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On exact summations in long-range interactions

Sergio Curilef
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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.

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Sergio Curilef. 2004-03-29. On exact summations in long-range interactions. https://doi.org/10.1016/j.physa.2004.06.014

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