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We extend the program potfit, which generates effective atomic interaction potentials from ab initio data, to electrostatic interactions and induced dipoles. The potential parametrization algorithm uses the Wolf direct, pairwise summation…

Materials Science · Physics 2011-12-30 Philipp Beck , Peter Brommer , Johannes Roth , Hans-Rainer Trebin

We present an effective atomic interaction potential for crystalline alpha-Al2O3 generated by the program potfit. The Wolf direct, pairwise summation method with spherical truncation is used for electrostatic interactions. The…

Materials Science · Physics 2015-03-19 Stephen Hocker , Philipp Beck , Siegfried Schmauder , Johannes Roth , Hans-Rainer Trebin

We show that finite-range alternatives to the standard long-range BKS pair potential for silica might be used in molecular dynamics simulations. We study two such models that can be efficiently simulated since no Ewald summation is…

Statistical Mechanics · Physics 2009-11-13 Antoine Carré , Ludovic Berthier , Juergen Horbach , Simona Ispas , Walter Kob

Using non-equilibrium molecular dynamics simulations, it has been recently demonstrated that water molecules align in response to an imposed temperature gradient, resulting in an effective electric field. Here, we investigate how thermally…

Computational Physics · Physics 2016-08-09 Peter Wirnsberger , Domagoj Fijan , Anđela Šarić , Martin Neumann , Christoph Dellago , Daan Frenkel

This paper compares the Wolf method to the shifted forces (SF) method for efficient computer simulation of isotropic systems interacting via Coulomb forces, taking results from the Ewald summation method as representing the true behavior.…

Mesoscale and Nanoscale Physics · Physics 2012-12-19 Jesper S. Hansen , Thomas B. Schrøder , Jeppe C. Dyre

A rigorous proof for convergence of the Wolf method for calculating electrostatic energy of a periodic lattice is presented. In particular, we show that for an arbitrary lattice of unit cells, the lattice sum obtained via Wolf method…

Mathematical Physics · Physics 2015-05-27 Arzhang Angoshtari , Arash Yavari

We suggest a time-effective algorithm to calculate tight focusing of a collimated continuous-wave laser beam with an arbitrary cross-section light vector distribution by a high-aperture microscope objective into a planar microcavity. This…

Optics · Physics 2023-08-09 Stepan Boichenko

A class of radial, polynomial cutoff functions $f_{\textrm{c}n}(r)$ for short-ranged pair potentials or related expressions is proposed. Their derivatives up to order $n$ and $n+1$ vanish at the outer cutoff $r_\textrm{c}$ and an inner…

Materials Science · Physics 2022-04-29 Martin H. Müser

We present a novel method to interpolate smoke and liquid simulations in order to perform data-driven fluid simulations. Our approach calculates a dense space-time deformation using grid-based signed-distance functions of the inputs. A key…

Graphics · Computer Science 2017-04-05 Nils Thuerey

The spark plasma sintering (SPS) process, a key technology for advanced material manufacturing, demands accurate and efficient simulation tools to capture the complex electro-thermal-mechanical interactions inherent in powder materials.…

Computational Physics · Physics 2024-12-03 A. Kumar , Z. Zhang , M. Bambach , M. Afrasiabi

We address the efficient computation of power-law-based interaction potentials of homogeneous $d$-dimensional bodies with an infinite $n$-dimensional array of copies, including their higher-order derivatives. This problem forms a serious…

Numerical Analysis · Mathematics 2026-04-16 Andreas A. Buchheit , Jonathan K. Busse , Torsten Keßler , Filipp N. Rybakov

We present a path-integral Monte Carlo estimator for calculating the dipole polarizability of interacting Coulomb plasma in the long-wavelength limit, i.e., the optical region. We present comprehensive details and method validation studies…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 Juha Tiihonen , David Trejo-Garcia , Tapio T. Rantala , Marco Ornigotti

We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta…

Fluid Dynamics · Physics 2018-09-24 Markus Uhlmann

Ewald summation is an important technique used to deal with long-range Coulomb interaction. While it is widely used in simulations of molecules and solid state materials, many important results are dispersed in literature and their…

Materials Science · Physics 2021-05-26 D. Wang , J. Liu , J. Zhang , S. Raza , X. Chen , C. -L. Jia

We report an extension of the smoothed profile method (SPM)[Y. Nakayama, K. Kim, and R. Yamamoto, Eur. Phys. J. E {\bf 26}, 361(2008)], a direct numerical simulation method for calculating the complex modulus of the dispersion of particles,…

Soft Condensed Matter · Physics 2012-11-22 T. Iwashita , T. Kumagai , R. Yamamoto

We apply the method of direct perturbation theory for the Foldy-Wouthuysen (FW) transformation upon the Dirac-Pauli Hamiltonian subject to external electromagnetic fields. The exact FW transformations exist and agree with those obtained by…

Quantum Physics · Physics 2016-11-22 Dah-Wei Chiou , Tsung-Wei Chen

We derive a Cooper-Frye type spin polarization formula for Dirac fermions at local thermal equilibrium described by a grand canonical ensemble specified by temperature, fluid velocity, chemical potential, and spin potential. We discuss the…

Nuclear Theory · Physics 2022-06-06 Yu-Chen Liu , Xu-Guang Huang

The most difficult aspect of the realistic modeling of granular materials is how to capture the real shape of the particles. Here we present a method to simulate granular materials with complex-shaped particles. The particle shape is…

Materials Science · Physics 2008-04-18 F. Alonso-Marroquin , Yucang Wang

A modified 3D-Ewald summation is presented for accurately simulating the ion-dipole mixture under dielectric confinement. The method is based on the combination of image charges and image dipoles with the conventional Ewald summation and…

Soft Condensed Matter · Physics 2019-10-10 Jiaxing Yuan

A second-order-accurate finite volume method, hybridized by blending an extended double-flux algorithm and a traditionally conservative scheme, is developed. In this scheme, hybrid convective fluxes as well as hybrid interpolation…

Computational Physics · Physics 2024-11-21 Yuqi Wang , Ralf Deiterding , Jianhan Liang
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