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We present a new approach to efficiently simulate electrolytes confined between infinite charged walls using a 3d Ewald summation method. The optimal performance is achieved by separating the electrostatic potential produced by the charged…

软凝聚态物质 · 物理学 2018-01-18 Alexandre P. dos Santos , Matheus Girotto , Yan Levin

A computer adapted fluctuation formula for the calculation of the wavevector- and frequency-dependent dielectric permittivity for interaction site models of polar fluids within the Ewald summation technique is proposed and applied to…

计算物理 · 物理学 2009-10-31 Igor P. Omelyan

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…

数值分析 · 数学 2025-03-25 Xuanzhao Gao , Qi Zhou , Zecheng Gan , Jiuyang Liang

Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses significant challenges for particle-based simulations. In this…

数值分析 · 数学 2025-07-15 Zecheng Gan , Xuanzhao Gao , Jiuyang Liang , Zhenli Xu

We discuss the application of Widom insertion method for calculation of the chemical potential of individual ions in computer simulations with Ewald summation. Two approaches are considered. In the first approach, an individual ion is…

软凝聚态物质 · 物理学 2022-03-21 Amin Bakhshandeh , Yan Levin

Theoretical estimates for the cutoff errors in the Ewald summation method for dipolar systems are derived. Absolute errors in the total energy, forces and torques, both for the real and reciprocal space parts, are considered. The…

软凝聚态物质 · 物理学 2009-11-07 Zuowei Wang , Christian Holm

Simulating the dynamics of charged particles in quasi-two-dimensional (quasi-2D) nanoconfined systems presents a significant computational challenge due to the long-range nature of electrostatic interactions and the geometric anisotropy. To…

软凝聚态物质 · 物理学 2026-01-07 Zecheng Gan , Xuanzhao Gao , Yuqing Li

We present a rigorous Ewald summation formula to evaluate the electrostatic interactions in two-dimensionally periodic planar interfaces of three-dimensional systems. By rewriting the Fourier part of the summation formula of the original…

材料科学 · 物理学 2014-09-16 Cong Pan , Zhonghan Hu

We have employed the multiple image method to compute the interparticle force for a polydisperse electrorheological (ER) fluid in which the suspended particles can have various sizes and different permittivites. The point-dipole (PD)…

软凝聚态物质 · 物理学 2007-05-23 Y. L. Siu , Jones T. K. Wan , K. W. Yu

Ewald summation is an efficient method for computing the periodic sums that appear when considering the Green's functions of Stokes flow together with periodic boundary conditions. We show how Ewald summation, and accompanying truncation…

流体动力学 · 物理学 2016-03-25 Ludvig af Klinteberg

Ewald summation is widely used to calculate electrostatic interactions in computer simulations of condensed-matter systems. We present an analysis of the errors arising from truncating the infinite real- and Fourier-space lattice sums in…

chem-ph · 物理学 2016-08-31 Gerhard Hummer

An extension to the P3M algorithm for electrostatic interactions is presented, that allows to efficiently compute dipolar interactions in periodic boundary conditions. Theoretical estimates for the root-mean square error of the forces,…

计算物理 · 物理学 2010-12-08 Juan J. Cerda , V. Ballenegger , O. Lenz , C. Holm

The Ewald summation technique is generalised to power-law 1/|r|^k potentials in three-, two- and one-dimensional geometries with explicit formulae for all the components of the sums. The cases of short-range, long-range and "marginal"…

量子气体 · 物理学 2014-07-03 O. N. Osychenko , G. E. Astrakharchik , J. Boronat

A proper treatment of electrostatic interactions is crucial for the accurate calculation of forces in computer simulations. Electrostatic interactions are typically modeled using Ewald based methods, which have become one of the…

软凝聚态物质 · 物理学 2016-09-21 K. A. Terrón-Mejía , R. López-Rendón , A. Gama Goicochea

We study a simple model consisting of an atomic ion and a polar molecule trapped in a single setup, taking into consideration their electrostatic interaction. We determine analytically their collective modes of excitation as a function of…

原子物理 · 物理学 2016-08-11 Jordi Mur-Petit , Juan José García-Ripoll

We present a technique to efficiently compute long-range interactions in systems with periodic boundary conditions. We extend the well-known Ewald method by using a linear combination of screening Gaussian charge distributions instead of…

计算物理 · 物理学 2014-09-16 Ilkka Kylänpää , Esa Räsänen

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

软凝聚态物质 · 物理学 2013-10-01 Kyohei Takae , Akira Onuki

Standard Ewald sums, which calculate e.g. the electrostatic energy or the force in periodically closed systems of charged particles, can be efficiently speeded up by the use of the Fast Fourier Transformation (FFT). In this article we…

软凝聚态物质 · 物理学 2009-10-31 Markus Deserno , Christian Holm

A new method for Ewald summation in planar/slablike geometry, i.e. systems where periodicity applies in two dimensions and the last dimension is "free" (2P), is presented. We employ a spectral representation in terms of both Fourier series…

计算物理 · 物理学 2015-05-30 Dag Lindbo , Anna-Karin Tornberg

The theoretical investigations on electrorheological (ER) fluids are usually concentrated on monodisperse systems. Real ER fluids must be polydisperse in nature, i.e., the suspended particles can have various sizes and/or different…

软凝聚态物质 · 物理学 2007-05-23 Andrew C. T. Wong , Hua Sun , K. W. Yu
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