Packing of Softly Repulsive Particles in a Spherical Box —A Generalised Thomson Problem

Awduron Sefydliadau
Math Erthygl
Iaith wreiddiolSaesneg
Tudalennau (o-i)13-19
Nifer y tudalennau7
StatwsCyhoeddwyd - 2014
Cysylltiad parhaol
Arddangos ystadegau lawrlwytho
Gweld graff cysylltiadau
Fformatau enwi


We study the (near or close to) ground state distribution of N softly repelling particles trapped in the interior of a spherical box. The charges mutually interact via an inverse power law potential of the form 1/r γ. We study three regimes in which the charges form an single spherical shell at the edge of the box (γ = 1), a series of concentric shells of increasing density (γ = 2) and γ = 12 for which the charges form shells with a more uniform charge distribution. We conduct numerical simulations for clusters containing up to 5000 charges and compare charge density across the system with continuum limit results. The agreement between numerical (discrete) results and the continuum limit is found to improve with increasing N. These findings are accompanied by a visual gallery of some of the low energy ground states found by simulated annealing.