TY - JOUR 
A1 - Altschuler, Eric Lewin
AU - Pérez Garrido, Antonio
T1 - Defect free global minima in Thomson’s problem of charges on a sphere
Y1 - 2006
SN - 1550-2376
UR - http://arxiv.org/abs/cond-mat/0509501
UR - http://hdl.handle.net/10317/584
AB - 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.
KW - Física Aplicada
KW - Problema de Thomson
KW - Esferas
KW - Teoría de la elasticidad
KW - Teoría de Dodgson y  Moore
LA - eng
PB - American Physical Society
ER -