Self-organization of charged particles in circular geometry
Abstract
The basic principles of self-organization of one-component charged particles, confined in disk and circular parabolic potentials, are proposed. A system of equations is derived, that allows us to determine equilibrium configurations for an arbitrary, but finite, number of charged particles that are distributed over several rings. Our approach reduces significantly the computational effort in minimizing the energy of equilibrium configurations and demonstrates a remarkable agreement with the values provided by molecular dynamics calculations. With the increase of particle number n>180 we find a steady formation of a centered hexagonal lattice that smoothly transforms to valence circular rings in the ground state configurations for both potentials.
Keywords
Cite
@article{arxiv.1704.00347,
title = {Self-organization of charged particles in circular geometry},
author = {R. G. Nazmitdinov and A. Puente and M. Cerkaski and M. Pons},
journal= {arXiv preprint arXiv:1704.00347},
year = {2017}
}
Comments
18 pages, 5 figures, 7 tables