Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces
Other Condensed Matter
2009-11-11 v1 Soft Condensed Matter
Computational Physics
Abstract
A method is given to obtain closed form formulas for the energy and forces for an aggregate of charges interacting via a logarithmic interaction under periodic boundary conditions. The work done here is a generalization of Glasser's results [M. L. Glasser, J. Math. Phys. 15, 188 (1974)] and is obtained with a different and simpler method than that by Stremler [M. A. Stremler, J. Math. Phys. 45, 3584 (2004)]. The simplicity of the formulas derived here makes them extremely convenient in a computer simulation.
Keywords
Cite
@article{arxiv.cond-mat/0505686,
title = {Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces},
author = {Sandeep Tyagi},
journal= {arXiv preprint arXiv:cond-mat/0505686},
year = {2009}
}