title: MMM1D: a method for calculating electrostatic interactions in one-dimensional periodic geometries.
abstract: We present a new method to accurately calculate the electrostatic energy and forces on charges in a system with periodic boundary conditions in one of three spatial dimensions. We transform the Coulomb sum via a convergence factor into a series of fast decaying functions similar to the Lekner method. Rigorous error bounds for the energies and the forces are derived and numerically verified. The method has a computational complexity of O(N(2)), but is faster and easier to use than previously reported methods.
authors.affiliation: Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany. arnolda@mpip-mainz.mpag.de
authors.forename: Axel
authors.initials: A
authors.lastname: Arnold
authors.forename: Christian
authors.initials: C
authors.lastname: Holm