Statistical mechanics of the \(N\)-point vortex system with random intensities on a bounded domain

DOI10.1016/j.anihpc.2003.05.002zbMath1072.82026OpenAlexW1985468400MaRDI QIDQ1888405

Cassio Neri

Publication date: 23 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_3_381_0

zbMATH Keywords

Statistical mechanicsEntropyOnsager theoryMean field equation\(N\)-point vortex systemLimits of Gibbs's measures

Mathematics Subject Classification ID

Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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Cites Work

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• Exact solutions of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Numerical calculation of nonunique solutions of a two-dimensional Sinh- Poisson equation
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
• Symmetric Measures on Cartesian Products
• Statistical mechanics of two-dimensional vortices in a bounded container
• Statistical mechanics of classical particles with logarithmic interactions

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