Minimum-Energy Point Charge Configurations on a Circular Disk

Reference:

Kari J. Nurmela. Minimum-energy point charge configurations on a circular disk. Research Report A43, Helsinki University of Technology, Digital Systems Laboratory, Espoo, Finland, February 1997.

Abstract:

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.

Keywords:

point charge configurations, potential energy minimization

Suggested BibTeX entry:

@techreport{HUT-TCS-A43,
    address = {Espoo, Finland},
    author = {Kari J. Nurmela},
    institution = {Helsinki University of Technology, Digital Systems Laboratory},
    month = {February},
    number = {A43},
    title = {Minimum-Energy Point Charge Configurations on a Circular Disk},
    type = {Research Report},
    year = {1997},
}