On exact summations in long-range interactions

Sergio Curilef

Physica A: Statistical Mechanics and its Applications, 2004, vol. 344, issue 3, 456-461

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 considered. 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: Periodic summations; Long-range interactions; Digamma function (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:344:y:2004:i:3:p:456-461

DOI: 10.1016/j.physa.2004.06.014

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