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Global Minima of the Thomson Problem in a Disk: A Molecular Dynamics Approach with Fixed Border Charges
classical-physicscomputational-physicsmathematical-physicsoptimization-and-controlstatistical-mechanics
We report improved global-minimum configurations for the classical Thomson problem of $N=60$, $61$, $92$, and $99$ repulsive Coulomb charges confined to a disk. By combining the quenched molecular dynamics (QMD) method with the fixed-border heuristic introduced by Amore and Zarate, we systematically
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