Energetics and stability of discrete charge distribution on the surface of a sphere

Date

2001-02-01

Author

Oymak, H
Erkoç, Şakir

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We have investigated the minimum-energy distribution of N, 3 ≤ N ≤ 97, equal point charges confined to the surface of a sphere. Charges interact with each other via the Coulomb potential of the form 1/r. Minimum-energy distributions have been determined by minimizing the tangential forces on each charge. Further numerical evidence shows that in the minimum-energy state of N charges on the sphere, it is not possible to place a charge at the geometrical center. Besides, it has been found that the most and reliable information about the relative stability properties of the distributions can be obtained with the help of second difference energy consideration.

Subject Keywords

Mathematical Physics, Computational Theory and Mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Computer Science Applications

URI

https://hdl.handle.net/11511/52114

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS C

DOI

https://doi.org/10.1142/s0129183101001699

Collections

Department of Physics, Article

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Citation Formats

H. Oymak and Ş. Erkoç, “Energetics and stability of discrete charge distribution on the surface of a sphere,” INTERNATIONAL JOURNAL OF MODERN PHYSICS C, pp. 293–305, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52114.