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A fast and spectrally accurate Ewald summation method for the evaluation of stokeslet, stresslet and rotlet potentials of three-dimensional Stokes flow is presented. This work extends the previously developed Spectral Ewald method for…

Numerical Analysis · Mathematics 2024-08-06 Joar Bagge , Anna-Karin Tornberg

A highly accurate method for simulating surfactant-covered droplets in two-dimensional Stokes flow with solid boundaries is presented. The method handles both periodic channel flows of arbitrary shape and stationary solid constrictions. A…

Numerical Analysis · Mathematics 2020-12-02 Sara Pålsson , Anna-Karin Tornberg

Describing the interactions of water molecules is one of the most common, yet critical, tasks in molecular dynamics simulations. Because of its unique properties, hundreds of attempts have been made to construct an ideal interaction…

Chemical Physics · Physics 2025-06-23 Bálint Soczó , Ildikó Pethes

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…

Numerical Analysis · Mathematics 2023-12-04 Xinyang Lua , M. C. van Beurdenb , Qingbiao Wua

The Infrared Spectrum is used as an experimental data target, to improved the TIP4P/$\epsilon$, adding harmonic potential U(r) in all bonds and harmonic potential U({\theta}) in the angle formed by the hydrogens and oxygen atoms of the…

Chemical Physics · Physics 2020-12-10 Raúl Fuentes-Azcatl

We define the dielectric constant (susceptibility) that should enter the Maxwell boundary value problem when applied to microscopic dielectric interfaces. The dielectric constant (susceptibility) of the interface is defined by exact…

Soft Condensed Matter · Physics 2016-08-03 Mohammadhasan Dinpajooh , Dmitry V. Matyushov

Simulation results are presented to demonstrate electron temperature and electrical potential development in dilute and cold plasma development. The simulation method is a hybrid method which adopted fluid model for electrons due to their…

Plasma Physics · Physics 2024-09-13 Shiying Cai , Chunpei Cai , Zhen Zhang

A systematic investigation on vapor-liquid equilibria (VLE) of dipolar and quadrupolar fluids is carried out by molecular simulation to develop a new Helmholtz energy contribution for equations of state (EOS). Twelve two-center…

Chemical Physics · Physics 2009-04-30 Jadran Vrabec , J. Gross

The melting point of ice Ih, as well as the temperature of maximum density (TMD) in the liquid phase, has been computed using the path integral Monte Carlo method. Two new models are introduced; TIP4PQ_D2O and TIP4PQ_T2O which are…

Statistical Mechanics · Physics 2017-08-23 Carl McBride , Juan L. Aragones , Eva G. Noya , Carlos Vega

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…

Soft Condensed Matter · Physics 2022-03-21 Amin Bakhshandeh , Yan Levin

We critically examine a broad class of explicitly polarisable soft solvent models aimed at applications in dissipative particle dynamics. We obtain the dielectric permittivity using the fluctuating box dipole method in linear response…

Soft Condensed Matter · Physics 2025-11-03 Silvia Chiacchiera , Patrick B. Warren , Andrew J. Masters , Michael A. Seaton

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…

Computational Engineering, Finance, and Science · Computer Science 2019-11-15 Sara Pålsson , Anna-Karin Tornberg

An iterative method for calculating the polar component of the solvation Gibbs energy under a smooth change in dielectric permittivity, both between a substrate and a solvent and in a solvent is formulated on the basis of a previously…

Chemical Physics · Physics 2011-11-28 F. V. Grigoriev , Oleg Kupervasser , I. P. Kikot'

Particle number fluctuations are considered within the van der Waals (VDW) equation, which contains both attractive (mean-field) and repulsive (eigenvolume) interactions. The VDW equation is used to calculate the scaled variance of particle…

Nuclear Theory · Physics 2016-10-05 V. Vovchenko , D. V. Anchishkin , M. I. Gorenstein , R. V. Poberezhnyuk , H. Stoecker

Massively-parallel molecular dynamics simulation is applied to systems containing electrolytes, vapour-liquid interfaces, and biomolecules in contact with water-oil interfaces. Novel molecular models of alkali halide salts are presented and…

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…

Mathematical Physics · Physics 2015-05-19 Bruce N. Miller , Jean-Louis Rouet

The application of a temperature gradient to an extended system generates an electromotive force that induces an electric current in conductors and a macroscopic polarization in insulators. The ratio of the electromotive force to the…

Materials Science · Physics 2024-02-01 Enrico Drigo , Stefano Baroni

An exact integral formula for the Kirkwood correlation factor of isotropic polar fluids $g_K$ is derived from the equilibrium averaged rotational Dean equation, which as compared to previous approaches easily lends itself to further…

Fast Ewald summation efficiently evaluates Coulomb interactions and is widely used in molecular dynamics simulations. It is based on a split into a short-range and a long-range part, where evaluation of the latter is accelerated using the…

Numerical Analysis · Mathematics 2026-04-20 Erik Boström , Anna-Karin Tornberg , Ludvig af Klinteberg

A crucial aspect in the simulation of electrochemical interfaces consists in treating the distribution of electronic charge of electrode materials that are put in contact with an electrolyte solution. Recently, it has been shown how a…

Materials Science · Physics 2024-07-16 Andrea Grisafi , Mathieu Salanne