Point vortex equilibria on the sphere via Brownian ratchets

DOI10.1098/rspa.2008.0203zbMath1186.76632OpenAlexW2110644373MaRDI QIDQ3561851

Takashi Sakajo, Paul K. Newton

Publication date: 19 May 2010

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

Full work available at URL: https://doi.org/10.1098/rspa.2008.0203

zbMATH Keywords

singular value decompositionShannon entropyBrownian ratchetspoint vortices on a spherethomson's problem

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Vortex flows for incompressible inviscid fluids (76B47) Measures of information, entropy (94A17)

Related Items (7)

Vortices on Closed Surfaces ⋮ Latitudinal point vortex rings on the spheroid ⋮ Equilibria and stability of four point vortices on a sphere ⋮ Energy-momentum stability of icosahedral configurations of point vortices on a sphere ⋮ Point vortex equilibria and optimal packings of circles on a sphere ⋮ Vortex crystals on the surface of a torus ⋮ Vortex–wave interaction on the surface of a sphere

Cites Work

• A Mathematical Theory of Communication
• A particle migrating randomly on a sphere
• Stability and bifurcations for the \(N+1\) vortex problem on the sphere
• Motion of three point vortices on a sphere
• Point vortices on the sphere: a case with opposite vorticities
• Random walk on a sphere and on a Riemannian manifold
• The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
• TheN-vortex problem on a rotating sphere. I Multi-frequency configurations
• Equilibrium configurations of particles on a sphere: the case of logarithmic interactions
• Construction of point vortex equilibria via Brownian ratchets
• Brownian motors: noisy transport far from equilibrium

This page was built for publication: Point vortex equilibria on the sphere via Brownian ratchets