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Lowest-known Energy Configuration of $N=100\,000$ Coulomb Charges in a Disk: Breaking the $10^{5}$ Barrier

Lavrov, Georgiy K. et al.
arXiv (All) · Papers
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classical-physicscomputational-physicsmathematical-physicsoptimization-and-controlstatistical-mechanics
We report the first calculation of the lowest-known energy configuration for $N=100\,000$ classical point charges confined to a disk and interacting via the $1/r$ Coulomb potential - a system size never before achieved for the Thomson problem in a disk, more than doubling the previous record of $N=4
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