A Monte Carlo algorithm for free and coaxial ring extremal states of the vortex \(N\)-body problem on a sphere

DOI10.1016/S0378-4371(03)00528-4zbMath1031.82025OpenAlexW2003690694WikidataQ62606047 ScholiaQ62606047MaRDI QIDQ1408984

Syed M. Assad, Joseph Nebus, Chjan C. Lim

Publication date: 28 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0378-4371(03)00528-4

zbMATH Keywords

radial distribution functioncomputational cost reductionstatistical equilibria

Mathematics Subject Classification ID

Related Items

Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry

Cites Work

• Singularities and groups in bifurcation theory. Volume II
• Distributing many points on a sphere
• KAM theory analysis of the dynamics of three coaxial vortex rings
• Streamline topologies for integrable vortex motion on a sphere
• Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere
• Monte-Carlo and polyhedron-based simulations. I: Extremal states of the logarithmic \(N\)-body problem on a sphere
• Hecke operators and distributing points on the sphere I
• Relative equilibria of symmetricn-body problems on a sphere: Inverse and direct results
• Equilibrium configurations of particles on a sphere: the case of logarithmic interactions
• Relative equilibria of point vortices on the sphere
• The \(N\)-vortex problem. Analytical techniques
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