3 papers
cond-mat.stat-mech2026
Lowest-known Energy Configuration of Coulomb Charges in a Disk: Breaking the Barrier
Georgiy K. Lavrov, Eduard G. Nikonov
We report the first calculation of the lowest-known energy configuration for classical point charges confined to a disk and interacting via the Coulomb potential…
cond-mat.stat-mech2026
Global Minima of the Thomson Problem in a Disk: A Molecular Dynamics Approach with Fixed Border Charges
Georgiy K. Lavrov, Eduard G. Nikonov
We report improved global-minimum configurations for the classical Thomson problem of , , , and repulsive Coulomb charges confined to a disk. By combining the qu…
cond-mat.stat-mech2026
Shannon Entropy as an Order Parameter for the Two-Dimensional Confined Coulomb Systems: Exact Balance Law, Topological Charge Sum Rule, and Boundary Saturation
Goergiy K. Lavrov, Georgiy K. Lavrov, Eduard G. Nikonov
We establish a complete information-theoretic framework for the known minimum-energy configurations of the two-dimensional Thomson problem on a hard-wall disk, based on the Shannon…