title: Thomson rings in a disk.
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.
authors: Department of Theory of Structure of Matter, Institute of Nuclear Physics PAN, 31-342 Cracow, Poland.
authors: M
authors: M
authors: Cerkaski
authors: Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.|Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia.
authors: R G
authors: RG
authors: Nazmitdinov
authors: Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors: A
authors: A
authors: Puente