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arXiv · 1403.4878

Thomson rings in a disk

M. Cerkaski·R. G. Nazmitdinov·A. Puente
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Abstract

We discuss the basic principles of a self-organization of a finite number of charged particles interacting via the 1/r Coulomb potential in a disk geometry. Our approach is based on the cyclic symmetry and periodicity of the Coulomb interaction between particles located on several rings. As a result, a system of equations is derived, which allows us readily to determine with a high accuracy the equilibrium configurations of a few hundreds charged particles. For $n\gtrsim 200$ we predict the formation of a hexagonal core and valence circular rings for the centered configurations.

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M. Cerkaski, R. G. Nazmitdinov, A. Puente. 2014-03-19. Thomson rings in a disk. https://doi.org/10.1103/physreve.91.032312

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