Density of states for a low-energy point vortex gas on the sphere

DOI10.1016/j.physd.2022.133636OpenAlexW4313530069MaRDI QIDQ2683583

Kevin A. O'Neil

Publication date: 14 February 2023

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

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133636

zbMATH Keywords

microcanonical ensemblepoint vortex\(U\)-statisticvortex gas

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Asymptotic distributions of weighted \(U\)-statistics of degree 2
• Symmetric statistics, Poisson point processes, and multiple Wiener integrals
• Large sample theory for U-statistics and tests of fit
• Statistics of two-dimensional point vortices and high-energy vortex states
• Statistics of point vortex turbulence in non-neutral flows and in flows with translational and rotational symmetries
• Statistical mechanics of vortices in an inviscid two-dimensional fluid
• Onsager's ensemble for point vortices with random circulations on the sphere
• Universal statistics of point vortex turbulence
• Onsager and the theory of hydrodynamic turbulence
• The spherical model of logarithmic potentials as examined by Monte Carlo methods
• Statistical mechanics of strong and weak point vortices in a cylinder
• Statistical equilibrium states for two-dimensional flows
• Statistical mechanics of Euler equations in two dimensions
• Energy distribution in a neutral gas of point vortices.

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