English
Related papers

Related papers: Model density approach to Ewald summations

200 papers

Electron charge density is a fundamental physical quantity, determining various properties of matter. In this study, we have proposed a deep-learning model for accurate charge density prediction. Our model naturally preserves physical…

Materials Science · Physics 2023-09-27 Taoyuze Lv , Zhicheng Zhong , Yuhang Liang , Feng Li , Jun Huang , Rongkun Zheng

The constant potential molecular dynamics simulation method proposed by Siepmann and Sprik and reformulated later by Reed (SR-CPM) has been widely employed to investigate the metallic electrolyte/electrode interfaces, especially for…

Chemical Physics · Physics 2022-05-04 Haoyu Li , Peiyao Wang , Jefferson Zhe Liu , Gengping Jiang

The pair-coupled-cluster doubles (pCCD) method has emerged as a viable approach for quantum-chemical studies of strongly correlated systems. Despite its lower formal scaling (O(N$^4$)) compared to other versions of coupled cluster (CC)…

Chemical Physics · Physics 2026-04-17 Rahul Chakraborty , Paweł Tecmer

One of the goals in the development of large scale electronic structure methods is to perform calculations explicitly for a localised region of a system, while still taking into account the rest of the system outside of this region. An…

Materials Science · Physics 2009-10-01 J. R. Trail , D. M. Bird

An efficient real space method is derived for the evaluation of the Madelung's potential of ionic crystals. The proposed method is an extension of the Evjen's method. It takes advantage of a general analysis for the potential convergence in…

Strongly Correlated Electrons · Physics 2007-11-20 Alain Gelle , Marie-Bernadette Lepetit

Quantum--Mechanical methods that are both computationally fast and accurate are not yet available for electronic excitations having charge transfer character. In this work, we present a significant step forward towards this goal for those…

Chemical Physics · Physics 2015-06-12 Michele Pavanello , Troy Van Voorhis , Lucas Visscher , Johannes Neugebauer

Coulomb interaction, following an inverse-square force-law, quantifies the amount of force between two stationary and electrically charged particles. The long-range nature of Coulomb interactions poses a major challenge to molecular…

Computational Physics · Physics 2022-01-26 Jiuyang Liang , Pan Tan , Yue Zhao , Lei Li , Shi Jin , Liang Hong , Zhenli Xu

Electron density is a fundamental quantity, which can in principle determine all ground state electronic properties of a given system. Although machine learning (ML) models for electron density based on either an atom-centered basis or a…

Chemical Physics · Physics 2024-10-08 Chaoqiang Feng , Yaolong Zhang , Bin Jiang

We propose a semi-classical approach based on the Vlasov equation to describe the time-dependent electronic dynamics in a bulk simple metal under an ultrashort intense laser pulse. We include in the effective potential not only the ionic…

Plasma Physics · Physics 2021-09-08 Mizuki Tani , Tomohito Otobe , Yasushi Shinohara , Kenichi L. Ishikawa

In the absence of impurities and boundary effects, first order phase transitions are initiated by the nucleation of critical bubbles. In thermally driven transitions many systems can remain metastable for an extended time, possibly tens of…

High Energy Physics - Lattice · Physics 2025-02-21 Jaakko Hällfors , Kari Rummukainen

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

Soft Condensed Matter · Physics 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

We present a method to calculate the electronic charge density of periodic solids in the GW approximation, using the space-time method. We investigate for the examples of silicon and germanium to what extent the GW approximation is…

Condensed Matter · Physics 2009-10-31 Martin M. Rieger , R. W. Godby

We introduce ELECTRAFI, a fast, end-to-end differentiable model for predicting periodic charge densities in crystalline materials. ELECTRAFI constructs anisotropic Gaussians in real space and exploits their closed-form Fourier transforms to…

Materials Science · Physics 2026-01-29 Jonas Elsborg , Felix Ærtebjerg , Luca Thiede , Alán Aspuru-Guzik , Tejs Vegge , Arghya Bhowmik

We present an NPT extension of Ewald summation with prolates (ESP), a spectrally accurate and scalable particle-mesh method for molecular dynamics simulations of periodic, charged systems. Building on the recently introduced ESP framework,…

Numerical Analysis · Mathematics 2026-01-05 Jiuyang Liang , Libin Lu , Shidong Jiang

The accurate determination of magnetic phase transitions in electronic systems is an important task of solid state theory. While numerically exact results are readily available for model systems such as the half-filled 3D Hubbard model, the…

Strongly Correlated Electrons · Physics 2022-01-19 Sergei Iskakov , Emanuel Gull

Although the GW approximation is recognized as one of the most accurate theories for predicting materials excited states properties, scaling up conventional GW calculations for large systems remains a major challenge. We present a powerful…

Computational Physics · Physics 2018-03-28 Weiwei Gao , Weiyi Xia , Xiang Gao , Peihong Zhang

We develop a fast method for computing the electrostatic energy and forces for a collection of charges in doubly-periodic slabs with jumps in the dielectric permittivity at the slab boundaries. Our method achieves spectral accuracy by using…

Numerical Analysis · Mathematics 2021-06-16 Ondrej Maxian , Raul P. Peláez , Leslie Greengard , Aleksandar Donev

Dielectrically confined Coulomb systems are widely employed in molecular dynamics (MD) simulations. Despite extensive efforts in developing efficient and accurate algorithms for these systems, rigorous and accurate error estimates, which…

Numerical Analysis · Mathematics 2025-03-25 Xuanzhao Gao , Qi Zhou , Zecheng Gan , Jiuyang Liang

We analytically examine the pair interaction for parallel, discrete helices of charge. Symmetry arguments allow for the energy to be decomposed into a sum of terms, each of which has an intuitive geometric interpretation. Truncated Fourier…

Soft Condensed Matter · Physics 2013-05-29 Jonathan Landy , Joseph Rudnick

The quasi-2D electrostatic systems, characterized by periodicity in two dimensions with a free third dimension, have garnered significant interest in many fields. We apply the sum-of-Gaussians (SOG) approximation to the Laplace kernel,…

Numerical Analysis · Mathematics 2024-12-09 Xuanzhao Gao , Shidong Jiang , Jiuyang Liang , Zhenli Xu , Qi Zhou