Crystalline order on a sphere and the generalized Thomson problem.

@article{Bowick2002CrystallineOO,
  title={Crystalline order on a sphere and the generalized Thomson problem.},
  author={M. Bowick and A. Cacciuto and D. Nelson and A. Travesset},
  journal={Physical review letters},
  year={2002},
  volume={89 18},
  pages={
          185502
        }
}
We attack the generalized Thomson problem, i.e., determining the ground state energy and configuration of many particles interacting via an arbitrary repulsive pairwise potential on a sphere via a continuum mapping onto a universal long range interaction between angular disclination defects parametrized by the elastic (Young) modulus Y of the underlying lattice and the core energy E(core) of an isolated disclination. Predictions from the continuum theory for the ground state energy agree with… Expand

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