We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the canonical Gibbs ensemble at inverse temperature β≥0. We prove that the space-time fluctuation field around the (constant) mean field limit satisfies when N→∞ a generalized version of two-dimensional Euler dynamics preserving the Gaussian energy-enstrophy ensemble.

Gibbs equilibrium fluctuations of point vortex dynamics

Grotto, Francesco;Romito, Marco
2024-01-01

Abstract

We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the canonical Gibbs ensemble at inverse temperature β≥0. We prove that the space-time fluctuation field around the (constant) mean field limit satisfies when N→∞ a generalized version of two-dimensional Euler dynamics preserving the Gaussian energy-enstrophy ensemble.
2024
Grotto, Francesco; Luongo, Eliseo; Romito, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1282594
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