Volume 71, Number 1, July 2005
|Page(s)||84 - 90|
|Section||Condensed matter: structural, mechanical and thermal properties|
|Published online||08 June 2005|
Electromagnetic instability of the Thomson problem
Departamento de Física, Universidade Federal de São Carlos Rod. Washington Luiz km 235, 13565-905, Caixa Postal 676, São Carlos, SP, Brazil
2 Departamento de Matemática, Universidade Federal de São Carlos Rod. Washington Luiz km 235, 13565-905, Caixa Postal 676, São Carlos, SP, Brazil
3 Instituto de Física, Universidade Federal do Rio Grande do Sul Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS, Brazil
Accepted: 10 May 2005
The classical Thomson problem of n charged particles confined to the surface of a sphere of radius a is analyzed within the Darwin approximation of electrodynamics. For , the ground state corresponds to a hexagonal Wigner crystal with a number of topological defects. However, if the Wigner lattice is unstable with respect to small perturbations and the ground state becomes spontaneously magnetized for finite n.
PACS: 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 71.10.-w – Theories and models of many-electron systems
© EDP Sciences, 2005
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