Ewald method for polytropic potentials in arbitrary dimensionality
Abstract
The Ewald summation technique is generalised to power-law 1/|r|^k potentials in three-, two- and one-dimensional geometries with explicit formulae for all the components of the sums. The cases of short-range, long-range and "marginal" interactions are treated separately. The jellium model, as a particular case of a charge-neutral system, is discussed and the explicit forms of the Ewald sums for such system are presented. A generalised form of the Ewald sums for a noncubic (nonsquare) simulation cell for three- (two-) dimensional geometry is obtained and its possible field of application is discussed. A procedure for the optimisation of the involved parameters in actual simulations is developed and an example of its application is presented.
Cite
@article{arxiv.1107.5435,
title = {Ewald method for polytropic potentials in arbitrary dimensionality},
author = {O. N. Osychenko and G. E. Astrakharchik and J. Boronat},
journal= {arXiv preprint arXiv:1107.5435},
year = {2014}
}
Comments
41 pages, 3 figures