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Energetics And Stability Of Discrete Charge Distribution On The Surface Of A Sphere

Author

Listed:
  • HÜSEYIN OYMAK

    (Department of Physics, Middle East Technical University, 06531 Ankara, Turkey)

  • ŞAKIR ERKOÇ

    (Department of Physics, Middle East Technical University, 06531 Ankara, Turkey)

Abstract

We have investigated the minimum-energy distribution ofN,3 ≤ N ≤ 97, equal point charges confined to the surface of a sphere. Charges interact with each other via the Coulomb potential of the form1/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 ofNcharges 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 ofsecond difference energyconsideration.

Suggested Citation

  • Hüseyin Oymak & Şakir Erkoç, 2001. "Energetics And Stability Of Discrete Charge Distribution On The Surface Of A Sphere," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 293-305.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:02:n:s0129183101001699
    DOI: 10.1142/S0129183101001699
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