Thomson problem in one dimension: minimal energy configurations of \(N\) charges on a curve

DOI10.1016/J.PHYSA.2018.12.040OpenAlexW2895340972MaRDI QIDQ2154395

Martin Jacobo, Paolo Amore

Publication date: 19 July 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03230

zbMATH Keywords

electrostaticsnumerical optimizationThomson problem

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Computing the solutions of the van der Pol equation to arbitrary precision

Cites Work

• Unnamed Item
• Distributing many points on a sphere
• Generalized Thomson problem in arbitrary dimensions and non-Euclidean geometries
• Newton algorithm on constraint manifolds and the 5-electron Thomson problem
• Estimating the number of stable configurations for the generalized Thomson problem
• Lower Order Terms of the Discrete Minimal Riesz Energy on Smooth Closed Curves
• Snub polyhedra and organic growth
• Asymptotics for minimal discrete energy on the sphere
• Minimum-energy point charge configurations on a circular disk
• Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝ^d

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