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Updated: Apr 15, 2026

Applying X-ray Imaging Crystal Spectroscopy for Use as a High Temperature Plasma Diagnostic
Published on: August 25, 2016
Thomson rings in a disk
M Cerkaski1, R G Nazmitdinov2,3, A Puente2
1Department of Theory of Structure of Matter, Institute of Nuclear Physics PAN, 31-342 Cracow, Poland.
Abstract:
We discuss the basic principles of self-organization of a finite number of charged particles interacting via the 1/r Coulomb potential in disk geometry. The analysis 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 high accuracy the equilibrium configurations of a few hundred charged particles. For n≳200, we predict the formation of a hexagonal core and valence circular rings for the centered configurations.
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