Point vortex equilibria and optimal packings of circles on a sphere

DOI10.1098/rspa.2010.0368zbMath1219.76009OpenAlexW2133690336MaRDI QIDQ3090306

Takashi Sakajo, Paul K. Newton

Publication date: 28 August 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/48802

zbMATH Keywords

singular value decompositionicosahedral symmetryShannon entropyTammes problempoint vortex equilibria

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Measures of information, entropy (94A17) General biology and biomathematics (92B05) Circle packings and discrete conformal geometry (52C26)

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Cites Work

• A Mathematical Theory of Communication
• Finite point-sets on S 2 with minimum distance as large as possible
• Vortex Lattice Theory: A Particle Interaction Perspective
• Universally optimal distribution of points on spheres
• The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
• Point vortex equilibria on the sphere via Brownian ratchets
• Point configurations that are asymmetric yet balanced
• The closest packing of equal circles on a sphere
• Equilibrium configurations of particles on a sphere: the case of logarithmic interactions

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