Electromagnetic instability of the Thomson Problem

Details Electromagnetic instability of the Thomson Problem Electromagnetic instability of the Thomson Problem

2005-06-23

arxiv.org/abs/cond-mat/0506616v1

Europhys. Lett. 71, 84 (2005)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 $nn_c(a)$ the Wigner lattice is unstable with respect to small perturbations and the ground state becomes spontaneously magnetized for finite $n$.

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