Minimum-energy distribution of point charges confined to a square

Hüseyin Oymak and Abdulwahhab Alkuwafi
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Hüseyin Oymak: Department of Physics, Graduate School of Natural and Applied Sciences, Atilim University, 06836 Ankara, Turkey
Abdulwahhab Alkuwafi: Department of Physics, Graduate School of Natural and Applied Sciences, Atilim University, 06836 Ankara, Turkey†Department of Physics, Faculty of Science, Omar Al-Mukhtar University, Al Bayda, Libya

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 05, 1-27

Abstract: The minimum-energy configurations of N(2≤N≤160) identical classical point charges confined within a square under the effect of a Coulombic 1∕r potential have been determined by performing steepest-descent simulations. The energies of the final optimized configurations are given, along with their corresponding structural charge distributions. When all systems evolve in time to reach a minimum-energy configuration, local or global, they are all seen to be in quest of symmetry.

Keywords: Coulombic interaction; charge distribution; numerical optimization; square (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500360

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