Work

Gibbs equilibrium fluctuations of point vortex dynamics

Year: 2024

Type: article

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.

Source: The Annals of Applied Probability

DOI: 10.1214/24-aap2095

Authors: Francesco Grotto, Eliseo Luongo, Marco Romito

Institutions: University of Pisa, Scuola Normale Superiore

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Università di Pisa

Awards: G2449561906, G4508289328, G8409961469