A Monte Carlo algorithm for free and coaxial ring extremal states of the vortex \(N\)-body problem on a sphere
type: Item
instance of: scholarly article
title: A Monte Carlo algorithm for free and coaxial ring extremal states of the vortex \(N\)-body problem on a sphere
zbMATH Open document ID: 1031.82025
DOI: 10.1016/S0378-4371(03)00528-4
author: Chjan C. Lim
author: Joseph Nebus
author: Syed M. Assad
published in: Physica A
publication date: 2003-09-28T00:00:00Z
Mathematics Subject Classification ID: 82B80
zbMATH DE Number: 1986425
zbMATH Keywords: statistical equilibria
zbMATH Keywords: radial distribution function
zbMATH Keywords: computational cost reduction
Wikidata QID: Q62606047
MaRDI profile type: Publication
cites work: Hecke operators and distributing points on the sphere I
cites work: Relative equilibria of point vortices on the sphere
cites work: Singularities and groups in bifurcation theory. Volume II
cites work: Relative equilibria of symmetricn-body problems on a sphere: Inverse and direct results
cites work: The \(N\)-vortex problem. Analytical techniques
cites work: Equilibrium configurations of particles on a sphere: the case of logarithmic interactions
cites work: Q5465843
cites work: Distributing many points on a sphere
cites work: Q5729657
cites work: Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere
cites work: Monte-Carlo and polyhedron-based simulations. I: Extremal states of the logarithmic \(N\)-body problem on a sphere
cites work: Streamline topologies for integrable vortex motion on a sphere
cites work: KAM theory analysis of the dynamics of three coaxial vortex rings
full work available at URL: s0378-4371(03)00528-4
OpenAlex ID: W2003690694
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description: scientific article; zbMATH DE number 1986425