Crystalline Particle Packings on a Sphere with Long Range Power Law Potentials

@article{Bowick2006CrystallinePP,
  title={Crystalline Particle Packings on a Sphere with Long Range Power Law Potentials},
  author={M. Bowick and A. Cacciuto and D. Nelson and A. Travesset},
  journal={Physical Review B},
  year={2006},
  volume={73},
  pages={024115}
}
The original Thomson problem of “spherical crystallography” seeks the ground state of electron shells interacting via the Coulomb potential; however one can also study crystalline ground states of particles interacting with other potentials. We focus here on long range power law interactions of the form 1/r (0 < < 2), with the classic Thomson problem given by = 1. At large R/a, where R is the sphere radius and a is the particle spacing, the problem can be reformulated as a continuum elastic… Expand
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