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The electrostatic potential and energy of point charges in a real crystal, in the presence of thermal vibrations, is obtained as a special case of the Fourier method. Incorporating the role of thermal vibrations in electrostatic energy…

Materials Science · Physics 2012-01-31 T. R. S. Prasanna

An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels. The differential equations are recast as integral equations using Green's 3rd identity…

Numerical Analysis · Mathematics 2023-04-11 Zhen Chao , Weihua Geng , Robert Krasny

Using multiple ion beam analysis measurements, or techniques, combined with self-consistent data processing, generally allows extracting more (or more accurate) information from the measurements than processing separately data from single…

Data Analysis, Statistics and Probability · Physics 2022-11-23 Tiago F. Silva , Cleber L. Rodrigues , Manfredo H. Tabacniks , Udo von Toussaint , Matej Mayer

The previously applied independent atom model (IAM) for highly charged ion-molecule collisions which implemented the suppression of multiple ionization and capture on the basis of geometric overlaps of cross-sectional areas representing…

Atomic Physics · Physics 2025-09-15 Hans Jürgen Lüdde , Marko Horbatsch , Tom Kirchner

Quantum simulation - the use of one quantum system to simulate a less controllable one - may provide an understanding of the many quantum systems which cannot be modeled using classical computers. Impressive progress on control and…

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 ion distribution around charged colloids in solution has been investigated intensely during the last decade. However, few theoretical approaches have included the influence of variation in the dielectric permittivity within the system,…

Soft Condensed Matter · Physics 2015-06-18 Florian Fahrenberger , Zhenli Xu , Christian Holm

The hydration free energies of ions exhibit an approximately quadratic dependence on the ionic charge, as predicted by the Born model. We analyze this behavior using second-order perturbation theory. This provides effective methods to…

chem-ph · Physics 2008-02-03 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia

We consider diffusion of particles on a lattice in the so-called dynamical mean-field regime (memory effects are neglected). Interactions are local, that is, only among particles at the same lattice site. It is shown that a statistical…

Statistical Mechanics · Physics 2021-12-03 Matías A. Di Muro , Miguel Hoyuelos

Artifacts arise in the simulations of electrolytes using periodic boundary conditions (PBC). We show the origin of these artifacts are the periodic image charges and the constraint of charge neutrality inside the simulation box, both of…

Soft Condensed Matter · Physics 2015-09-30 Yihao Liang , Zhenli Xu , Xiangjun Xing

Molecular dynamics simulations at a constant electric potential are an essential tool to study electrochemical processes, providing microscopic information on the structural, thermodynamic, and dynamical properties. Despite the numerous…

We present a method to facilitate Monte Carlo simulations in the grand canonical ensemble given a target mean particle number. The method imposes a fictitious dynamics on the chemical potential, to be run concurrently with the Monte Carlo…

Statistical Mechanics · Physics 2022-04-27 Cole Miles , Benjamin Cohen-Stead , Owen Bradley , Steven Johnston , Richard Scalettar , Kipton Barros

We present a simple modification of the direct-forcing immersed boundary method (IBM) proposed by Uhlmann [J. Comput. Phys, 2005] in order to enable it to be applied to particulate flows with solid-to-fluid density ratios around unity. The…

Fluid Dynamics · Physics 2023-06-21 Manuel Garcia-Villalba , Blanca Fuentes , Jan Dusek , Manuel Moriche , Markus Uhlmann

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…

Chemical Physics · Physics 2009-10-31 Gerhard Hummer , Niels Grønbech-Jensen , Martin Neumann

Two-dimensional ionic liquids with single site anion and cation-neutral dimer are studied by computer simulations and integral equation techniques, with the aim of characterizing differences with single site anion-cation mixtures, and also…

Chemical Physics · Physics 2018-10-17 Perera Aurélien , Urbic Tomaz

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…

Mathematical Physics · Physics 2014-04-15 Anna-Karin Tornberg

We study a model of dyons for SU(2) Yang-Mills theory at finite temperature T < T_c, in particular its ability to generate a confining force between a static quark antiquark pair. The interaction between dyons corresponds to a long-range…

High Energy Physics - Phenomenology · Physics 2022-09-21 Benjamin Maier , Falk Bruckmann , Simon Dinter , Ernst-Michael Ilgenfritz , Michael Muller-Preussker , Marc Wagner

A simple and efficient method for quantum Monte Carlo simulation is presented, based on discretization of the action in the path integral, and a Gaussian averaging of the potential, which works well e.g. with the Coulomb potential.

Computational Physics · Physics 2007-05-23 Jan Myrheim

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

Within the reweighting approach, one has the freedom to choose the Monte Carlo action so that it provides a good overlap with the finite-\mu measure but remains simple to simulate. We explore several choices of action in the regime of small…

High Energy Physics - Lattice · Physics 2009-11-07 Ph. de Forcrand , S. Kim , T. Takaishi