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The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

Nuclear Theory · Physics 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

Time-dependent density functional theory (TDDFT) is a standard approach for calculating optical excitations of molecules and solids, while ensemble DFT (EDFT) is a promising alternative under development. We introduce ensemble TDDFT…

Chemical Physics · Physics 2026-05-22 Kimberly J. Daas , Steven Crisostomo , Kieron Burke

We present the basic concepts and recent developments in the time-dependent density functional theory (TDDFT) for describing nuclear dynamics at low energy. The symmetry breaking is inherent in nuclear energy density functionals (EDFs),…

Nuclear Theory · Physics 2016-12-21 Takashi Nakatsukasa , Kenichi Matsuyanagi , Masayuki Matsuo , Kazuhiro Yabana

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dynamics at low energy. The time-dependent density-functional theory (TDDFT) is utilized for…

Nuclear Theory · Physics 2013-10-16 Takashi Nakatsukasa

The role of dynamical pairing in induced fission dynamics is investigated using the time-dependent generator coordinate method in the Gaussian overlap approximation, based on the microscopic framework of nuclear energy density functionals.…

Nuclear Theory · Physics 2021-10-27 Jie Zhao , Tamara Nikšić , Dario Vretenar

By projecting the stochastic mean-field dynamics on a suitable collective path during the entrance channel of heavy-ion collisions, expressions for transport coefficients associated with relative distance are extracted. These transport…

Nuclear Theory · Physics 2015-05-13 Sakir Ayik , Kouhei Washiyama , Denis Lacroix

We discuss possible avenues to study fission dynamics starting from a time-dependent mean-field approach. Previous attempts to study fission dynamics using the time-dependent Hartree-Fock (TDHF) theory are analyzed. We argue that different…

Nuclear Theory · Physics 2015-05-18 A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard

Calculations are presented for the time evolution of $^{240}$Pu from the proximity of the outer saddle point until the fission fragments are well separated, using the time-dependent density functional theory extended to superfluid systems.…

Nuclear Theory · Physics 2019-10-01 Aurel Bulgac , Shi Jin , Kenneth Roche , Nicolas Schunck , Ionel Stetcu

We discuss the nature of the low-frequency quadrupole vibrations from small-amplitude to large-amplitude regimes. We consider full five-dimensional quadrupole dynamics including three-dimensional rotations restoring the broken symmetries as…

The dynamics of induced fission of $^{226}$Th is investigated in a theoretical framework based on the finite-temperature time-dependent generator coordinate method (TDGCM) in the Gaussian overlap approximation (GOA). The thermodynamical…

Nuclear Theory · Physics 2019-01-29 Jie Zhao , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons contribute coherently to nuclear excitations (vibrations, rotations) that are characterized by…

Nuclear Theory · Physics 2022-03-18 Z. P. Li , D. Vretenar

An extension of time-dependent density functional theory (TDDFT), the generalized time-dependent generator coordinate method (TDGCM), is applied to a study of induced nuclear fission dynamics. In the generalized TDGCM, the correlated…

Nuclear Theory · Physics 2025-04-11 B. Li , D. Vretenar , T. Nikši\' c , P. W. Zhao , J. Meng

In this paper, we derive the mean-field limit of a collective dynamics model with time-varying weights, for weight dynamics that preserve the total mass of the system as well as indistinguishability of the agents. The limit equation is a…

Analysis of PDEs · Mathematics 2021-03-12 Nastassia Pouradier Duteil

Macroscopic fields like electromagnetic, MHD, acoustic or gravitational waves are usually described by classical wave equations with possible additional damping terms and coherent sources. The aim of this paper is to develop a complete…

Quantum Physics · Physics 2019-09-04 Robert Alicki

Various ways to analyze the dynamical response of clusters and molecules to electromagnetic perturbations exist. Particularly rich information can be obtained from measuring the properties of electrons emitted in the course of the…

Atomic and Molecular Clusters · Physics 2015-06-11 P. Wopperer , P. M. Dinh , P. -G. Reinhard , E. Suraud

Information on dissipation in the entrance channel of heavy-ion collisions is extracted by macroscopic reduction procedure of Time-Dependent Hartree-Fock theory. The method gives access to a fully microscopic description of the friction…

Nuclear Theory · Physics 2009-03-04 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

The ground states and collective excitations of trapped Fermion gases consisting of atoms with magnetic dipole moment are studied using a time-dependent density-matrix approach. The advantages of the density-matrix approach are that…

Quantum Gases · Physics 2015-06-16 Mitsuru Tohyama

The symmetric tensor energy-impulse of interaction of collective of electric charges with an electromagnetic field is received. A system of covariant energy and momentum conservation equations or a system of equations for the collective…

Classical Physics · Physics 2020-02-10 Yuriy A. Spirichev

Many active matter systems, especially on the microscopic scale, are well approximated as overdamped, meaning that any inertial momentum is immediately dissipated by the environment. On the other hand, especially for macroscopic active…

Soft Condensed Matter · Physics 2020-05-14 Dominic Arold , Michael Schmiedeberg

The collective ground-state correlations stemming from low-lying quadrupole excitations are computed microscopically. To that end, the self-consistent mean-field model is employed on the basis of the Skyrme-Hartre-Fock (SHF) functional…

Nuclear Theory · Physics 2008-11-26 P. Klüpfel , J. Erler , P. --G. Reinhard , J. A. Maruhn