# The Structure of Metastable States in The Thomson Problem

@article{Bondarenko2015TheSO, title={The Structure of Metastable States in The Thomson Problem}, author={Anatoly N. Bondarenko and Mikhail Karchevskiy and Leonid Kozinkin}, journal={Journal of Physics: Conference Series}, year={2015}, volume={643} }

A practical numerical method for the effective solution of the Thomson Problem is proposed. The developed iterative algorithm allows to conduct theoretical researches such as study of the number of asymptotic solutions depending on the particle count. Metastable states of charged point systems on a unit sphere were considered and the probability of falling into the basin of each state was obtained. Founded upon the algorithm and dual lattice representation approach, the framework for rapid…

## 2 Citations

Stable Configurations of Charged Sedimenting Particles.

- PhysicsPhysical review letters
- 2018

It is shown by example that two charged particles settling in a fluid may have a configuration that is asymptotically stable to perturbations for a wide range of charges, radii, and densities.

Nearly uniform sampling of crystal orientations

- PhysicsJournal of Applied Crystallography
- 2018

A method is presented for generating nearly uniform distributions of three-dimensional orientations in the presence of symmetry. The method is based on the Thomson problem, which consists in finding…

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