Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces

Details Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces

2005-05-30

arxiv.org/abs/cond-mat/0505686v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1080/00268970500358735

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.

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