Generalized Thomson problem in arbitrary dimensions and non-Euclidean geometries

DOI10.1016/j.physa.2016.01.069zbMath1400.52017arXiv1312.1854OpenAlexW2146027264MaRDI QIDQ1619392

Josep Batle, Mahmoud Abdel-Aty, Armen G. Bagdasaryan, Soliman Abdalla

Publication date: 13 November 2018

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

Full work available at URL: https://arxiv.org/abs/1312.1854

zbMATH Keywords

non-Euclidean geometriesinfinite charge systemstructures and symmetry in higher euclidean dimensionsThomson model

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (2)

Thomson problem in one dimension: minimal energy configurations of \(N\) charges on a curve ⋮ Equilibrium charge distribution on a finite straight one-dimensional wire

Cites Work

• Optimization by Simulated Annealing
• Distributions of zeros of discrete and continuous polynomials from their recurrence relation
• On the Interaction of Electrons in Metals
• The Five-Electron Case of Thomson’s Problem
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