Comment on "Thomson rings in a disk"

We have found that the minimum energy configuration of N=395 charges confined in a disk and interacting via the Coulomb potential, reported by Cerkaski et al. [Phys. Rev. E 91, 032312 (2015)PLEEE81539-375510.1103/PhysRevE.91.032312], is not a global minimum of the total electrostatic energy. We have...

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Published in:Physical review. E 2017-02, Vol.95 (2-2), p.026601-026601, Article 026601
Main Author: Amore, Paolo
Format: Article
Language:English
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Summary:We have found that the minimum energy configuration of N=395 charges confined in a disk and interacting via the Coulomb potential, reported by Cerkaski et al. [Phys. Rev. E 91, 032312 (2015)PLEEE81539-375510.1103/PhysRevE.91.032312], is not a global minimum of the total electrostatic energy. We have identified a large number of configurations with lower energy, where defects are present close to the center of the disk; thus, the formation of a hexagonal core and valence circular rings for the centered configurations, predicted by the model of the above-mentioned reference, is not supported by numerical evidence, and the configurations obtained with this model cannot be used as a guide for the numerical calculations, as claimed by the authors.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.95.026601