Kari J Nurmela 1998 J. Phys. A: Math. Gen. 31 1035 doi:10.1088/0305-4470/31/3/014
Minimum-energy point charge configurations on a circular disk
Kari J Nurmela
Show affiliationsStochastic global optimization methods are used together with problem-specific heuristics to find configurations of n equal point charges on a circular disk such that the potential energy is minimized. Previous such optimal or conjecturally optimal configurations have been published only for 
and n = 29,30,50. Earlier results are examined and the best currently known configurations - most of them new - for 
are presented.
- PACS
- MSC
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60G20 Generalized stochastic processes
65K10 Optimization and variational techniques (See also 49Mxx, 93B40)
- Subjects
- Dates
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Issue 3 (23 January 1998)
Received 11 April 1997, in final form 26 September 1997
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Minimum-energy point charge configurations on a circular disk
Kari J Nurmela 1998 J. Phys. A: Math. Gen. 31 1035
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