Research Report A43: Minimum-Energy Point Charge Configurations on a Circular Disk

Author: Kari J. Nurmela

Date: February 1997

Pages: 20

Stochastic global optimization methods are used to find configurations of n point charges on a circular disk such that the potential energy is minimized. Previously such optimal or conjecturally optimal configurations have been published for n <= 23 and n = 29, 30, 50. In this work configurations for n <= 80 are presented.

Note: ref. [46] (Neil Sloane's home page) has moved after writing the report. The correct address is currently http://www.research.att.com/~njas/.

Keywords: point charge configurations, potential energy minimization


Full report in Postscript