Equilibrium configurations of N equal charges on a sphere
β Scribed by Erber, T; Hockney, G M
- Book ID
- 120886861
- Publisher
- Institute of Physics
- Year
- 1991
- Tongue
- English
- Weight
- 314 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0305-4470
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper evidence is presented that N charges allowed to distribute wtthin a sphere will reside on the surface and the mnnmum-energy states up to N=45 are given. The results vindicate classical electrostatics theory. \* (B) is not used in order to avoid confusion with Berezin's planar B.
The Coulomb energy of N equal charges placed in a circle is calculated. Contrary to the common belief, the configuration with the minimum energy does not always correspond to the symmetrical placement of all N charges on the circumference. This is true only for N < 11; for N > 11 the configuration w