| Issue |
Europhys. Lett.
Volume 71, Number 1, July 2005
|
|
|---|---|---|
| Page(s) | 84 - 90 | |
| Section | Condensed matter: structural, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2004-10537-2 | |
| Published online | 08 June 2005 | |
Electromagnetic instability of the Thomson problem
1
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
Corresponding authors: deluca@df.ufscar.br savio@dm.ufscar.br levin@if.ufrgs.br
Received:
30
November
2004
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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