ENERGETICS AND STABILITY OF DISCRETE CHARGE DISTRIBUTION ON THE SURFACE OF A SPHERE

Hüseyin Oymak and Şakir Erkoç ()
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Hüseyin Oymak: Department of Physics, Middle East Technical University, 06531 Ankara, Turkey
Şakir Erkoç: Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 02, 293-305

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.

Keywords: Charge Distribution; Conducting Disk; Coulombic Interaction; 41.20.Cv; 02.60.Pn (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001699

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