Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2004-03-29
Physica A344 (2004) 456-461
Nonlinear Sciences
Exactly Solvable and Integrable Systems
7 pages, 1 figure. submitted to Physica A
Scientific paper
10.1016/j.physa.2004.06.014
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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