Observed asymptotic differences in energies of stable and minimal point configurations on $\mathbb {S}^2$S2 and the role of defects

DOI10.1063/1.4826345zbMath1302.31003arXiv1307.0409OpenAlexW3101495990MaRDI QIDQ5410925

Matthew T. Calef, C. Fichtl, Alexia Schulz, Whitney Griffiths, Douglas P. Hardin

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0409

zbMATH Keywords

Thomson Problem

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (5)

Greedy energy minimization can count in binary: point charges and the van der Corput sequence ⋮ Optimal \(N\)-point configurations on the sphere: ``magic numbers and Smale's 7th problem ⋮ Well-distributed great circles on \(\mathbb S^2\) ⋮ Estimating the number of stable configurations for the generalized Thomson problem ⋮ Distributing many points on spheres: minimal energy and designs

Cites Work

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• Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds
• On the Riesz energy of measures.
• Minimal discrete energy on the sphere
• On the theory of potentials in locally compact spaces
• The Accuracy of Floating Point Summation
• The quickhull algorithm for convex hulls
• Asymptotics for minimal discrete energy on the sphere
• Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets
• The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
• A fast algorithm for particle simulations

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