On exact summations in long-range interactions
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
In this work, simple exact results are presented for summations in two-particle potential with long-range interactions. Polygamma function is used to evaluate summations. Results are found when a periodic media is consider. Periodic boundary conditions are applied by symmetric repetitions of a central cell. Contributions over all space are used in the problem. The potential depends strongly on the size of the system; however, forces are convergents anywhere.
Keywords
Cite
@article{arxiv.nlin/0403053,
title = {On exact summations in long-range interactions},
author = {Sergio Curilef},
journal= {arXiv preprint arXiv:nlin/0403053},
year = {2009}
}
Comments
7 pages, 1 figure. submitted to Physica A