Symmetric patterns of dislocations in Thomson's problem

Details Symmetric patterns of dislocations in Thomson's problem Symmetric patterns of dislocations in Thomson's problem

1999-05-14

arxiv.org/abs/cond-mat/9905217v1

Phys. Rev. B, Vol. 60, 15628 (1999)

Physics

Condensed Matter

7 figures

Scientific paper

10.1103/PhysRevB.60.15628

Determination of the classical ground state arrangement of $N$ charges on the surface of a sphere (Thomson's problem) is a challenging numerical task. For special values of $N$ we have obtained using the ring removal method of Toomre, low energy states in Thomson's problem which have icosahedral symmetry where lines of dislocations run between the 12 disclinations which are induced by the spherical geometry into the near triangular lattice which forms on a local scale.

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