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This work presents a computer program that performs symmetry-unrestricted 3D nuclear time-dependent density function theory (DFT) calculations. The program features the augmented Lagrangian constraint in the static calculation. This allows…

Nuclear Theory · Physics 2024-03-20 Yue Shi , Paul D. Stevenson , Nobuo Hinohara

A state-of-the-art approach for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor is introduced and demonstrated for a series of highly charged hydrogen-like ions. Firstly,…

Atomic Physics · Physics 2020-07-01 Igor A. Valuev , Zoltán Harman , Christoph H. Keitel , Natalia S. Oreshkina

The explicit density (rho) dependence in the coupling coefficients of the non-relativistic nuclear energy-density functional (EDF) encodes effects of three-nucleon forces and dynamical correlations. The necessity for a coupling coefficient…

Nuclear Theory · Physics 2018-01-31 Panagiota Papakonstantinou , Tae-Sun Park , Yeunhwan Lim , Chang Ho Hyun

We present a surface stacking fault (SSF) energy approach to predicting defect nucleation from the surfaces of surface-dominated nanostructure such as FCC metal nanowires. The approach leads to a criteria that predicts the initial yield…

Materials Science · Physics 2015-06-11 Jin-Wu Jiang , Austin M. Leach , Ken Gall , Harold S. Park , Timon Rabczuk

A new method for implementing the kinetic energy operator for real-space, grid-based electronic structure codes is developed. It is based on multi-order Adaptive Finite Differencing (AFD) and uses atomic pseudo orbitals produced by the…

Computational Physics · Physics 2023-05-23 E. L. Briggs , Wenchang Lu , J. Bernholc

The effective Skyrme energy density functionals are widely used in the study of nuclear structure, nuclear reaction and neutron star, but they are less established from the heavy ion collision data. In this work, we find 22 effective Skyrme…

Nuclear Theory · Physics 2019-11-14 Yingxun Zhang , Zhuxia Li , Min Liu

Classical molecular dynamics (MD) simulations enable modeling of materials and examination of microscopic details that are not accessible experimentally. The predictive capability of MD relies on the force field (FF) used to describe…

For the contact of two finite portions of interacting rigid crystalline surfaces, we compute the dependence of the pinning energy barrier on the misfit angle and contact area. The resulting data are used to investigate the distribution of…

Statistical Mechanics · Physics 2011-07-19 Nicola Manini , O. M. Braun

Our current understanding of the structure and dynamics of aqueous interfaces at the molecular level has grown substantially in the last few decades due to the continuous development of surface-specific spectroscopies, such as vibrational…

Chemical Physics · Physics 2023-09-27 Yair Litman , Jinggang Lan , Yuki Nagata , David M. Wilkins

We propose a new method to investigate interactions involved in atomic force microscopy (AFM). It is a dynamical method relying on the growth of oscillations via parametric resonance. With this method the second and third derivatives of the…

Materials Science · Physics 2007-05-23 Franz-Josef Elmer

We introduce a robust optimization method for flip-free distortion energies used, for example, in parametrization, deformation, and volume correspondence. This method can minimize a variety of distortion energies, such as the symmetric…

Graphics · Computer Science 2022-11-17 Oded Stein , Jiajin Li , Justin Solomon

We deal with a long-standing problem about how to design an energy-stable numerical scheme for solving the motion of a closed curve under {\sl anisotropic surface diffusion} with a general anisotropic surface energy $\gamma(\boldsymbol{n})$…

Numerical Analysis · Mathematics 2022-10-27 Weizhu Bao , Wei Jiang , Yifei Li

The force between two interacting particles as a function of distance is one of the most fundamental curves in science. In this regard, Atomic Force Microscopy (AFM) represents the most powerful tool in nanoscience but with severe limits…

Mesoscale and Nanoscale Physics · Physics 2015-11-24 Mario S. Rodrigues , Luca Costa , Joel Chevrier , Fabio Comin

An axiomatic approach is herein used to determine the physically acceptable forms for general $D$-dimensional kinetic energy density functionals (KEDF). The resulted expansion captures most of the known forms of one-point KEDFs. By…

Chemical Physics · Physics 2017-06-08 Sabre Kais , Fahhad H Alharbi

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

The implementation of an efficient self-consistent field (SCF) method including both scalar relativistic effects and spin-orbit interaction in density functional theory (DFT) is presented. We make use of Gaussian-type orbitals (GTOs) and…

Chemical Physics · Physics 2024-05-03 Yannick J. Franzke , Werner M. Schosser , Fabian Pauly

Background: Fission barriers of actinide nuclei have been mostly and for long been microscopi- cally calculated for even-even fissioning systems. Calculations in the case of odd nuclei have been performed merely within a so-called…

Nuclear Theory · Physics 2017-02-01 Meng-Hock Koh , L. Bonneau , P. Quentin , T. V. Nhan Hao , Wagiran Husin

In the first part of this paper, we present a study of the symmetry energy ($a_s$) and its slope parameter ($L$) for nuclear matter in the framework of the Fermi liquid theory of Landau and Migdal. We derive an exact relation between $a_s$…

Nuclear Theory · Physics 2022-01-24 Wolfgang Bentz , Ian C. Cloët

We introduce a simple but efficient electronic fitness function (EFF) that describes the electronic aspect of the thermoelectric performance. This EFF finds materials that overcome the inverse relationship between $\sigma$ and $S$ based on…

Materials Science · Physics 2017-11-22 Guangzong Xing , Jifeng Sun , Yuwei Li , Xiaofeng Fan , Weitao Zheng , David J. Singh

The statistical behavior of the eigenvalues of the sample covariance matrix (SCM) plays a key role in determining the performance of adaptive beamformers (ABF) in presence of noise. This paper presents a method to compute the approximate…

Systems and Control · Computer Science 2018-08-06 Saurav R. Tuladhar , John R. Buck