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We present a concise account of our development of the first genuine Local Density Approximation (LDA) to the Energy Density Functional (EDF) for fermionic systems with superfluid correlations, with a particular emphasis to nuclear systems.

Nuclear Theory · Physics 2009-11-10 Aurel Bulgac , Yongle Yu

Site density functional theory (SDFT) provides a rigorous framework for statistical mechanics analysis of inhomogeneous molecular liquids. The key defining feature of these systems is the presence of two very distinct interactions scales…

Statistical Mechanics · Physics 2020-11-24 Gennady N. Chuev , Marina V. Fedotova , Marat Valiev

Couplings between relative motion and internal structures are known to affect fusion barriers by dynamically modifying the densities of the colliding nuclei. The effect is expected to be stronger at energies near the barrier top, where…

Nuclear Theory · Physics 2014-03-13 A. S. Umar , C. Simenel , V. E. Oberacker

Structural and thermodynamic properties of ionic fluids are related to those of a simpler ``mimic'' system with short ranged intermolecular interactions in a spatially varying effective field by use of Local Molecular Field (LMF) theory,…

Statistical Mechanics · Physics 2007-05-23 Yng-gwei Chen , Charanbir Kaur , John D. Weeks

Low energy heavy-ion fusion reactions are governed by quantum tunneling through the Coulomb barrier formed by a strong cancellation of the repulsive Coulomb force with the attractive nuclear interaction between the colliding nuclei.…

Nuclear Theory · Physics 2013-01-03 K. Hagino , N. Takigawa

We study heavy-ion fusion reactions at energies near the Coulomb barrier, in particular with neutron-rich radioactive ion beams. Dynamic microscopic calculations are carried out on a three-dimensional lattice using the Density-Constrained…

Nuclear Theory · Physics 2015-06-11 V. E. Oberacker , A. S. Umar , R. Keser

Linear-response time-dependent density functional theory (LR-TDDFT) simulations of disordered extended systems require averaging over different snapshots of ion configurations to minimize finite size effects due to the snapshot--dependence…

Computational Physics · Physics 2023-07-19 Zhandos A. Moldabekov , Jan Vorberger , Mani Lokamani , Tobias Dornheim

I describe the Time-Dependent Superfluid Local Density Approximation, which is an adiabatic extension of the Density Functional Theory to superfluid Fermi systems and their real-time dynamics. This new theoretical framework has been applied…

Quantum Gases · Physics 2013-06-18 Aurel Bulgac

To examine the applicability of the time-dependent density-functional theory (TDDFT) for treating the electron-nucleus coupling in excited states, we calculate the strength distribution associated with the pi-pi* transition in ethylene. The…

Chemical Physics · Physics 2007-05-23 G. F. Bertsch , J. Giansiracusa , K. Yabana

Nanostructures with open shell transition metal or molecular constituents host often strong electronic correlations and are highly sensitive to atomistic material details. This tutorial review discusses method developments and applications…

Strongly Correlated Electrons · Physics 2017-07-27 M. Schüler , S. Barthel , T. Wehling , M. Karolak , A. Valli , G. Sangiovanni

We present a theoretical framework based on an extension of dynamical density functional theory (DDFT) for describing the structure and dynamics of cells in living tissues and tumours. DDFT is a microscopic statistical mechanical theory for…

Soft Condensed Matter · Physics 2018-09-03 Hayder M. Al-Saedi , Andrew J. Archer , John Ward

Density functional theory (DFT) underpins modern atomistic simulations of transition-metal surfaces. It can predict key properties linked to catalytic performance, such as adsorption energies and barrier heights, enabling new paradigms in…

Materials Science · Physics 2026-03-23 Benjamin X. Shi , Timothy C. Berkelbach

We extend the density-functional theory for superconductors (SCDFT) to take account of the dynamical structure of the screened Coulomb interaction. We construct an exchange-correlation kernel in the SCDFT gap equation on the basis of the…

Superconductivity · Physics 2014-01-08 Ryosuke Akashi , Ryotaro Arita

The dynamical description of correlated nuclear motion is based on a set of coupled equations of motion for the one-body density matrix $\rho (11';t)$ and the two-body correlation function $c_2(12,1'2';t)$, which is obtained from the…

Nuclear Theory · Physics 2009-02-23 Hong-Gang Luo , W. Cassing , Shun-Jin Wang

A fundamental assumption of the dynamical density functional theory (DDFT) of colloidal systems is that a grand-canonical free energy functional may be employed to generate the thermodynamic driving forces. Using one-dimensional hard-rods…

Soft Condensed Matter · Physics 2013-06-04 Johannes Reinhardt , Joseph Michael Brader

The influence on the fusion process of coupling to collective degrees of freedom has been explored. The significant enhancement of the fusion cross section at sub-barrier energies was compared to predictions of one-dimensional barrier…

Nuclear Theory · Physics 2008-11-26 C. Beck

The dependencies of charged particle pseudorapidity density and transverse energy pseudorapidity density at midrapidity on the collision energy and on the number of nucleon participants, or centrality, measured in nucleus-nucleus collisions…

High Energy Physics - Phenomenology · Physics 2015-04-01 Aditya Nath Mishra , Raghunath Sahoo , Edward K. G. Sarkisyan , Alexander S. Sakharov

Accurately modeling chemical reactions at the atomistic level requires high-level electronic structure theory due to the presence of unpaired electrons and the need to properly describe bond breaking and making energetics. Commonly used…

Materials engineering using atomistic modeling is an essential tool for the development of qubits and quantum sensors. Traditional density-functional theory (DFT) does however not adequately capture the complete physics involved, including…

Hydrodynamics provides a successful framework to effectively describe the dynamics of complex many-body systems ranging from subnuclear to cosmological scales by introducing macroscopic quantities such as particle densities and fluid…

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