Statistics of two-dimensional point vortices and high-energy vortex states

DOI10.1007/BF01053742zbMath0935.82568MaRDI QIDQ1279296

K. Appert

Publication date: 14 May 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

thermodynamic limitmicrocanonical ensemble\(U\)-statisticspoint vorticesnegative temperature2d turbulence

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Stochastic analysis applied to problems in fluid mechanics (76M35) Turbulence (76F99) Statistical mechanics of liquids (82D15)

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Cites Work

• Decaying, two-dimensional, Navier-Stokes turbulence at very long times
• The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
• Statistical mechanics of vortices in an inviscid two-dimensional fluid
• Approximation Theorems of Mathematical Statistics
• Nonergodicity of point vortices
• Convergence of the point vortex method for the 2-D euler equations
• Statistical mechanics of two-dimensional vortices in a bounded container
• Non-Gaussian probability distributions for a vortex fluid
• Statistical mechanics of Euler equations in two dimensions
• The emergence of isolated coherent vortices in turbulent flow