Thomson rings in a disk
Mesoscale and Nanoscale Physics
2015-03-25 v4 Chemical Physics
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 we predict the formation of a hexagonal core and valence circular rings for the centered configurations.
Keywords
Cite
@article{arxiv.1403.4878,
title = {Thomson rings in a disk},
author = {M. Cerkaski and R. G. Nazmitdinov and A. Puente},
journal= {arXiv preprint arXiv:1403.4878},
year = {2015}
}
Comments
13 pages, 3 figures, 1 table. Published version with a new figure and extended discussion