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The fast Ewald methods are widely used to compute the point-charge electrostatic interactions in molecular simulations. The key step that introduces errors in the computation is the particle-mesh interpolation. In this work, the optimal…

化学物理 · 物理学 2017-10-25 Han Wang , Jun Fang , Xingyu Gao

Computer simulations of model systems are widely used to explore striking phenomena in promising applications spanning from physics, chemistry, biology, to materials science and engineering. The long range electrostatic interactions between…

计算物理 · 物理学 2020-07-21 Sheng-Chun Yang , Bin Li , You-Liang Zhu , Aatto Laaksonen , Yong-Lei Wang

The evaluation of the electrostatic potential is fundamental to the study of condensed phase systems. We discuss the calculation of the relevant lattice summations by Ewald-type techniques. A model charge density is introduced, that cancels…

材料科学 · 物理学 2026-04-14 Chiara Ribaldone , Jacques Kontak Desmarais

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…

强关联电子 · 物理学 2009-12-07 Alain Gellé , Marie-Bernadette Lepetit

When evaluating the electrostatic potential, periodic boundary conditions in one, two or three of the spatial dimensions are often needed for different applications. The triply periodic Ewald summation formula is classical, and Ewald…

数学物理 · 物理学 2014-04-15 Anna-Karin Tornberg

An Ewald decomposition of the two-dimensional Yukawa potential and its derivative is presented for both the periodic and the free-space case. These modified Bessel functions of the second kind of zeroth and first degrees are used e.g. when…

计算工程、金融与科学 · 计算机科学 2019-11-15 Sara Pålsson , Anna-Karin Tornberg

The ENUF method, i.e., Ewald summation based on the Non-Uniform FFT technique (NFFT), is implemented in Dissipative Particle Dynamics (DPD) simulation scheme to fast and accurately calculate the electrostatic interactions at mesoscopic…

计算物理 · 物理学 2013-03-20 Yong-Lei Wang , Aatto Laaksonen , Zhong-Yuan Lu

Ewald summation and physically equivalent methods such as particle-mesh Ewald, kubic-harmonic expansions, or Lekner sums are commonly used to calculate long-range electrostatic interactions in computer simulations of polar and charged…

化学物理 · 物理学 2009-10-31 Gerhard Hummer , Niels Grønbech-Jensen , Martin Neumann

Using Ewald's summation method we investigate collective electronic excitations (excitons) of ultracold atoms in parallel planar optical lattices including long range interactions. The exciton dispersion relation can then be suitably…

量子物理 · 物理学 2011-10-04 Hashem Zoubi , Helmut Ritsch

Simulating the static and dynamic properties of semidilute polymer solutions with Brownian dynamics (BD) requires the computation of a large system of polymer chains coupled to one another through excluded-volume and hydrodynamic…

软凝聚态物质 · 物理学 2020-07-03 Aashish Jain , P. Sunthar , B. Dünweg , J. Ravi Prakash

To minimise systematic errors in Monte Carlo simulations of charged particles, long range electrostatic interactions have to be calculated accurately and efficiently. Standard approaches, such as Ewald summation or the naive application of…

计算物理 · 物理学 2021-02-24 William Robert Saunders , James Grant , Eike Hermann Müller

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…

软凝聚态物质 · 物理学 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

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…

数值分析 · 数学 2021-06-16 Ondrej Maxian , Raul P. Peláez , Leslie Greengard , Aleksandar Donev

We present a new method, in the following called MMM2D, to accurately calculate the electrostatic energy and forces on charges being distributed in a two dimensional periodic array of finite thickness. It is not based on an Ewald summation…

软凝聚态物质 · 物理学 2009-11-07 Axel Arnold , Christian Holm

We derive analytic solutions for the potential and field in a one-dimensional system of masses or charges with periodic boundary conditions, in other words Ewald sums for one dimension. We also provide a set of tools for exploring the…

数学物理 · 物理学 2015-05-19 Bruce N. Miller , Jean-Louis Rouet

Quasi-2D Coulomb systems are of fundamental importance and have attracted much attention in many areas nowadays. Their reduced symmetry gives rise to interesting collective behaviors, but also brings great challenges for particle-based…

数值分析 · 数学 2025-02-05 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

In this article we develop an algorithm for the efficient simulation of electrolytes in the presence of physical boundaries. In previous work the Discrete Ion Stochastic Continuum Overdamped Solvent (DISCOS) algorithm was derived for triply…

We present an accurate and efficient algorithm to calculate the electrostatic interaction of charged point particles with partially periodic boundary conditions that are confined along the nonperiodic direction by two metallic parallel…

材料科学 · 物理学 2016-11-03 Samare Rostami , S. Alireza Ghasemi , Ehsan Nedaaee Oskoee

We utilize the domain integral equation formulation to simulate two-dimensional transverse electric scattering in a homogeneous medium and a summation of modulated Gaussian functions to approximate the dual Gabor window. Then we apply Ewald…

数值分析 · 数学 2023-12-04 Xinyang Lua , M. C. van Beurdenb , Qingbiao Wua

We study a hybrid quantum system composed of an ion and an electric dipole. We show how a trapped ion can be used to measure the small electric field generated by a classical dipole. We discuss the application of this scheme to measure the…

量子气体 · 物理学 2015-01-13 Jordi Mur-Petit , Juan José García-Ripoll