Work

Thomson rings in a disk

Year: 2015
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W1986103856
FWCI: 0.845
Cites: 25
Cited by: 19
Related to: 10