Lekner Summation of Long Range Interactions in Periodic Systems-Reference-Cited by-同舟云学术

Lekner Summation of Long Range Interactions in Periodic Systems

Published:1997-12 Issue:06 Volume:08 Page:1287-1297
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Grønbech-Jensen Niels¹²

Affiliation:

1. Department of Physics, University of California, Los Angeles, California 90024, USA

2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Abstract

We present a complete set of practical expressions for fast and accurate evaluation of Coulomb interactions, forces and energies, in any rectangular periodic medium. This analysis also includes explicit expressions for energy constants and self-energies of charged particles in periodic lattices. Energy constants and self-energies are further evaluated for logarithmic interactions in two-dimensional rectangular systems with periodic boundary conditions. The expressions are optimized for computational speed and tested by direct numerical implementation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183197001144

Reference12 articles.

1. Die Berechnung optischer und elektrostatischer Gitterpotentiale

2. Simulation of electrostatic systems in periodic boundary conditions. I. Lattice sums and dielectric constants

3. The numerical accuracy of truncated Ewald sums for periodic systems with long-range Coulomb interactions

4. On the energy per particle in three- and two-dimensional Wigner lattices

5. Summation of Coulomb fields in computer-simulated disordered systems

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