Gibbs Equilibrium Fluctuations of Point Vortex Dynamics

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 $\beta \ge 0$. We prove that the space-time fluctuation field around the (constant) Mean Field limit satisfies when $N\to \infty$ a generalized version of 2-dimensional Euler dynamics preserving the Gaussian Energy-Enstrophy ensemble.

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Cited by in corpus (1)

• Decay of Time Correlations in Point Vortex Systems