Structure and dynamics of spherical crystals characterized for the Thomson problem

  title={Structure and dynamics of spherical crystals characterized for the Thomson problem},
  author={David J. Wales and Sidika Ulker},
  journal={Physical Review B},
Candidates for global minima of the Thomson problem for N charges on a sphere are located for N 400 and selected sizes up to N=972. These results supersede many of the lowest minima located in previous work, with particularly large improvements for N 400. Our analysis reveals interesting topological defects, which are likely to play an important role in determining the mechanical and electrical properties of systems confined to a spherical geometry. We also find low-energy rearrangements for… 

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