%0 Journal Article 
%A Altschuler, Eric Lewin
%A Pérez Garrido, Antonio
%T Defect free global minima in Thomson’s problem of charges on a sphere
%D 2006
%@ 1550-2376
%U http://arxiv.org/abs/cond-mat/0509501
%U http://hdl.handle.net/10317/584
%X Given N unit points charges on the surface of a unit conducting sphere, what configuration of charges minimizes the Coulombic energy PN
i>j=1 1/rij? Due to an exponential rise in good local minima, finding global minima for this problem, or even approaches to do so has proven extremely difficult. For N = 10(h2 + hk + k2) + 2 recent theoretical work based on elasticity theory, and subsequent numerical work has shown, that for N  > 500–1000 adding dislocation defects to a symmetric icosadeltahedral lattice lowers the energy. Here we show that in fact this approach holds
for all N, and we give a complete or near complete catalogue of defect free global minima.
%K Física Aplicada
%K Problema de Thomson
%K Esferas
%K Teoría de la elasticidad
%K Teoría de Dodgson y  Moore
%~ GOEDOC, SUB GOETTINGEN