On exact summations in long-range interactions

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.

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Year of publication:	2004
Authors:	Curilef, Sergio
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 344.2004, 3, p. 456-461
Publisher:	Elsevier
Subject:	Periodic summations \| Long-range interactions \| Digamma function

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010589669