various areas of physics, from cold atom experiments to cosmology. In this paper, we present a systematic framework for deriving NREFTs from relativistic theories…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 H. S. Modirzadeh , R. Moti , M. H. Namjoo

Performing electronic structure calculations for large systems, such as nanoparticles or metal clusters, via orbital based Hartree-Fock or Kohn-Sham theories is computationaly demanding. To study such systems, therefore, we have taken…

Condensed Matter · Physics 2007-05-23 Arup Banerjee , Manoj K. Harbola

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

This paper is devoted to the analysis of the uniform null controllability for a family of nonlinear reaction-diffusion systems approximating a parabolic-elliptic system which models the electrical activity of the heart. The uniform, with…

Optimization and Control · Mathematics 2015-09-28 Mostafa Bendahmane , Felipe Wallison Chaves-Silva

We recall the generalization of the Feynman-Metropolis-Teller approximation for a compressed atom using a relativistic Fermi-Thomas model. These results within a Wigner-Seitz approximation lead to a new equation of state for white dwarfs…

Astrophysics · Physics 2015-06-24 Remo J. Ruffini

The leading relativistic and QED corrections to the ground state energy of the three-body system (epe) are calculated numerically using a Hylleraas correlated basis set. The accuracy of the nonrelativistic variational ground state wave…

Atomic Physics · Physics 2007-05-23 M. Grigorescu , G. W. F. Drake

We examine the evolution of an inhomogeneous mixture of non-relativistic pressureless cold dark matter (CDM), coupled to dark energy (DE) characterised by the equation of state parameter $w<-1/3$, with the interaction term proportional to…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Germán Izquierdo , Roberto C Blanquet-Jaramillo , Roberto A Sussman

The convergence to equilibrium of mass action reaction-diffusion systems arising from networks of chemical reactions is studied. The considered reaction networks are assumed to satisfy the detailed balance condition and have no boundary…

Analysis of PDEs · Mathematics 2017-02-13 Klemens Fellner , Bao Quoc Tang

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

Strongly Correlated Electrons · Physics 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

I propose a simple and manageable method that allows for deriving coupling constants of model energy density functionals (EDFs) directly from ab initio calculations performed for finite fermion systems. A proof-of-principle application…

Nuclear Theory · Physics 2016-02-19 J. Dobaczewski

Recently, we have demonstrated that there exists a possible relationship between q-deformed algebras in two different contexts of Statistical Mechanics, namely, the Tsallis' framework and the Kaniadakis' scenario, with a local form of…

Mathematical Physics · Physics 2016-03-18 José Weberszpil , José Abdalla Helayël-Neto

We study the interactions of a possibly dense and/or quantum degenerate gas with driving light. Both the atoms and the electromagnetic fields are represented by quantum fields throughout the analysis. We introduce a field theory version of…

Condensed Matter · Physics 2009-10-30 Janne Ruostekoski , Juha Javanainen

The electromagnetic form factors of $\pi$ and $K$ mesons and deuteron are calculated in modified impulse approximation using instant form of relativistic Hamiltonian dynamics. The different model wave functions are used. Meson wave function…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. F. Krutov , V. E. Troitsky
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