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Crystalline particle packings on a sphere with long-range power-law potentials

Crystalline particle packings on a sphere with long-range power-law potentials

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^gamma (0 < \gamma < …